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Table of contents

    15 January 2010, Volume 19 Issue 1 Previous issue    Next issue
    GENERAL
    Identifying the temperature distribution in a parabolice quation with overspecified data using a multiquadric quasi-interpolation method
    Ma Li-Min(马利敏) and Wu Zong-Min(吴宗敏)
    Chin. Phys. B, 2010, 19 (1):  010201.  DOI: 10.1088/1674-1056/19/1/010201
    Abstract ( 1680 )   PDF (107KB) ( 819 )  
    In this paper, we use a kind of univariate multiquadric quasi-interpolation to solve a parabolic equation with overspecified data, which has arisen in many physical phenomena. We obtain the numerical scheme by using the derivative of the quasi-interpolation to approximate the spatial derivative of the dependent variable and a simple forward difference to approximate the temporal derivative of the dependent variable. The advantage of the presented scheme is that the algorithm is very simple so it is very easy to implement. The results of the numerical experiment are presented and are compared with the exact solution to confirm the good accuracy of the presented scheme.
    A new eight-dimensional Lie superalgebra and two corresponding hierarchies of evolution equations
    Wang Xin-Zeng(王新赠) and Dong Huan-He(董焕河)
    Chin. Phys. B, 2010, 19 (1):  010202.  DOI: 10.1088/1674-1056/19/1/010202
    Abstract ( 1653 )   PDF (100KB) ( 551 )  
    A new eight-dimensional Lie superalgebra is constructed and two isospectral problems with six potentials are designed. Corresponding hierarchies of nonlinear evolution equations, as well as super-AKNS and super-Levi, are derived. Their super-Hamiltonian structures are established by making use of the supertrace identity, and they are integrable in the sense of Liouville.
    A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters
    Mo Jia-Qi(莫嘉琪)
    Chin. Phys. B, 2010, 19 (1):  010203.  DOI: 10.1088/1674-1056/19/1/010203
    Abstract ( 1564 )   PDF (87KB) ( 867 )  
    A class of singularly perturbed initial boundary value problems of reaction diffusion equations for the nonlinear boundary condition with two parameters is considered. Under suitable conditions, by using the theory of differential inequalities, the existence and the asymptotic behaviour of the solution for the initial boundary value problem are studied. The obtained solution indicates that there are initial and boundary layers and the thickness of the boundary layer is less than the thickness of the initial layer.
    Evolutionary prisoner's dilemma on Newman--Watts socialnetworks with an asymmetric payoff distribution mechanism
    Du Wen-Bo(杜文博), Cao Xian-Bin(曹先彬), Yang Han-Xin(杨涵新), and Hu Mao-Bin(胡茂彬)
    Chin. Phys. B, 2010, 19 (1):  010204.  DOI: 10.1088/1674-1056/19/1/010204
    Abstract ( 1636 )   PDF (736KB) ( 790 )  
    In this paper, we introduce an asymmetric payoff distribution mechanism into the evolutionary prisoner's dilemma game (PDG) on Newman--Watts social networks, and study its effects on the evolution of cooperation. The asymmetric payoff distribution mechanism can be adjusted by the parameter α: if $\alpha>0$, the rich will exploit the poor to get richer; if $\alpha<0$, the rich are forced to offer part of their income to the poor. Numerical results show that the cooperator frequency monotonously increases with α and is remarkably promoted when $\alpha>0$. The effects of updating order and self-interaction are also investigated. The co-action of random updating and self-interaction can induce the highest cooperation level. Moreover, we employ the Gini coefficient to investigate the effect of asymmetric payoff distribution on the the system's wealth distribution. This work may be helpful for understanding cooperative behaviour and wealth inequality in society.
    Wavelet-based multifractal analysis of DNA sequences by using chaos-game representation
    Han Jia-Jing(韩佳静) and Fu Wei-Juan (符维娟)
    Chin. Phys. B, 2010, 19 (1):  010205.  DOI: 10.1088/1674-1056/19/1/010205
    Abstract ( 1712 )   PDF (2714KB) ( 948 )  
    Chaos game representation (CGR) is proposed as a scale-independent representation for DNA sequences and provides information about the statistical distribution of oligonucleotides in a DNA sequence. CGR images of DNA sequences represent some kinds of fractal patterns, but the common multifractal analysis based on the box counting method cannot deal with CGR images perfectly. Here, the wavelet transform modulus maxima (WTMM) method is applied to the multifractal analysis of CGR images. The results show that the scale-invariance range of CGR edge images can be extended to three orders of magnitude, and complete singularity spectra can be calculated. Spectrum parameters such as the singularity spectrum span are extracted to describe the statistical character of DNA sequences. Compared with the singularity spectrum span, exon sequences with a minimal spectrum span have the most uniform fractal structure. Also, the singularity spectrum parameters are related to oligonucleotide length, sequence component and species, thereby providing a method of studying the length polymorphism of repeat oligonucleotides.
    Lie symmetries and conserved quantities for a two-dimensional nonlinear diffusion equation of concentration
    Zhao Li(赵丽), Fu Jing-Li(傅景礼), and Chen Ben-Yong(陈本永)
    Chin. Phys. B, 2010, 19 (1):  010301.  DOI: 10.1088/1674-1056/19/1/010301
    Abstract ( 1676 )   PDF (152KB) ( 1080 )  
    The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation of concentration are considered. Based on the invariance of the two-dimensional nonlinear diffusion equation of concentration under the infinitesimal transformation with respect to the generalized coordinates and time, the determining equations of Lie symmetries are presented. The Lie groups of transformation and infinitesimal generators of this equation are obtained. The conserved quantities associated with the nonlinear diffusion equation of concentration are derived by integrating the characteristic equations. Also, the solutions of the two-dimensional nonlinear diffusion equation of concentration can be obtained.
    Nonperturbative solutions to cylindrical resonant cavities with dissipative medium and imperfectly conducting walls
    Lin Qiong-Gui(林琼桂)
    Chin. Phys. B, 2010, 19 (1):  010302.  DOI: 10.1088/1674-1056/19/1/010302
    Abstract ( 1434 )   PDF (94KB) ( 503 )  
    Cylindrical waveguides without end surfaces can serve as two-dimensional resonant cavities. In such cavities the electromagnetic oscillations corresponding to an eigenfrequency can always be taken as TM or TE modes even when the walls have a finite conductivity and the medium is absorptive. This paper obtains analytic solutions to the field equations when the cylinder has a circular cross section. Some nonperturbative conclusions are drawn from the eigenvalue equation. Approximate analytic results for the resonant frequencies are obtained when the absorption of the medium is small and the walls are good conductors. Stability of the eigen modes is discussed. Similar results for the coaxial line are presented.
    Deterministic and exact entanglement teleportation viathe W state
    Chen Xiu-Bo(陈秀波), Wen Qiao-Yan(温巧燕), Sun Zhong-Xu(孙中旭), Shangguan Li-Ying(上官丽英), and Yang Yi-Xian(杨义先)
    Chin. Phys. B, 2010, 19 (1):  010303.  DOI: 10.1088/1674-1056/19/1/010303
    Abstract ( 1518 )   PDF (98KB) ( 605 )  
    Utilizing a three-particle W state, we come up with a protocol for the teleportation of an unknown two-particle entangled state. It is shown that the teleportation can be deterministically and exactly realized. Moreover, two-particle entanglement teleportation is generalized to a system consisting of many particles via a three-particle W state and a multi-particle W state, respectively. All unitary transformations performed by the receiver are given in a concise formula.
    Dynamics of vector solitons in two-component Bose--Einstein condensates with time-dependent interactions and harmonic potential
    Zhou Zheng(周政), Yu Hui-You(俞慧友), and Yan Jia-Ren(颜家壬)
    Chin. Phys. B, 2010, 19 (1):  010304.  DOI: 10.1088/1674-1056/19/1/010304
    Abstract ( 1522 )   PDF (138KB) ( 663 )  
    We present two kinds of exact vector-soliton solutions for coupled nonlinear Schr?dinger equations with time-varying interactions and time-varying harmonic potential. Using the variational approach, we investigate the dynamics of the vector solitons. It is found that the two bright solitons oscillate about slightly and pass through each other around the equilibration state which means that they are stable under our model. At the same time, we obtain the opposite situation for dark--dark solitons.
    Critical entanglement and geometric phase of a two-qubitmodel with Dzyaloshinski--Moriya anisotropic interaction
    Li Zhi-Jian(李志坚), Cheng Lu(程璐), and Wen Jiao-Jin(温姣进)
    Chin. Phys. B, 2010, 19 (1):  010305.  DOI: 10.1088/1674-1056/19/1/010305
    Abstract ( 1631 )   PDF (1845KB) ( 762 )  
    We consider a two-qubit system described by the Heisenberg XY model with Dzyaloshinski--Moriya (DM) anisotropic interaction in a perpendicular magnetic field to investigate the relation between entanglement, geometric phase and quantum phase transition (QPT). It is shown that the DM interaction has an effect on the critical boundary. The combination of entanglement and geometric phase may characterize QPT completely. Their jumps mean that the occurrence of QPT and inversely the QPT at the critical point at least corresponds to a jump of one of them.
    Invariant operator theory for the single-photon energy in time-varying media
    Choi Jeong-Ryeol
    Chin. Phys. B, 2010, 19 (1):  010306.  DOI: 10.1088/1674-1056/19/1/010306
    Abstract ( 1464 )   PDF (104KB) ( 711 )  
    After the birth of quantum mechanics, the notion in physics that the frequency of light is the only factor that determines the energy of a single photon has played a fundamental role. However, under the assumption that the theory of Lewis--Riesenfeld invariants is applicable in quantum optics, it is shown in the present work that this widely accepted notion is valid only for light described by a time-independent Hamiltonian, i.e., for light in media satisfying the conditions, $\varepsilon(t)=\varepsilon(0)$, $\mu(t)=\mu(0)$, and $\sigma(t)=0$ simultaneously. The use of the Lewis--Riesenfeld invariant operator method in quantum optics leads to a marvelous result:the energy of a single photon propagating through time-varying linear media exhibits nontrivial time dependence without a change of frequency.
    One scheme for remote quantum logical gates with the assistance of a classical field
    Li Yan-Ling(李艳玲),Fang Mao-Fa(方卯发), and Zeng Ke(曾可)
    Chin. Phys. B, 2010, 19 (1):  010307.  DOI: 10.1088/1674-1056/19/1/010307
    Abstract ( 1473 )   PDF (319KB) ( 628 )  
    A scheme, based on the two two-level atoms resonantly driven by the classical field separately trapped in two cavities coupled by an optical fibre, for the implementation of remote two-qubit gates is investigated. It is found that the quantum controlled-phase and swap gates can be achieved with the assistance of the classical field when there are detunings of the coupling quantum fields. Moreover, the influence of the dissipation of the cavities and the optical fibre is analysed while the spontaneous emission of the atoms can be effectively suppressed by introducing $\Lambda$-type atoms.
    Optical scaled Fresnel--Fourier transform obtained via intermediate coordinate-- momentum representation
    Li Chi-Sheng(李迟生) and Luo Han-Wen(罗汉文)
    Chin. Phys. B, 2010, 19 (1):  010308.  DOI: 10.1088/1674-1056/19/1/010308
    Abstract ( 1683 )   PDF (108KB) ( 533 )  
    Using the intermediate coordinate--momentum representation $|x\rangle_{s,r}$, we introduce a new Hadamard transform. It is found that the operator U corresponding to this transform can be considered as a combination of the Fresnel operator $F(r,s)$   and the Fourier transform operator $\mathcal{F}$ by decomposing U. We also find that the matrix element ${}_{s,r}\langle x|U|f\rangle$ just corresponds to an optical scaled Fresnel--Fourier transform.
    A simple scheme for implementing four-atom quantum dense coding in cavity QED
    Zheng Xiao-Juan(郑小娟), Xu Hui(徐慧), Fang Mao-Fa(方卯发), and Zhu Kai-Cheng(朱开成)
    Chin. Phys. B, 2010, 19 (1):  010309.  DOI: 10.1088/1674-1056/19/1/010309
    Abstract ( 1447 )   PDF (89KB) ( 691 )  
    An experimentally feasible scheme for implementing four-atom quantum dense coding of an atom--cavity system is proposed. The cavity is only virtually excited and no quantum information will be transferred from the atoms to the cavity. Thus the scheme is insensitive to cavity decay and the thermal field. In the scheme, Alice can send faithfully 4 bits of classical information to Bob by sending two qubits. Generalized Bell states can be exactly distinguished by detecting the atomic state, and quantum dense coding can be realized in a simple way.
    Effects of inhomogeneous couplings between atoms and acavity field on entanglement dynamics
    Guo Jin-Liang(郭金良), Xia Yan(夏岩), and Song He-Shan(宋鹤山)
    Chin. Phys. B, 2010, 19 (1):  010310.  DOI: 10.1088/1674-1056/19/1/010310
    Abstract ( 1685 )   PDF (347KB) ( 588 )  
    Based on the concept of concurrence, we have investigated the entanglement dynamics of two two-level atoms coupled to a single-mode cavity field with inhomogeneous couplings. We find that, for some initial states, the inhomogeneous couplings not only induce but also enhance the entanglement in the process of its evolution. In addition, considering the intrinsic decoherence proposed by Milburn, we also find that a proper value of inhomogeneous couplings can enhance the stationary entanglement, and as a result, the destructive effect of intrinsic decoherence on entanglement can be moderated by the inhomogeneous couplings.
    Operating a geometric quantum gate by external controllable parameters
    Ji Ying-Hua(嵇英华), Cai Shi-Hua(蔡十华), Le Jian-Xin(乐建新), and Wang Zi-Sheng(王资生)
    Chin. Phys. B, 2010, 19 (1):  010311.  DOI: 10.1088/1674-1056/19/1/010311
    Abstract ( 1508 )   PDF (144KB) ( 601 )  
    A scheme to perfectly preserve an initial qubit state in geometric quantum computation is proposed for a single-qubit geometric quantum gate in a nuclear magnetic resonance system. At first, by adjusting some magnetic field parameters, one can let the dynamic phase be proportional to the geometric phase. Then, by controlling the azimuthal angle in the initial state, we may realize a geometric quantum gate whose fidelity is equal to one under cyclic evolution. This means that the quantum information is no distortion in the process of geometric quantum computation.
    Partially secret broadcasting, partially secret splitting with quantum entanglement
    Liu Yu(刘玉) and Zhang Bin-Bin(张彬彬)
    Chin. Phys. B, 2010, 19 (1):  010312.  DOI: 10.1088/1674-1056/19/1/010312
    Abstract ( 1823 )   PDF (84KB) ( 556 )  
    In this paper, we propose a classical secret broadcasting and splitting joint protocol in a quantum scenario. With those genuinely entangled states, the boss can always broadcast some of his secrets and split some others to multi-receivers at the same time. The efficiency of the joint protocol is also compared with that of two separate ones which realise classical secret broadcasting and classical secret splitting respectively, and based on the comparison we can see the promising advantage of our joint protocol is that it can realise the two tasks more efficiently and more conveniently.
    Generation of multi-atom W states via Raman transitionin an optical cavity
    Wu Chun-Wang(吴春旺), Han Yang(韩阳), Deng Zhi-Jiao(邓志姣), Liang Lin-Mei(梁林梅), and Li Cheng-Zu(李承祖)
    Chin. Phys. B, 2010, 19 (1):  010313.  DOI: 10.1088/1674-1056/19/1/010313
    Abstract ( 1507 )   PDF (160KB) ( 784 )  
    A simple scheme is proposed to generate the W state of N $\Lambda$-type neutral atoms trapped in an optical cavity via Raman transition. Conditional on no photon leakage from the cavity, the N-qubit W state can be prepared perfectly by turning on a classical coupling field for an appropriate time. Compared with the previous ones, our scheme requires neither individual laser addressing of the atoms, nor demand for controlling N atoms to go through an optical cavity simultaneously with a constant velocity. We investigate the influence of cavity decay using the quantum jump approach and show that the preparation time decreases and the success probability increases with atom number because of a collective enhancement of the coupling.
    The decoherence of the triangular and Coulomb bound potential quantum dot qubit
    Li Hong-Juan(李红娟), Sun Jia-Kui(孙家奎), and Xiao Jing-Lin(肖景林)
    Chin. Phys. B, 2010, 19 (1):  010314.  DOI: 10.1088/1674-1056/19/1/010314
    Abstract ( 1544 )   PDF (888KB) ( 666 )  
    We study the eigenenergies and eigenfunctions of the ground and first-excited states of an electron which is strongly coupled to an LO-phonon in a quantum dot with a triangular bound potential and Coulomb bound potential by using the Pekar variational method. This system may be used as a two-level qubit. Phonon spontaneous emission causes the decoherence of the qubit. Numerical calculations are performed on the decoherence rate as a function of the polar angle, the Coulomb binding parameter, the coupling strength, the confinement length of the quantum dot and the dispersion coefficient.
    Quantum entanglement and control in a capacitively coupled charge qubit circuit
    Liang Bao-Long(梁宝龙), Wang Ji-Suo(王继锁), Meng Xiang-Guo(孟祥国), and Su Jie(苏杰)
    Chin. Phys. B, 2010, 19 (1):  010315.  DOI: 10.1088/1674-1056/19/1/010315
    Abstract ( 1627 )   PDF (2255KB) ( 1131 )  
    The macroscopic quantum entanglement in capacitively coupled SQUID (superconducting quantum interference device)-based charge qubits is investigated theoretically. The entanglement characteristic is discussed by employing the quantum Rabi oscillations and the concurrence. An interesting conclusion is obtained, i.e., the magnetic fluxes $\varPhi_{x1}$ and $\varPhi_{x2}$ through the superconducting loops can adjust the entanglement degree between the qubits.
    One-loop renormalizability of noncommutative U(1) gaugetheory with scalar fields
    Huang Jia-Hui(黄家辉) and Sheng Zheng-Mao(盛正卯)
    Chin. Phys. B, 2010, 19 (1):  010316.  DOI: 10.1088/1674-1056/19/1/010316
    Abstract ( 1514 )   PDF (104KB) ( 515 )  
    This paper uses the background field method to calculate one-loop divergent corrections to the gauge field propagators in noncommutative U(1) gauge theory with scalar fields. It shows that for a massless scalar field, the gauge field propagators are renormalizable to $\theta^2$-order, but for a massive scalar field they are renormalizable only to $\theta$-order.
    Effects of dark energy interacting with massive neutrinos and dark matter on universe evolution
    Chen Ju-Hua(陈菊华) and Wang Yong-Jiu(王永久)
    Chin. Phys. B, 2010, 19 (1):  010401.  DOI: 10.1088/1674-1056/19/1/010401
    Abstract ( 1637 )   PDF (132KB) ( 700 )  
    In this paper we investigate the evolution of the cosmology model with dark energy interacting with massive neutrinos and dark matter. Using the numerical method to investigate the dynamical system, we find that the stronger the interaction between dark energy and dark matter, the lower the ratio of dark matter in the universe is; also, the stronger the interaction between dark energy and massive neutrinos, the lower the ratio of massive neutrinos in the universe is. On the other hand, the interaction between dark energy and dark matter or massive neutrinos has an effect on disturbing the universe's acceleration; we also find that our universe is still accelerating.
    Generalized uncertainty principle and tunneling radiation of the SAdS5 black hole
    Zhao Ren(赵仁), Zhang Li-Chun(张丽春), Wu Yue-Qin(武月琴), and Li Huai-Fan(李怀繁)
    Chin. Phys. B, 2010, 19 (1):  010402.  DOI: 10.1088/1674-1056/19/1/010402
    Abstract ( 1713 )   PDF (91KB) ( 698 )  
    After considering the generalized uncertainty principle, we discuss the quantum tunneling radiation of a five-dimensional Schwarzschild anti de Sitter black hole. The radiation spectrum and the correction value of the Bekenstein--Hawking entropy are derived. In a five-dimensional black hole the one order correction term in the Bekenstein--Hawking entropy correction term is proportional to the third power of the area, and the logarithmic correction term is a two-order small quantity. The correction term is related to the dimension constant introduced in the generalized uncertainty principle. Because the black hole entropy is not divergent, the lowest value of the five-dimensional Schwarzschild anti de Sitter black hole horizon radius is obtained. After considering the generalized uncertainty principle, the radiation spectrum is still consistent with normalization theory.
    The relation between a black hole and a general blackbody system
    Zhou Shi-Wei(周史薇), Liu Bo(刘博),Huang Ji-Li(黄基利), and Liu Wen-Biao(刘文彪)
    Chin. Phys. B, 2010, 19 (1):  010403.  DOI: 10.1088/1674-1056/19/1/010403
    Abstract ( 1876 )   PDF (83KB) ( 1214 )  
    Taking a black hole as a black body system, using general black body radiation theory, a Schwarzschild black hole and a Kerr--Newman black hole are investigated respectively. It is concluded that a black hole can be regarded as an ideal general black body system exactly for the changing process only. However, a stationary global black hole cannot be smoothly regarded as a general black body system. A black hole has some special characteristics which different from a general thermodynamics system. This conclusion means that a black hole should be inherently dynamical, at least when it is taken as a black body system.
    Simulation study of the two-time intensity correlation function of a two-mode laser system with both pump and quantum noises
    Xiang You-Lin(向友林) and Mei Dong-Cheng(梅冬成)
    Chin. Phys. B, 2010, 19 (1):  010501.  DOI: 10.1088/1674-1056/19/1/010501
    Abstract ( 1642 )   PDF (140KB) ( 683 )  
    This paper investigates the two-time intensity correlation function of a two-mode ring laser system subjected to both pump and quantum noises by stochastic simulation. It finds that the decay rate of the intensity correlation function of one mode gets faster with decreasing values of relevant parameters, i.e., the coupling constant $\xi$, the cross-correlation coefficient $\lambda$ , the difference of the pump parameters $\Delta a$ and the pump parameter $a_1$; however, its variations get complex in the other mode when relevant parameters are changed. The investigating results also show that the effects of the mode competition on intensity correlation function are obvious.
    The correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises
    Dong Xiao-Juan(董小娟)
    Chin. Phys. B, 2010, 19 (1):  010502.  DOI: 10.1088/1674-1056/19/1/010502
    Abstract ( 1755 )   PDF (171KB) ( 601 )  
    This paper investigates the correlation between stochastic resonance (SR) and the average phase-synchronization time which is between the input signal and the output signal in a bistable system driven by colour-correlated noises. The results show that the output signal-to-noise ratio can reach a maximum with the increase of the average phase-synchronization time, which may be helpful for understanding the principle of SR from the point of synchronization; however, SR and the maximum of the average phase-synchronization time appear at different optimal noise level, moreover, the effects on them of additive and multiplicative noise are different.
    Stochastic resonance in the FitzHugh--Nagumo system driven by bounded noise
    Yung Kai-Leung(容启亮), Lei You-Ming(雷佑铭), and Xu Yan(徐雁)
    Chin. Phys. B, 2010, 19 (1):  010503.  DOI: 10.1088/1674-1056/19/1/010503
    Abstract ( 1625 )   PDF (221KB) ( 835 )  
    We investigate stochastic resonance (SR) in the FitzHugh--Nagumo system under combined bounded noise and weak harmonic excitation. Taking a spectral amplification factor as a signal-to-noise ratio, we show numerically that bounded noise can induce SR by adjusting either the intensity of bounded noise or its colour. Moreover, the increase of noise colour can enhance the SR and make the peak of the SR shift toward lower noise intensities, which is more feasible in practice. Since bounded noise is flexible to model random excitation, these findings may have some potential applications in engineering, neuroscience and biology.
    A lattice Boltzmann model with an amending function for simulating nonlinear partial differential equations
    Chen Lin-Jie(陈林婕) and Ma Chang-Feng(马昌凤)
    Chin. Phys. B, 2010, 19 (1):  010504.  DOI: 10.1088/1674-1056/19/1/010504
    Abstract ( 1622 )   PDF (771KB) ( 570 )  
    This paper proposes a lattice Boltzmann model with an amending function for one-dimensional nonlinear partial differential equations (NPDEs) in the form $u_t+\alpha uu_x+\beta u^n u_x+\gamma u_{xx}+\delta u_{xxx}+\zeta u_{xxxx}=0$. This model is different from existing models because it lets the time step be equivalent to the square of the space step and derives higher accuracy and nonlinear terms in NPDEs. With the Chapman--Enskog expansion, the governing evolution equation is recovered correctly from the continuous Boltzmann equation. The numerical results agree well with the analytical solutions.
    Estimating the bound for the generalized Lorenz system
    Zheng Yu(郑宇) and Zhang Xiao-Dan(张晓丹)
    Chin. Phys. B, 2010, 19 (1):  010505.  DOI: 10.1088/1674-1056/19/1/010505
    Abstract ( 1721 )   PDF (245KB) ( 763 )  
    A chaotic system is bounded, and its trajectory is confined to a certain region which is called the chaotic attractor. No matter how unstable the interior of the system is, the trajectory never exceeds the chaotic attractor. In the present paper, the sphere bound of the generalized Lorenz system is given, based on the Lyapunov function and the Lagrange multiplier method. Furthermore, we show the actual parameters and perform numerical simulations.
    Impulsive control for permanent magnet synchronous motors with uncertainties: LMI approach
    Li Dong(李东), Wang Shi-Long(王时龙), Zhang Xiao-Hong(张小洪), and Yang Dan(杨丹)
    Chin. Phys. B, 2010, 19 (1):  010506.  DOI: 10.1088/1674-1056/19/1/010506
    Abstract ( 1885 )   PDF (136KB) ( 946 )  
    A permanent magnet synchronous motor (PMSM) may have chaotic behaviours under certain working conditions, especially for uncertain values of parameters, which threatens the security and stability of motor-driven operation. Hence, it is important to study methods of controlling or suppressing chaos in PMSMs. In this paper, the stability of a PMSM with parameter uncertainties is investigated. After uncertain matrices which represent the variable system parameters are formulated through matrix analysis, a novel asymptotical stability criterion is established by employing the method of Lyapunov functions and linear matrix inequality technology. An example is also given to illustrate the effectiveness of our results.
    Reliable impulsive synchronization for a class of nonlinear chaotic systems
    Zhang Li-Ping(张丽萍), Jiang Hai-Bo(姜海波), and Bi Qin-Sheng(毕勤胜)
    Chin. Phys. B, 2010, 19 (1):  010507.  DOI: 10.1088/1674-1056/19/1/010507
    Abstract ( 1615 )   PDF (117KB) ( 757 )  
    The problem of reliable impulsive synchronization for a class of nonlinear chaotic systems has been investigated in this paper. Firstly a reliable impulsive controller is designed by using the impulsive control theory. Then by the uniform asymptotic stability criteria of systems with impulsive effects, some sufficient conditions for reliable impulsive synchronization between the drive system and the response system are obtained. Numerical simulations are given to show the effectiveness of the proposed method.
    A simple method to simultaneously achieve synchronization and anti-synchronization in chaotic systems
    Li Rui-Hong(李瑞红), Chen Wei-Sheng(陈为胜), and Li Shuang(李爽)
    Chin. Phys. B, 2010, 19 (1):  010508.  DOI: 10.1088/1674-1056/19/1/010508
    Abstract ( 1614 )   PDF (225KB) ( 668 )  
    In this paper, a novel adaptive control approach is presented to simultaneously achieve synchronization and anti-synchronization in partially linear chaotic systems. Through appropriately separating state vectors of such systems, synchronization and anti-synchronization could be simultaneously realized in different subspaces, which may be strictly proven theoretically. Simulation results for a Lorenz chaotic system and a new hyper-chaotic system are provided to illustrate the effectiveness of the proposed method. Finally, a new secure communication scheme based on such a synchronization phenomenon of the hyper-chaotic system is demonstrated. Numerical results show success in transmitting a periodic signal with high security.
    Global dynamical analysis of vibrational manifolds of HOCl and HOBr under anharmonicity and Fermi resonance: the dynamical potential approach
    Fang Chao(房超) and Wu Guo-Zhen(吴国祯)
    Chin. Phys. B, 2010, 19 (1):  010509.  DOI: 10.1088/1674-1056/19/1/010509
    Abstract ( 1638 )   PDF (422KB) ( 609 )  
    The vibrational dynamics of HOCl and HOBr between bending and OCl/OBr stretching coordinates with anharmonicity and Fermi coupling is studied with the classical dynamical potential approach. The quantal vibrational dynamics is mostly mapped out by the classical nonlinear variables such as fixed points, except for the state energies, which are quantized. This approach is global in the sense that the focus is on a set of levels instead of individual ones. The dynamics of HOBr is demonstrated to be less complicated. The localized modes along the OCl/OBr stretching coordinates are also shown to have O--Br bonds more prone to dissociation.
    Stochastic period-doubling bifurcation analysis of a Rössler system with a bounded random parameter
    Ni Fei(倪菲), Xu Wei(徐伟), Fang Tong(方同), and Yue Xiao-Le(岳晓乐)
    Chin. Phys. B, 2010, 19 (1):  010510.  DOI: 10.1088/1674-1056/19/1/010510
    Abstract ( 1426 )   PDF (240KB) ( 919 )  
    This paper aims to study the stochastic period-doubling bifurcation of the three-dimensional Rössler system with an arch-like bounded random parameter. First, we transform the stochastic Rössler system into its equivalent deterministic one in the sense of minimal residual error by the Chebyshev polynomial approximation method. Then, we explore the dynamical behaviour of the stochastic Rössler system through its equivalent deterministic system by numerical simulations. The numerical results show that some stochastic period-doubling bifurcation, akin to the conventional one in the deterministic case, may also appear in the stochastic Rössler system. In addition, we also examine the influence of the random parameter intensity on bifurcation phenomena in the stochastic Rössler system.
    A new car-following model considering velocity anticipation
    Tian Jun-Fang(田钧方), Jia Bin(贾斌), Li Xin-Gang(李新刚), and Gao Zi-You(高自友)
    Chin. Phys. B, 2010, 19 (1):  010511.  DOI: 10.1088/1674-1056/19/1/010511
    Abstract ( 1759 )   PDF (199KB) ( 1095 )  
    The full velocity difference model proposed by Jiang et al. [2001 Phys. Rev. E 64 017101] has been improved by introducing velocity anticipation. Velocity anticipation means the follower estimates the future velocity of the leader. The stability condition of the new model is obtained by using the linear stability theory. Theoretical results show that the stability region increases when we increase the anticipation time interval. The mKdV equation is derived to describe the kink--antikink soliton wave and obtain the coexisting stability line. The delay time of car motion and kinematic wave speed at jam density are obtained in this model. Numerical simulations exhibit that when we increase the anticipation time interval enough, the new model could avoid accidents under urgent braking cases. Also, the traffic jam could be suppressed by considering the anticipation velocity. All results demonstrate that this model is an improvement on the full velocity difference model.
    Evolution of a protein domain interaction network
    Gao Li-Feng(高丽锋), Shi Jian-Jun(石建军), and Guan Shan(官山)
    Chin. Phys. B, 2010, 19 (1):  010512.  DOI: 10.1088/1674-1056/19/1/010512
    Abstract ( 1542 )   PDF (228KB) ( 624 )  
    In this paper, we attempt to understand complex network evolution from the underlying evolutionary relationship between biological organisms. Firstly, we construct a Pfam domain interaction network for each of the 470 completely sequenced organisms, and therefore each organism is correlated with a specific Pfam domain interaction network; secondly, we infer the evolutionary relationship of these organisms with the nearest neighbour joining method; thirdly, we use the evolutionary relationship between organisms constructed in the second step as the evolutionary course of the Pfam domain interaction network constructed in the first step. This analysis of the evolutionary course shows: (i) there is a conserved sub-network structure in network evolution; in this sub-network, nodes with lower degree prefer to maintain their connectivity invariant, and hubs tend to maintain their role as a hub is attached preferentially to new added nodes; (ii) few nodes are conserved as hubs; most of the other nodes are conserved as one with very low degree; (iii) in the course of network evolution, new nodes are added to the network either individually in most cases or as clusters with relative high clustering coefficients in a very few cases.
    An improved loopless mounting method for cryocrystallography Hot!
    Qi Jian-Xun(齐建勋) and Jiang Fan(江凡)
    Chin. Phys. B, 2010, 19 (1):  010601.  DOI: 10.1088/1674-1056/19/1/010601
    Abstract ( 1395 )   PDF (2423KB) ( 561 )  
    Based on a recent loopless mounting method, a simplified loopless and bufferless crystal mounting method is developed for macromolecular crystallography. This simplified crystal mounting system is composed of the following components: a home-made glass capillary, a brass seat for holding the glass capillary, a flow regulator, and a vacuum pump for evacuation. Compared with the currently prevalent loop mounting method, this simplified method has almost the same mounting procedure and thus is compatible with the current automated crystal mounting system. The advantages of this method include higher signal-to-noise ratio, more accurate measurement, more rapid flash cooling, less x-ray absorption and thus less radiation damage to the crystal. This method can be extended to the flash-freeing of a crystal without or with soaking it in a lower concentration of cryoprotectant, thus it may be the best option for data collection in the absence of suitable cryoprotectant. Therefore, it is suggested that this mounting method should be further improved and extensively applied to cryocrystallographic experiments.
    Thermal and mechanical characterizations of a substrate-free focal plane array
    Cheng Teng(程腾), Zhang Qing-Chuan(张青川), Chen Da-Peng(陈大鹏), Shi Hai-Tao(史海涛), Gao Jie(高杰), Qian Jian(钱剑), and Wu Xiao-Ping(伍小平)
    Chin. Phys. B, 2010, 19 (1):  010701.  DOI: 10.1088/1674-1056/19/1/010701
    Abstract ( 1498 )   PDF (7452KB) ( 2311 )  
    We propose a substrate-free focal plane array (FPA) in this paper. The solid substrate is completely removed, and the microcantilevers extend from a supporting frame. Using finite element analysis, the thermal and mechanical characterizations of the substrate-free FPA are presented. Because of the large decrease in thermal conductance, the supporting frame is temperature dependent, which brings out a unique feature: the lower the thermal conductance of the supporting frame is, the higher the energy conversion efficiency in the substrate-free FPA will be. The results from the finite element analyses are consistent with our measurements: two types of substrate-free FPAs with pixel sizes of 200× 200 and 60 × 60 μm2 are implemented in the proposed infrared detector. The noise equivalent temperature difference (NETD) values are experimentally measured to be 520 and 300~mK respectively. Further refinements are considered in various aspects, and the substrate-free FPA with a pixel size of 30 × 30 μm2 has a potential of achieving an NETD value of 10 mK.
    Compound diffractive telescope system: design, straylight analysis, and optical test
    Yue Jin-Ying(岳巾英), Liu Hua(刘华), Lu Zhen-Wu(卢振武), Xu Wen-Bin(许文斌),Zhang Hu(张虎), Zhang Hong-Xin(张红鑫), and Liu Ying(刘英)
    Chin. Phys. B, 2010, 19 (1):  010702.  DOI: 10.1088/1674-1056/19/1/010702
    Abstract ( 1572 )   PDF (6952KB) ( 912 )  
    The compound diffractive telescope is a novel space optical system which combines the structure of compound eyes with diffractive optics and so it has a lighter weight, a wider field of view (FOV), a lower cost as well as looser fabrication tolerance. In this paper, the design of a compound diffractive telescope composed of one primary lens and twenty-one eyepieces is introduced. Then the influence of diffraction orders on the performance of the system is analysed. A modified phase function model of diffractive optics is proposed to analyse the modulation transfer function (MTF) curves for 0℃ FOV, which provides a more accurate prediction of the performance of the system. In addition, an optimized mechanism is also proposed to suppress stray light. The star image and resolution tests show that the system can achieve diffraction limit imaging within ± 2℃ of FOV and ±4 mm of eccentricity. Finally, a series of pictures of an object are taken from different channels, and the splicing of pictures from adjacent FOVs is demonstrated. In summary, the designed system has been proved to have great potential applications.
    A new method for high-energy pulsed Gamma measurement within intense background x-rays
    Tan Xin-Jian(谭新建), Ouyang Xiao-Ping(欧阳晓平), Wang Qun-Shu(王群书), Song Zhao-Hui(宋朝晖), Kang Ke-Jun(康克军), and Xia Liang-Bin(夏良斌)
    Chin. Phys. B, 2010, 19 (1):  010703.  DOI: 10.1088/1674-1056/19/1/010703
    Abstract ( 1388 )   PDF (299KB) ( 571 )  
    The accelerator-generating 6.13 MeV pulsed Gamma by 19F(p, $\alpha\gamma$)160 reaction usually synchronizes with an intense bremsstrahlung x-ray which has a maximum energy of 1~MeV. This paper proposes a new method, named the scattering and absorbing method, to diagnose the 6.13 MeV Gamma. This method includes two parts: the detector and a scatterer placed in front of the detector. The detector converts the Gamma to electrons and then collects the electrons by a scintillator. In order to restrain the interference of the low-energy background, the scintillator collects the electrons at a small angle. The scintillator is wrapped with electro-absorbing material to absorb the low-energy electrons generated by background x-rays. The theoretical sensitivity ratio of 6.13 MeV Gamma to 1 MeV x-rays is greater than 150. The scatterer is a pretreatment tool to scatter some background x-rays away from the radial beam before they enter the detector. By varying the length, the scatterer can reduce the background x-rays to an acceptable level for the detector.
    NUCLEAR PHYSICS
    Pulsed ion beam-assisted carburizing of titanium in methane discharge
    M. Shafiq, M. Hassan, K. Shahzad, A. Qayyum, S. Ahmad, R. S. Rawat, and M. Zakaullah
    Chin. Phys. B, 2010, 19 (1):  012801.  DOI: 10.1088/1674-1056/19/1/012801
    Abstract ( 1504 )   PDF (1150KB) ( 818 )  
    The carburizing of titanium (Ti) is accomplished by utilizing energetic ion pulses of a 1.5 kJ Mather type dense plasma focus (DPF) device operated in methane discharge. X-ray diffraction (XRD) analysis confirms the deposition of polycrystalline titanium carbide (TiC). The samples carburized at lower axial and angular positions show an improved texture for a typical (200)TiC plane. The Williamson--Hall method is employed to estimate average crystallite size and microstrains in the carburized Ti surface. Crystallite size is found to vary from ~50 to 100 nm, depending on the deposition parameters. Microstrains vary with the sample position and hence ion flux, and are converted from tensile to compressive by increasing the flux. The carburizing of Ti is confirmed by two major doublets extending from 300 to 390 cm-1 and from 560 to 620 cm-1 corresponding to acoustic and optical active modes in Raman spectra, respectively. Analyses by scanning electron microscopy/energy dispersive x-ray spectroscopy (SEM/EDS) have provided qualitative and quantitative profiles of the carburized surface. The Vickers microhardness of Ti is significantly improved after carburizing.
    ATOMIC AND MOLECULAR PHYSICS
    First-principles study of diffusion behaviour of point defects in the O-terminated (0001) surface in wurtzite ZnO
    Huang Gui-Yang(黄贵洋), Wang Chong-Yu(王崇愚), and Wang Jian-Tao(王建涛)
    Chin. Phys. B, 2010, 19 (1):  013101.  DOI: 10.1088/1674-1056/19/1/013101
    Abstract ( 2004 )   PDF (530KB) ( 938 )  
    A detailed first-principles study of the diffusion behaviour of point defects in the O-terminated (0001) surface in wurtzite ZnO was performed. The O vacancy and interstitial are found to diffuse much more easily in surface than in bulk. The Zn vacancy has a similar migration barrier for both bulk and surface, but has much smaller barrier for the diffuse-in process. The Zn interstitial is difficult to diffuse in the surface directly, but it can diffuse into the bulk relatively easily. Specific values of corresponding migration barriers are obtained.
    Solvent effects on the S0S2 absorption spectra of $\beta$-carotene
    Liu Wei-Long(刘伟龙), Wang De-Min(王德敏), Zheng Zhi-Ren(郑植仁), Li Ai-Hua(李艾华), and Su Wen-Hui(苏文辉)
    Chin. Phys. B, 2010, 19 (1):  013102.  DOI: 10.1088/1674-1056/19/1/013102
    Abstract ( 1509 )   PDF (144KB) ( 1327 )  
    Absorption spectra of $\beta$ -carotene in 31 solvents are measured in ambient conditions. Solvent effects on the 0--0 band energy, the bandwidth, and the transition moment of the S0S2 transition are analysed. The discrepancies between published results of the solvent effects on the 0--0 band energy are explained by taking into account microscopic solute-solvent interactions. The contributions of polarity and polarizability of solvents to 0--0 band energy and bandwidth are quantitatively distinguished. The 0--0 transition energy of the S2 state at the gas phase is predicted to locate between 23000 and 23600 cm-1.
    Elastic scattering of two ground-state N atoms
    Zhang Xiao-Niu(张小妞), Shi De-Heng(施德恒), Sun Jin-Feng(孙金锋), and Zhu Zun-Lue(朱遵略)
    Chin. Phys. B, 2010, 19 (1):  013501.  DOI: 10.1088/1674-1056/19/1/013501
    Abstract ( 1528 )   PDF (428KB) ( 719 )  
    An interaction potential for an N2(X1$\sigma_{\rm g}^+$) molecule is constructed by using the highly accurate valence internally contracted multireference configuration interaction method and the largest basis set, aug-cc-pV6Z, in the valence range. The potential is used to investigate the elastic scattering of two N atoms at energies from 1.0× 10-11 to 1.0× 10-4 a.u. The derived total elastic cross sections are very large and almost constant at ultralow temperatures, and the shape of total elastic cross section curve is mainly dominated by the s-partial wave at very low collision energies. Three shape resonances are found in the total elastic cross sections. Concretely, the first one is very sharp and strong. It results from the g-partial-wave contribution and the resonant energy is 3.645× 10-6 a.u. The second one is contributed by the h-partial wave and the resonant energy is 1.752× 10-5 a.u. This resonance is broadened by those from the d- and f-partial waves. The third one comes from the l = 6 partial wave contribution and the resonant energy is 3.522× 10-5 a.u. This resonance is broadened by those from the g- and h-partial waves. The N2(X1$\sigma_{\rm g}^+$) molecular parameters, which are determined at the current theoretical level, achieve very high accuracy due to the employment of the largest correlation-consistent basis set in the valence range.
    Positronium diffusion in porous methylsilsesquioxanethin films
    Dong Xi-Jie(董锡杰), Hu Yi-Fan(胡一帆), and Wu Yu-Ying(吴玉莹)
    Chin. Phys. B, 2010, 19 (1):  013601.  DOI: 10.1088/1674-1056/19/1/013601
    Abstract ( 1480 )   PDF (1681KB) ( 647 )  
    Depth profiled positronium (Ps) annihilation lifetime spectroscopy (PALS) is an extremely useful probe of the pore characteristics in nanoporous low-dielectric (low-k) constant thin films. PALS has also been considered as a potential probe to investigate diffusion barrier integrity and the structural changes of porous low-k films during their integration with Cu. Hence, it is essential to understand the diffusion behaviour of positronium/Cu atoms in the films. In this work, based on the fact that porous materials possess characteristics of statistical self-similarity, a fractal model, the Menger sponge model, has been applied to simulate the structure of a promising dielectric, porous methylsilsesquioxane (MSQ) films. The diffusion behaviour of Ps out of the fractal model and into the surrounding vacuum is studied by means of the diffusion equation and traditional advective--diffusive theory. Predictive results from our model show good agreement with measurement data.
    CLASSICAL AREAS OF PHENOMENOLOGY
    Excitation of defect modes from the extended photonic band-gap structures of 1D photonic lattices
    Zhou Ke-Ya(周可雅), Guo Zhong-Yi(郭忠义), Muhammad Ashfaq Ahmad, and Liu Shu-Tian(刘树田)
    Chin. Phys. B, 2010, 19 (1):  014201.  DOI: 10.1088/1674-1056/19/1/014201
    Abstract ( 1534 )   PDF (460KB) ( 553 )  
    This paper stuides numerically the model equation in a one dimensional defective photonic lattice by modifying the potential function to a periodic function. It is found that defect modes (DMs) can be regarded as Bloch modes which are excited from the extended photonic band-gap structure at Bloch wave-numbers with kx = 0. The DMs for both positive and negative defects are considered in this method.
    Tiled-aperture coherent beam combining of two high-power fibre amplifiers
    Zhou Pu(周朴), Ma Yan-Xing(马阎星), Wang Xiao-Lin(王小林), Ma Hao-Tong(马浩统), Xu Xiao-Jun(许晓军), and Liu Ze-Jin(刘泽金)
    Chin. Phys. B, 2010, 19 (1):  014202.  DOI: 10.1088/1674-1056/19/1/014202
    Abstract ( 1462 )   PDF (1031KB) ( 993 )  
    We demonstrate coherent beam combining of two tiled-aperture single-frequency fibre amplifiers with a total output power of 29.65 W by using the multi-dithering technique. The two laser beams are packaged closely by using free-space mirrors side by side into a tiled-aperture with a near-field fill factor of 62%. Active phase control of the amplifier is performed on commercially available digital lock-in amplifiers. Experimental results show that the power contained in the main-lobe in closed-loop is 1.72 times greater than that in open-loop, which is 86% for the ideal case. The fringe contrast of the far-field fringe pattern is as high as 80% when the system is in closed-loop. The beam quality of the combined beam is computed to be BQ = 1.48. The whole system in closed-loop performs well in a long-time observation.
    Novel uncertainty relations associated with fractional Fourier transform
    Xu Guan-Lei(徐冠雷), Wang Xiao-Tong(王孝通), and Xu Xiao-Gang(徐晓刚)
    Chin. Phys. B, 2010, 19 (1):  014203.  DOI: 10.1088/1674-1056/19/1/014203
    Abstract ( 1493 )   PDF (108KB) ( 561 )  
    In this paper the relations between two spreads, between two group delays, and between one spread and one group delay in fractional Fourier transform (FRFT) domains, are presented and three theorems on the uncertainty principle in FRFT domains are also developed. Theorem 1 gives the bounds of two spreads in two FRFT domains. Theorem 2 shows the uncertainty relation between two group delays in two FRFT domains. Theorem 3 presents the crossed uncertainty relation between one group delay and one spread in two FRFT domains. The novelty of their results lies in connecting the products of different physical measures and giving their physical interpretations. The existing uncertainty principle in the FRFT domain is only a special case of theorem 1, and the conventional uncertainty principle in time-frequency domains is a special case of their results. Therefore, three theorems develop the relations of two spreads in time-frequency domains into the relations between two spreads, between two group delays, and between one spread and one group delay in FRFT domains.
    Dynamic analysis of holographic gratings in amulti-wavelength visible light sensitive photopolymer
    Chen Ke(陈珂), Cheng Jian-Qun(成建群), Wang Yan(王艳), and Huang Ming-Ju(黄明举)
    Chin. Phys. B, 2010, 19 (1):  014204.  DOI: 10.1088/1674-1056/19/1/014204
    Abstract ( 1593 )   PDF (317KB) ( 727 )  
    A dynamic theoretical model of photochemistry and hologram formation in holographic photopolymer is established, and the dynamic development process of holographic gratings in the photopolymer is discussed with the model. A novel multi-wavelength visible light sensitive photopolymer for holographic storage is prepared. The influence of exposure wavelength on holographic storage characteristics is analysed. By fitting the experimental data of transmittance and diffraction efficiency to a function of time with different exposure intensities and wavelengths, the variations of dynamic parameters of photochemistry and photopolymerization diffusion are presented.
    Effects of spatial interference on intensity--intensity correlations in collective two-atom emission
    Tan Hua-Tang(谭华堂)
    Chin. Phys. B, 2010, 19 (1):  014205.  DOI: 10.1088/1674-1056/19/1/014205
    Abstract ( 1500 )   PDF (170KB) ( 544 )  
    In this paper, we investigate the effects of the spatial variation of driving-laser phase in a collective two-atom system on the intensity--intensity correlations of the resonant fluorescence. It is shown that the intensity--intensity correlations exhibit quite different characteristics for the different values of the spatial phase of the laser at the position of the two atoms in both cases of the weak and strong driving lasers. Our results suggest that the intensity--intensity correlations can serve as a probe of the spatial interference effect arising from the spatial variation of the laser phase.
    Entropy squeezing of an atom with a k-photon in the Jaynes--Cummings model
    Kang Dong-Peng(康冬鹏), Liao Qing-Hong(廖庆洪), Ahamd Muhammad Ashfaq, Wang Yue-Yuan(王月媛), and Liu Shu-Tian(刘树田)
    Chin. Phys. B, 2010, 19 (1):  014206.  DOI: 10.1088/1674-1056/19/1/014206
    Abstract ( 1578 )   PDF (304KB) ( 519 )  
    The entropy squeezing of an atom with a k-photon in the Jaynes--Cummings model is investigated. For comparison, we also study the corresponding variance squeezing and atomic inversion. Analytical results show that entropy squeezing is preferable to variance squeezing for zero atomic inversion. Moreover, for initial conditions of the system the relation between squeezing and photon transition number is also discussed. This provides a theoretical approach to finding out the optimal entropy squeezing.
    Wave function for the squeezed atomic coherent state in entangled state representation and some of its applications
    Wang Ji-Suo(王继锁), Meng Xiang-Guo(孟祥国), and Liang Bao-Long(梁宝龙)
    Chin. Phys. B, 2010, 19 (1):  014207.  DOI: 10.1088/1674-1056/19/1/014207
    Abstract ( 1524 )   PDF (110KB) ( 820 )  
    Based on the Einstein, Podolsky, and Rosen (EPR) entangled state representation, this paper introduces the wave function for the squeezed atomic coherent state (SACS), which turns out to be just proportional to a single-variable ordinary Hermite polynomial of order 2j. As important applications of the wave function, the Wigner function of the SACS and its marginal distribution are obtained and the eigenproblems of some Hamiltonians for the generalized angular momentum system are solved.
    New representation of the multimode phase shifting operator and its application
    Wang Shuai(王帅), Jiang Ji-Jian(蒋继建), Xu Shi-Min(徐世民), and Li Hong-Qi(李洪奇)
    Chin. Phys. B, 2010, 19 (1):  014208.  DOI: 10.1088/1674-1056/19/1/014208
    Abstract ( 1678 )   PDF (89KB) ( 592 )  
    Based on the rotation transformation in phase space and the technique of integration within an ordered product of operators, the coherent state representation of the multimode phase shifting operator and one of its new applications in quantum mechanics are given. It is proved that the coherent state is a natural language for describing the phase shifting operator or multimode phase shifting operator. The multimode phase shifting operator is also a useful tool to solve the dynamic problems of the multimode coordinate--momentum coupled harmonic oscillators. The exact energy spectra and eigenstates of such multimode coupled harmonic oscillators can be easily obtained by using the multimode phase shifting operator.
    Effect of cavity dissipation on the emission spectrum of an atom interacting with a field in the dispersive approximation
    Wang Hai-Jun(王海军) and Gao Yun-Feng(高云峰)
    Chin. Phys. B, 2010, 19 (1):  014209.  DOI: 10.1088/1674-1056/19/1/014209
    Abstract ( 1643 )   PDF (474KB) ( 572 )  
    The emission spectrum of a two-level atom interacting dispersively with a single mode radiation field in the dissipative cavity is investigated. A general expression for the emission spectrum is derived. The numerical results for the initial field in coherent state are calculated. It is found that the spectrum structure is influenced significantly by the cavity damping constant $\kappa$, and the spectrum structure is dependent on the interaction time T when the cavity dissipation is present. Only one peak located at $\omega_a$ appears in the atomic spectra for larger T.
    Effects of an applied low frequency field on the dynamics of a two-level atom interacting with a single-mode field
    Xu Xun-Wei(徐勋卫) and Liu Nian-Hua(刘念华)
    Chin. Phys. B, 2010, 19 (1):  014210.  DOI: 10.1088/1674-1056/19/1/014210
    Abstract ( 1507 )   PDF (185KB) ( 482 )  
    The effects of an applied low frequency field on the dynamics of a two-level atom interacting with a single-mode field are investigated. It is shown that the time evolution of the atomic population is mainly controlled by the coupling constants and the frequency of the low frequency field, which leads to a low frequency modulation function for the time evolution of the upper state population. The amplitude of the modulation function becomes larger as the coupling constants increase. The frequency of the modulation function is proportional to the frequency of the low frequency field, and decreases with increasing coupling constant.
    Left-handedness without absorption in the four-level Y-type atomic medium
    Zhao Shun-Cai(赵顺才), Liu Zheng-Dong(刘正东), and Wu Qi-Xuan(吴奇宣)
    Chin. Phys. B, 2010, 19 (1):  014211.  DOI: 10.1088/1674-1056/19/1/014211
    Abstract ( 1522 )   PDF (269KB) ( 696 )  
    In this paper we have investigated three external fields interacting with the four-level Y-type atomic system described by the density-matrix approach. The results show that left-handedness with zero absorption is achieved. The zero absorption property displays the possibility of manipulation by varying the phase and the intensity of the coupling field. Also, the zero absorption property may be used to amplify the evanescent waves that have been lost in imaging by traditional lenses. We propose an approach to obtain a negative refractive medium with zero absorption and the possibility of enhanceingthe imaging resolution in realizing `superlenses'.
    Mechanism and elimination of spectrum filtering in a high power mode-locked fibre laser witha free output coupler
    Zhang Yu-Ying(张玉颖), Zhang Chi(张驰), Hu Ming-Lie(胡明列), Wang Si-Jia(王思佳), Song You-Jian(宋有建), Chai Lu(柴路), and Wang Qing-Yue(王清月)
    Chin. Phys. B, 2010, 19 (1):  014212.  DOI: 10.1088/1674-1056/19/1/014212
    Abstract ( 1689 )   PDF (815KB) ( 535 )  
    The filtering mechanism of a free output coupler mode-locked laser based on large-mode-area photonic-crystal fibre is analysed. A filtering-soliton mode-locked laser with 495 fs pulse width and 21 nJ pulse energy is achieved. Another novel cavity configuration is established to eliminate the filtering effect. Pulses, each 457 fs in width and 16.5 nJ in energy, are obtained in a soliton-like regime. Pulses, each 387 fs in width and 15.8 nJ in energy, are also generated in a stretched pulse regime and could be dechirped to 119 fs externally to the cavity.
    An efficient approach to characterizing and calculating carrier loss due to heating and barrier height variation invertical-cavity surface-emitting lasers
    Wu Jian(吴坚) and H. D. Summers
    Chin. Phys. B, 2010, 19 (1):  014213.  DOI: 10.1088/1674-1056/19/1/014213
    Abstract ( 1513 )   PDF (122KB) ( 622 )  
    It is important to determine quantitatively the internal carrier loss arising from heating and barrier height variation in a vertical-cavity surface-emitting quantum well laser (VCSEL). However, it is generally difficult to realize this goal using purely theoretical formulas due to difficulty in deriving the parameters relating to the quantum well structure. In this paper, we describe an efficient approach to characterizing and calculating the carrier loss due to the heating and the barrier height change in the VCSEL. In the method, the thermal carrier loss mechanism is combined with gain measurement and calculation. The carrier loss is re-characterized in a calculable form by constructing the threshold current and gain detuning-related loss current using the measured gain data and then substituting them for the quantum well-related parameters in the formula. The result can be expressed as a product of an exponential weight factor linked to the barrier height change and the difference between the threshold current and gain detuning-related loss current. The gain variation at cavity frequency due to thermal carrier loss and gain detuning processes is measured by using an AlInGaAs--AlGaAs VCSEL structure. This work provides a useful approach to analysing threshold and loss properties of the VCSEL, particularly, gain offset design for high temperature operation of VCSELs.
    The effects of self-fields on the electron trajectory and gain in a two-stream electromagnetically pumped free-electronlaser with axial guiding field
    H. Mehdian and S. Saviz
    Chin. Phys. B, 2010, 19 (1):  014214.  DOI: 10.1088/1674-1056/19/1/014214
    Abstract ( 1254 )   PDF (506KB) ( 508 )  
    A theory of a two-stream free-electron laser in a combined electromagnetic wiggler (EMW) is developed, in which we use an axial-guide magnetic field and take into account the effects of the self-fields. The electron trajectories and the small signal gain are derived. The stability of the trajectories, the characteristics of the linear-gain, and the normalised maximum gain are studied numerically. The results show that there are nine stable groups of orbits in the presence of self-fields instead of seven groups reported in the absence of the self-field. It is also shown that the normalised gains of four groups of the orbits are decreasing and those for the rest of them are increasing with growing $\bar{\varOmega}_0$. Furthermore, it is found that the two-stream laser with self-field enhances the maximum gain in comparison with the single stream case.
    Operation of Kerr-lens mode-locked Ti:sapphire laser in the non-soliton regime
    Liu Hua-Gang(刘华刚), Hu Ming-Lie(胡明列), Song You-Jian(宋有建), Li Yan-Feng (栗岩峰), Chai Lu(柴路), and Wang Ching-Yue(王清月)
    Chin. Phys. B, 2010, 19 (1):  014215.  DOI: 10.1088/1674-1056/19/1/014215
    Abstract ( 1491 )   PDF (349KB) ( 1309 )  
    A Kerr-lens mode-locked Ti:sapphire laser operating in a non-soliton regime is demonstrated. Dispersive wave generation is observed as a result of third order dispersion in the vicinity of zero dispersion. The characteristics of the Ti:sapphire laser operating in a positive dispersion regime are presented, where the oscillator directly generates pulses with duration continuously tunable from 0.37 ps to 2.11 ps, and 36 fs pulses are achieved after extracavity compression. The oscillation is numerically simulated with an extended nonlinear Schr?dinger equation, and the simulation results are in good agreement with the experimental results.
    Precise relative rotation sensing using slow light
    Wang Nan(王楠), Zhang Yun-Dong(掌蕴东), Wang Hao(王号), Tian He(田赫), Qiu Wei(邱巍), Wang Jin-Fang(王金芳), and Yuan Ping(袁萍)
    Chin. Phys. B, 2010, 19 (1):  014216.  DOI: 10.1088/1674-1056/19/1/014216
    Abstract ( 1423 )   PDF (97KB) ( 638 )  
    A novel relative rotation sensor based on slow light is proposed and analysed. A theoretical analysis shows that the high sensitivity of the proposed rotation sensor is achieved through an electromagnetically-induced-transparency medium. Unlike the tradition detection method, the idea of rotation sensing is to detect group delay between counterpropagating wave packets. It can be used to realize an ultra-precise rotation sensor.
    The theory and experiment of solute migration caused by excited state absorptions
    Jin Xiao(金肖), Wang Yu-Xiao(王玉晓), Shui Min(税敏), Li Chang-Wei(李常伟),Yang Jun-Yi(杨俊义), Zhang Xue-Ru(张学如),Yang Kun(杨昆), and Song Ying-Lin(宋瑛林)
    Chin. Phys. B, 2010, 19 (1):  014217.  DOI: 10.1088/1674-1056/19/1/014217
    Abstract ( 1448 )   PDF (613KB) ( 615 )  
    Nonsymmetrical transition from reverse-saturable absorption (RSA) to saturable absorption (SA) caused by excited state absorption induced mass transport of the CuPcTs dissolved in dimethyl sulfoxide is observed in an open aperture Z-scan experiment with a 21-ps laser pulse. The nonsymmetrical transition from RSA to SA is ascribed neither to saturation of excited state absorption nor to thermal induced mass transport, the so-called Soret effect. In our consideration, strong nonlinear absorption causes the rapid accumulation of the non-uniform kinetic energy of the solute molecules. The non-uniform kinetic field in turn causes the migration of the solute molecules. Additionally, an energy-gradient-induced mass transport theory is presented to interpret the experimental results, and the theoretical calculations are also taken to fit our experimental results.
    Fabrication of two- and three-dimensional periodic submicron structures by holographic lithography with a 635 nm laserand matched photopolymer
    Zhu Teng-Fei(朱腾飞), Tan Bing-Hui(谭炳辉), Pan Xue-Feng(潘雪丰), and Tao Wei-Dong(陶卫东)
    Chin. Phys. B, 2010, 19 (1):  014218.  DOI: 10.1088/1674-1056/19/1/014218
    Abstract ( 1537 )   PDF (2996KB) ( 630 )  
    2D and 3D submicron periodic structures are first fabricated by red-induced photopolymerization using a common 635 nm semiconductor laser and specially developed red-sensitive polymer material. The principle of this new photo-polymer material fabrication is explained and the absorption spectra of the material are measured. This fabrication technique allows a deeper penetration into volume and larger interference irradiation area which is more than 1 cm2. The optical design, theoretical calculations and experimental results including diffraction patterns verifying the formation of periodic structures are presented. Compared with other fabrication technologies using high-power lasers, this approach has greatly reduced the demand for laser apparatus. Therefore, it is much more accessible to most laboratories and potentially usable in holographic fabrication of photonic crystals and devices in micro electro-mechanical systems (MEMS).
    High efficiency and broad bandwidth grating coupler between nanophotonic waveguide and fibre
    Zhu Yu(朱宇), Xu Xue-Jun(徐学俊), Li Zhi-Yong(李智勇), Zhou Liang(周亮), Han Wei-Hua(韩伟华),Fan Zhong-Chao(樊中朝),Yu Yu-De(俞育德), and Yu Jin-Zhong(余金中)
    Chin. Phys. B, 2010, 19 (1):  014219.  DOI: 10.1088/1674-1056/19/1/014219
    Abstract ( 1583 )   PDF (1604KB) ( 1375 )  
    A high efficiency and broad bandwidth grating coupler between a silicon-on-insulator (SOI) nanophotonic waveguide and fibre is designed and fabricated. Coupling efficiencies of 46% and 25% at a wavelength of 1.55 μm are achieved by simulation and experiment, respectively. An optical 3 dB bandwidth of 45 nm from 1530 nm to 1575 nm is also obtained in experiment. Numerical calculation shows that a tolerance to fabrication error of 10 nm in etch depth is achievable. The measurement results indicate that the alignment error of ±2 μm results in less than 1 dB additional coupling loss.
    Valence band variation in Si (110) nanowire induced by a covered insulator
    Xu Hong-Hua(许洪华), Liu Xiao-Yan(刘晓彦), He Yu-Hui(何毓辉), Fan Chun(樊春), Du Gang(杜刚), Sun Ai-Dong(孙爱东), Han Ru-Qi(韩汝琦), and Kang Jin-Feng(康晋锋)
    Chin. Phys. B, 2010, 19 (1):  014601.  DOI: 10.1088/1674-1056/19/1/014601
    Abstract ( 1526 )   PDF (337KB) ( 743 )  
    In this work, we investigate strain effects induced by the deposition of gate dielectrics on the valence band structures in Si (110) nanowire via the simulation of strain distribution and the calculation of a generalized 6 × 6k $\cdot$ p strained valence band. The nanowire is surrounded by the gate dielectric. Our simulation indicates that the strain of the amorphous SiO2 insulator is negligible without considering temperature factors. On the other hand, the thermal residual strain in a nanowire with amorphous SiO2 insulator which has negligible lattice misfit strain pushes the valence subbands upwards by chemical vapour deposition and downwards by thermal oxidation treatment. In contrast with the strain of the amorphous SiO2 insulator, the strain of the HfO2 gate insulator in Si (110) nanowire pushes the valence subbands upwards remarkably. The thermal residual strain by HfO2 insulator contributes to the up-shifting tendency. Our simulation results for valence band shifting and warping in Si nanowires can provide useful guidance for further nanowire device design.
    CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES
    Curvature and Zeeman effects on persistent currents in a multi-walled carbon nanotorus
    Xu Ning(徐宁), Ding Jian-Wen(丁建文), Ma Ming-Ming(马明明), and Tang Xian(汤贤)
    Chin. Phys. B, 2010, 19 (1):  016101.  DOI: 10.1088/1674-1056/19/1/016101
    Abstract ( 1503 )   PDF (395KB) ( 579 )  
    Taking into account both the intrinsic curvature and Zeeman effects, persistent currents in a multi-walled carbon nanotorus are explored by using a supercell method, within the tight-binding formalism. It is shown that in the absence of the Zeeman effect, the intrinsic curvature induces some dramatic changes in energy spectra and thus changes in the shape of the flux-dependent current. A paramagnetism--diamagnetism transition is observed. With consideration of the Zeeman splitting energy, the period of persistent current is destroyed, and a diamagnetism--paramagnetism transition is obtained at high magnetic field. In addition, we further explore the effect of external electric field energy (Eef) on persistent current, indicating that it changes unmonotonously with Eef.
    Elastic behaviour of an edge dislocation near a sharp crack emanating from a semi-elliptical blunt crack
    Fang Qi-Hong(方棋洪), Song Hao-Peng(宋豪鹏), and Liu You-Wen(刘又文)
    Chin. Phys. B, 2010, 19 (1):  016102.  DOI: 10.1088/1674-1056/19/1/016102
    Abstract ( 1670 )   PDF (610KB) ( 789 )  
    The interaction between an edge dislocation and a crack emanating from a semi-elliptic hole is dealt with. Utilizing the complex variable method, closed form solutions are derived for complex potentials and stress fields. The stress intensity factor at the tip of the crack and the image force acting on the edge dislocation are also calculated. The influence of the morphology of the blunt crack and the position of the edge dislocation on the shielding effect to the crack and the image force is examined in detail. The results indicate that the shielding or anti-shielding effect to the stress intensity factor increases acutely when the dislocation approaches the tip of the crack. The effect of the morphology of the blunt crack on the stress intensity factor of the crack and the image force is very significant.
    Effect of vacancy defect clusters on the optical property of the aluminium filter used for the space solar telescope
    Cheng Xiu-Wei(程秀围), Guan Qing-Feng(关庆丰), Fan Xian-Hong(范鲜红), and Chen Bo(陈波)
    Chin. Phys. B, 2010, 19 (1):  016103.  DOI: 10.1088/1674-1056/19/1/016103
    Abstract ( 1522 )   PDF (3758KB) ( 875 )  
    We investigate the microstructures of the pure aluminium foil and filter used on the space solar telescope, irradiated by photons with different doses. The vacancy defect clusters induced by proton irradiation in both samples are characterized by transmission electron microscopy, and the density and the size distribution of vacancy defect clusters are determined. Their transmittances are measured before and after irradiating the samples by protons with energy = 100 keV and dose $\phi$ =6 × 1011/mm2. Our experimental results show that the density and the size of vacancy defect clusters increase with the increase of irradiation doses in the irradiated pure aluminium foils. As irradiation dose increases, vacancies incline to form larger defect clusters. In the irradiated filter, a large number of banded void defects are observed at the agglomerate boundary, which results in the degradation of the optical and mechanical performances of the filter after proton irradiation.
    Prediction of a superhard material of ReN4 with a high shear modulus
    Zhao Wen-Jie(赵文杰), Xu Hong-Bin(许红斌), and Wang Yuan-Xu(王渊旭)
    Chin. Phys. B, 2010, 19 (1):  016201.  DOI: 10.1088/1674-1056/19/1/016201
    Abstract ( 1562 )   PDF (318KB) ( 830 )  
    Using first-principles calculations, this paper systematically investigates the structural, elastic, and electronic properties of ReN4. The calculated positive eigenvalues of the elastic constant matrix show that the orthorhombic Pbca structure of ReN4 is elastically stable. The calculated band structure indicates that ReN4 is metallic. Compared with the synthesized superhard material WB4, it finds that ReN4 exhibits larger bulk and shear moduli as well as a smaller Poisson's ratio. In addition, the elastic constant $c_{44}$ of ReN4 is larger than all the known 5d transition metal nitrides and borides. This combination of properties makes it an ideal candidate for a superhard material.
    Phonon dispersion relations and soft modes of 4? carbon nanotubes
    Miao Ling(缪灵), Liu Hui-Jun(刘惠军), Hu Yi(胡懿), Zhou Xiang(周详), Hu Cheng-Zheng(胡承正), and Shi Jing(石兢)
    Chin. Phys. B, 2010, 19 (1):  016301.  DOI: 10.1088/1674-1056/19/1/016301
    Abstract ( 1597 )   PDF (184KB) ( 938 )  
    The phonon dispersion relations of three kinds of 4? carbon nanotubes are calculated by using the density functional perturbation theory. It is found that the frequencies of some phonon modes are very sensitive to the smearing width used in the calculations, and eventually become negative at low electronic temperature. Moreover, two kinds of soft modes are identified for the (5,0) tube which are quite different from those reported previously. Our results suggest that the (5,0) tube remains metallic at very low temperature, instead of the metallic-semiconducting transition claimed before.
    CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
    Comments on `Enhanced piezoresistivity in Ni-silicone rubber composites'
    D. Bloor, A. Graham, P. J. Laughlin, and D. Lussey
    Chin. Phys. B, 2010, 19 (1):  017001.  DOI: 10.1088/1674-1056/19/1/017001
    Abstract ( 1557 )   PDF (60KB) ( 645 )  
    This paper describes the accepted meaning of the term`negative resistance' and its use in the literature, and discusses the features in the previously published data on QTCTM (market name of a metal--polymer composite) that show that the non-linear, hysteretic current voltage characteristics are not caused by Joule heating. The benefit of the high metal filler loading in QTCTM and other unique features of this composite are reviewed.
    First-principles study of La and Sb-doping effects on electronic structure and optical properties of SrTiO3
    Yun Jiang-Ni(贠江妮), Zhang Zhi-Yong(张志勇), Yan Jun-Feng(闫军锋), and Deng Zhou-Hu(邓周虎)
    Chin. Phys. B, 2010, 19 (1):  017101.  DOI: 10.1088/1674-1056/19/1/017101
    Abstract ( 1660 )   PDF (2928KB) ( 1364 )  
    The effects of La and Sb doping on the electronic structure and optical properties of SrTiO3 are investigated by first-principles calculation of the plane wave ultra-soft pseudo-potential based on density functional theory. The calculated results reveal that corner-shared TiO6 octahedra dominate the main electronic properties of SrTiO3, and its structural stability can be improved by La doping. The La3+ ion fully acts as an electron donor in Sr0.875La0.125TiO3 and the Fermi level shifts into the conduction bands (CBs) after La doping. As for SrSb0.125Ti0.875O3, there is a distortion near the bottom of the CBs for SrSb0.125Ti0.875O3 after Sb doping and an incipient localization of some of the doped electrons trapped in the Ti site, making it impossible to describe the evolution of the density of states (DOS) within the rigid band model. At the same time, the DOSs of the two electron-doped systems shift towards low energies and the optical band gaps are broadened by about 0.4 and 0.6 eV for Sr0.875La0.125TiO3 and SrSb0.125Ti0.875O3, respectively. Moreover, the transmittance of SrSb0.125Ti0.875O3 is as high as 95% in most of the visible region, which is higher than that of Sr0.875La0.125TiO3 (85%). The wide band gap, the small transition probability and the weak absorption due to the low partial density of states (PDOS) of impurity in the Fermi level result in the significant optical transparency of SrSb0.125Ti0.875O3.
    Boson peak in Sm-Al-Co ternary metallic glasses and its possible structural origin
    Liu Hui-Mei(刘慧美), Lu Cheng-Liang(陆成亮), Wang Ke-Feng(王克锋), Liu Jun-Ming(刘俊明), Wang Qing(王清), and Dong Chuang(董闯)
    Chin. Phys. B, 2010, 19 (1):  017102.  DOI: 10.1088/1674-1056/19/1/017102
    Abstract ( 1474 )   PDF (223KB) ( 600 )  
    The low temperature specific heat of Sm-Al-Co ternary metallic glasses is investigated and a clear anomaly associated with the Boson peak is identified. While this anomaly depends slightly on the chemical composition, it has no dependence on external magnetic field. To figure out the mechanism of the Boson peak, we interpret the data within various model frameworks. Unlike earlier work, our study shows that this Boson peak is mainly ascribed to an additional T2 term of the specific heat, which may originate from the quasi-two-dimensional and short-range ordered structure units possibly existing in the metallic glasses.
    Ab initio investigation of boron nanodevices: conductances of the different geometric conformations
    Li Gui-Qin(李桂琴)
    Chin. Phys. B, 2010, 19 (1):  017201.  DOI: 10.1088/1674-1056/19/1/017201
    Abstract ( 1950 )   PDF (223KB) ( 585 )  
    Conductances of different geometric conformations of boron ribbon devices are calculated by the ab initio method. The I--V characteristics of three devices are rather different due to the difference in structure. The current of the hexagonal boron device is the largest and increases nonlinearly. The current of the hybrid hexagon-triangle boron device displays a large low-bias current and saturates at a value of about 5.2 μA. The current of the flat triangular boron flake exhibits a voltage gap at low bias and rises sharply with increasing voltage. The flat triangular boron device can be either conducting or insulating, depending on the field.
    Influence of oxygen on the growth of cubic boron nitride thin films by plasma-enhanced chemical vapour deposition
    Yang Hang-Sheng(杨杭生), Nie An-Min(聂安民), and Qiu Fa-Min(邱发敏)
    Chin. Phys. B, 2010, 19 (1):  017202.  DOI: 10.1088/1674-1056/19/1/017202
    Abstract ( 1659 )   PDF (4765KB) ( 966 )  
    Cubic boron nitride thin films were deposited on silicon substrates by low-pressure inductively coupled plasma-enhanced chemical vapour deposition. It was found that the introduction of O2 into the deposition system suppresses both nucleation and growth of cubic boron nitride. At a B2H6 concentration of 2.5% during film deposition, the critical O2 concentration allowed for the nucleation of cubic boron nitride was found to be less than 1.4%, while that for the growth of cubic boron nitride was higher than 2.1%. Moreover, the infrared absorption peak observed at around 1230--1280 cm-1, frequently detected for cubic boron nitride films prepared using non-ultrahigh vacuum systems, appears to be due to the absorption of boron oxide, a contaminant formed as a result of the oxygen impurity. Therefore, the existence of trace oxygen contamination in boron nitride films can be evaluated qualitatively by this infrared absorption peak.
    Characterization of ion-implanted 4H-SiC Schottky barrier diodes
    Wang Shou-Guo(王守国), Zhang Yan(张岩), Zhang Yi-Men(张义门), and Zhang Yu-Ming(张玉明)
    Chin. Phys. B, 2010, 19 (1):  017203.  DOI: 10.1088/1674-1056/19/1/017203
    Abstract ( 1462 )   PDF (344KB) ( 984 )  
    Ion-implantation layers are fabricated by multiple nitrogen ion-implantations (3 times for sample A and 4 times for sample B) into a p-type 4H-SiC epitaxial layer. The implantation depth profiles are calculated by using the Monte Carlo simulator TRIM. The fabrication process and the I--V and C--V characteristics of the lateral Ti/4H-SiC Schottky barrier diodes (SBDs) fabricated on these multiple box-like ion-implantation layers are presented in detail. Measurements of the reverse I--V characteristics demonstrate a low reverse current, which is good enough for many SiC-based devices such as SiC metal--semiconductor field-effect transistors (MESFETs), and SiC static induction transistors (SITs). The parameters of the diodes are extracted from the forward I--V and C--V characteristics. The values of ideality factor n of SBDs for samples A and B are 3.0 and 3.5 respectively, and the values of series resistance $R_{\rm s}$  are 11.9 and 1.0 kΩ respectively. The values of barrier height $\phi _{\rm B}$  of Ti/4H-SiC are 0.95 and 0.72 eV obtained by the I--V method and 1.14 and 0.93 eV obtained by the C--V method for samples A and B respectively. The activation rates for the implanted nitrogen ions of samples A and B are 2% and 4% respectively extracted from C--V testing results.
    Ohmic contacts of 4H-SiC on ion-implantation layers
    Wang Shou-Guo(王守国), Zhang Yan(张岩), Zhang Yi-Men(张义门), and Zhang Yu-Ming(张玉明)
    Chin. Phys. B, 2010, 19 (1):  017204.  DOI: 10.1088/1674-1056/19/1/017204
    Abstract ( 1534 )   PDF (322KB) ( 860 )  
    The ohmic contacts of 4H-SiC are fabricated on nitrogen ion implanted layers made by performing box-like-profile implantation three and four times. Implantation parameters such as the standard deviation σ and the projection range Rp are calculated by the Monte Carlo simulator TRIM. Ni/Cr ohmic contacts on Si-face 4H-SiC implantation layers are measured by transfer length methods (TLMs). The results show that the values of sheet resistance Rsh are 30 kΩ /□ and 4.9 kΩ/□ and the values of specific contact resistance $\rho_{\rm c}$ of ohmic contacts are 7.1× 10-4 Ω$\cdot$cm2 and 9.5 × 10-5Ω $\cdot$ cm2 for the implanted layers with implantation performed three and four times respectively.
    Effects of O defects on adsorption of small Ag clusters on a MgO(001) surface
    Deng Yong-He(邓永和)
    Chin. Phys. B, 2010, 19 (1):  017301.  DOI: 10.1088/1674-1056/19/1/017301
    Abstract ( 1441 )   PDF (504KB) ( 654 )  
    The interaction of Ag atoms with a defective MgO(001) surface is systematically studied based on density functional theory. The Ag clusters are deposited on neutral and charged oxygen vacancies of the MgO(001) surface. The structures of Ag clusters take the shape of simple models of two- or three-dimensional (2D and 3D) metal particles deposited on the MgO surface. When the nucleation of the metal clusters occurs in the Fs (missing neutral O) centre, the interaction with the substrate is considerably stronger than that in the $F_{\rm s}^+$ (missing O- ) centre. The results show that the adsorption of Ag atoms on the MgO surface with oxygen vacancy is stronger than on a clear MgO surface, thereby attracting more Ag atoms to cluster together, and forming atomic islands.
    Modified surface plasmonic waveguide formed by nanometric parallel lines
    Xue Wen-Rui(薛文瑞), Guo Ya-Nan(郭亚楠), and Zhang Wen-Mei(张文梅)
    Chin. Phys. B, 2010, 19 (1):  017302.  DOI: 10.1088/1674-1056/19/1/017302
    Abstract ( 1586 )   PDF (1470KB) ( 866 )  
    In this paper, two kinds of modified surface plasmonic waveguides formed by nanometric parallel lines are proposed. The finite-difference frequency-domain method is used to study propagation properties of the fundamental mode supported by these surface plasmonic waveguide structures. Results show that the transverse magnetic field of the fundamental mode is mainly distributed in the face to face region formed by two rods. With the same geometrical parameters and the same working wavelength of 632.8 nm, in the case of rods with a triangular cross-section, the degree of localization of field is strong, i.e. the mode area is small, but the fraction of the modal power in the metal increases, so the effective index increases and the propagation length of the mode decreases. With the same geometrical parameters, relative to the case of a working wavelength of 632.8 nm, when working wavelength is large, the mode area of transverse magnetic field distribution is large, i.e. the degree of localization of field is weak, and the interaction of field and silver is weak too, then the effective index decreases, so the propagation length increases. The rounded radii of rods have a great influence on the performance of the surface plasmonic waveguides with rounded triangular cross-sections, but have little influence on the performance of surface plasmonic waveguides with rounded square cross-sections. Since the distribution of transverse magnetic field, effective index, propagation length and the mode area can be adjusted by the geometrical parameters, this kind of modified surface plasmonic waveguide can be applied to the field of photonic device integration and sensors.
    Extraordinary optical transmission through metal gratings with single and double grooved surfaces
    Wang Li-Chun(汪丽春), Deng Li(邓立), Cui Ni(崔妮) Niu Yue-Ping(钮月萍), and Gong Shang-Qing(龚尚庆)
    Chin. Phys. B, 2010, 19 (1):  017303.  DOI: 10.1088/1674-1056/19/1/017303
    Abstract ( 1682 )   PDF (146KB) ( 666 )  
    We investigate the transmission properties of a normally incident TM plane wave through metal films with periodic parabolic-shaped grooves on single and double surfaces using the finite-difference-time-domain method. Nearly zero transmission efficiency is found at wavelengths corresponding to surface plasmon excitation on a flat surface in the case where the single surface is grooved. Meanwhile, resonant excitation of surface plasmon polariton (SPP) Bloch modes leads to a strong transmission peak at slightly larger wavelengths. When the grating is grooved on double surfaces, the transmission enhancement can be dramatically improved due to the resonant tunnelling between SPP Bloch modes.
    Optical properties of conjugated polymer-ZnSe nanocrystal nanocomposites
    Yun Da-Qin(云大钦), Feng Wei(封伟), Wu Hong-Cai(吴洪才), Liu Xiao-Zeng (刘效增), and Qiang Jun-Feng(强军锋)
    Chin. Phys. B, 2010, 19 (1):  017304.  DOI: 10.1088/1674-1056/19/1/017304
    Abstract ( 1573 )   PDF (2915KB) ( 979 )  
    Nanocomposites of poly[(2-methoxy,5-octoxy)1,4-phenylenevinylene]-zinc selenide (MOPPV-ZnSe) are synthesized by mixing the polymerization of 1,4-bis (chloromethyl)-2-methoxy-5-octoxy-benzene in the presence of ZnSe quantum dots. The resulting MOPPV-ZnSe nanocomposites possess a well-defined interfacial contact, thus significantly promoting the dispersion of ZnSe within the MOPPV matrix and facilitating the electronic interaction between these two components. Raman and UV--visible absorption spectra are influenced by the incorporation of ZnSe nanocrystals. High-resolution transmission electron microscopic and tapping-mode atomic force microscopic results show clearly the evidence for phase-segregated networks of ZnSe nanocrystals, which provide a large area of interface for charge separation to occur. Steady-state spectra of MOPPV-ZnSe nanocomposites are markedly quenched by the introduction of intimate polymer/ZnSe junctions. Time-resolved photoluminescence measurements show that the lifetime decays quickly, which further confirms the occurrence of charge transfer in MOPPV-ZnSe nanocomposites.
    Phase field investigation on the initial planar instability with surface tension anisotropy during directional solidification of binary alloys
    Wang Zhi-Jun(王志军), Wang Jin-Cheng(王锦程), and Yang Gen-Cang(杨根仓)
    Chin. Phys. B, 2010, 19 (1):  017305.  DOI: 10.1088/1674-1056/19/1/017305
    Abstract ( 1545 )   PDF (130KB) ( 664 )  
    Phase field investigation reveals that the stability of the planar interface is related to the anisotropic intensity of surface tension and the misorientation of preferred crystallographic orientation with respect to the heat flow direction. The large anisotropic intensity may compete to determine the stability of the planar interface. The destabilizing effect or the stabilizing effect depends on the misorientation. Moreover, the interface morphology of initial instability is also affected by the surface tension anisotropy.
    Effects of SiNx on two-dimensional electron gas and current collapse of AlGaN/GaN high electron mobility transistors
    Ren Fan(任凡), Hao Zhi-Biao(郝智彪), Wang Lei(王磊), Wang Lai(汪莱), Li Hong-Tao (李洪涛), and Luo Yi(罗毅)
    Chin. Phys. B, 2010, 19 (1):  017306.  DOI: 10.1088/1674-1056/19/1/017306
    Abstract ( 1470 )   PDF (694KB) ( 1444 )  
    SiN$_x$ is commonly used as a passivation material for AlGaN/GaN high electron mobility transistors (HEMTs). In this paper, the effects of SiN$_x$ passivation film on both two-dimensional electron gas characteristics and current collapse of AlGaN/GaN HEMTs are investigated. The SiN$_x$ films are deposited by high- and low-frequency plasma-enhanced chemical vapour deposition, and they display different strains on the AlGaN/GaN heterostructure, which can explain the experiment results.
    Effect of surface treatment of GaN based light emitting diode wafers on the leakage current of light emitting diode devices
    Wang Liang-Ji(王良吉), Zhang Shu-Ming(张书明), Zhu Ji-Hong(朱继红), Zhu Jian-Jun(朱建军), Zhao De-Gang(赵德刚), Liu Zong-Shun(刘宗顺), Jiang De-Sheng(江德生), Wang Yu-Tian(王玉田) , and Yang Hui(杨辉)
    Chin. Phys. B, 2010, 19 (1):  017307.  DOI: 10.1088/1674-1056/19/1/017307
    Abstract ( 1561 )   PDF (689KB) ( 1215 )  
    To form low-resistance Ohmic contact to p-type GaN, InGaN/GaN multiple quantum well light emitting diode wafers are treated with boiled aqua regia prior to Ni/Au (5 nm/5 nm) film deposition. The surface morphology of wafers and the current--voltage characteristics of fabricated light emitting diode devices are investigated. It is shown that surface treatment with boiled aqua regia could effectively remove oxide from the surface of the p-GaN layer, and reveal defect-pits whose density is almost the same as the screw dislocation density estimated by x-ray rocking curve measurement. It suggests that the metal atoms of the Ni/Au transparent electrode of light emitting diode devices may diffuse into the p-GaN layer along threading dislocation lines and form additional leakage current channels. Therefore, the surface treatment time with boiled aqua regia should not be too long so as to avoid the increase of threading dislocation-induced leakage current and the degradation of electrical properties of light emitting diodes.
    Orientation-dependent electromagnetic properties of basalt fibre/nickel core--shell heterostructures
    Kang Yu-Qing(康玉清), Cao Mao-Sheng(曹茂盛), Yuan Jie(袁杰), and Fang Xiao-Yong(房晓勇)
    Chin. Phys. B, 2010, 19 (1):  017701.  DOI: 10.1088/1674-1056/19/1/017701
    Abstract ( 1469 )   PDF (806KB) ( 682 )  
    The influence of orientation on electromagnetic properties of basalt fibre/nickel core--shell heterostructures prepared by a simple electroless plating method is investigated. For comparison, the same investigation is also performed on naked basalt fibres. For electromagnetic measurement, the directions of basalt fibre/nickel and naked basalt fibres are parallel, random and perpendicular to the direction of external electric field, termed E||  sample, random sample and E sample, respectively. Electromagnetic anisotropy can be clearly observed in the basalt fibre/nickel core--shell heterostructures, while electromagnetic properties of naked basalt fibres are unrelated to the orientation. The E basalt fibre/nickel shows the highest dielectric loss but the lowest magnetic loss, and E|| basalt fibre/nickel exhibits the highest magnetic loss but the lowest dielectric loss. The dielectric loss of E basalt fibre/nickel is several times as large as that of E|| basalt fibre/nickel, which could be attributed to the increase of polarization relaxation time as a consequence of the nanosize-confinement effect. The magnetic loss of E|| basalt fibre/nickel is even one order of magnitude higher than that of E basalt fibre/nickel, which originates mainly from the natural magnetic resonance of basalt fibre/nickel core--shell heterostructures.
    Temperature-frequency dependence and mechanism of dielectric properties for $\gamma$-Y2Si2O7
    Hou Zhi-Ling(侯志灵), Cao Mao-Sheng(曹茂盛), Yuan Jie(袁杰), and Song Wei-Li(宋维力)
    Chin. Phys. B, 2010, 19 (1):  017702.  DOI: 10.1088/1674-1056/19/1/017702
    Abstract ( 1570 )   PDF (1564KB) ( 783 )  
    This paper reports that single-phase $\gamma$ -Y2Si2O7 is prepared via a sufficient blending and cold-pressed sintering technique from Y2O3 powder and SiO2 nanopowder. It studies the dielectric properties of $\gamma$ -Y2Si2O7 as a function of the temperature and frequency. The $\gamma$ -Y2Si2O7 exhibits low dielectric loss and non-Debye relaxation behaviour from 25 to 1400 ℃ in the range of 7.3--18 GHz. The mechanism for polarization relaxation of the as-prepared $\gamma$ -Y2Si2O7 differing from that of SiO2 is explained. Such particular dielectric properties could potentially make specific attraction for extensive practical applications.
    A novel yellow phosphor for white light emitting diodes
    Wang Zhi-Jun(王志军), Li Pan-Lai(李盼来), Yang Zhi-Ping(杨志平), Guo Qing-Lin(郭庆林), and Li Xu(李旭)
    Chin. Phys. B, 2010, 19 (1):  017801.  DOI: 10.1088/1674-1056/19/1/017801
    Abstract ( 1772 )   PDF (133KB) ( 1442 )  
    This paper reports that a novel yellow phosphor, LiSrBO3:Eu2+, was synthesized by the solid-state reaction. The excitation and emission spectra indicate that this phosphor can be effectively excited by ultraviolet (360 and 400 nm) and blue (425 and 460 nm) light, and exhibits a satisfactory yellow performance (565 nm). The role of concentration of Eu2+ on the emission intensity in LiSrBO3 is studied, and it is found that the critical concentration is 3 mol%, and the concentration self-quenching mechanism is the dipole--dipole interaction according to the Dexter theory. White light emitting diodes were generated by using an InGaN chip (460 nm or 400 nm) with LiSrBO3:Eu2+ phosphor, the CIE chromaticity is (= 0.341, = 0.321) and (= 0.324, = 0.318), respectively. Therefore, LiSrBO3:Eu2+ is a promising yellow phosphor for white light emitting diodes.
    CROSS DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY
    Effects of V/III ratio on species diffusion anisotropy in the MOCVD growth of non-polar a-plane GaN films
    Zhao Lu-Bing(赵璐冰), Yu Tong-Jun(于彤军), Wu Jie-Jun(吴洁君), Yang Zhi-Jian(杨志坚), and Zhang Guo-Yi(张国义)
    Chin. Phys. B, 2010, 19 (1):  018101.  DOI: 10.1088/1674-1056/19/1/018101
    Abstract ( 1195 )   PDF (6968KB) ( 570 )  
    Non-polar a-plane (1$1\bar{2}$0) GaN films have been grown on r-plane (1$\bar{1}$02) sapphire substrates by metal organic chemical vapour deposition. The influences of V/III ratio on the species diffusion anisotropy of a-plane GaN films were investigated by scanning electron microscopy, cathodoluminescence and high-resolution x-ray diffraction measurements. The anisotropy of a-plane GaN films may result from the different migration length of adatoms along two in-plane directions. V/III ratio has an effect on the growth rates of different facets and crystal quality. The stripe feature morphology was obviously observed in the film with a high V/III ratio because of the slow growth rate along the [1$\bar{1}$00] direction. When the V/III ratio increased from 1000 to 6000, the in-plane crystal quality anisotropy was decreased due to the weakened predominance in migration length of gallium adatoms.
    Fabrication and optical properties of MgxZn1-xO thin films
    Zhang Xi-Jian(张锡健), Yuan Hui-Min(袁慧敏), Wang Qing-Pu(王卿璞), Wang Tong(王统), and Ma Hong-Lei(马洪磊)
    Chin. Phys. B, 2010, 19 (1):  018102.  DOI: 10.1088/1674-1056/19/1/018102
    Abstract ( 1196 )   PDF (114KB) ( 456 )  
    Mg$_x$Zn$_{1 - x}$O ($x \le 0.3$) thin films have been prepared on silicon substrates by radio frequency magnetron sputtering at room temperature. The thin films have hexagonal wurtzite single-phase structure and a preferred orientation with the c-axis perpendicular to the substrates. The Mg content in the films is slightly larger than that in the targets. The refractive indices of Mg$_x$Zn$_{1 - x}$O films measured at room temperature by spectroscopic ellipsometry (SE) on the wavelength 632.8 nm are systematically decreased with the increasing of Mg content. Optical band gaps of Mg$_x$Zn$_{1 - x}$O films are determined by the transmittance spectra. With increasing Mg content, the absorption edges of Mg$_x$Zn$_{1 - x}$O films shift to higher energies and band gaps linearly increase from 3.24 eV at $x=0$ to 3.90 eV at $x =0.30$.
    Thickness dependence of surface morphology and charge carrier mobility in organic field-effect transistors Hot!
    Tian Xue-Yan(田雪雁), Xu Zheng(徐征), Zhao Su-Ling(赵谡玲), Zhang Fu-Jun(张福俊), Yuan Guang-Cai(袁广才),Li Jing(李婧), Sun Qin-Jun(孙钦军),Wang Yun(王赟), and Xu Xu-Rong(徐叙瑢)
    Chin. Phys. B, 2010, 19 (1):  018103.  DOI: 10.1088/1674-1056/19/1/018103
    Abstract ( 1520 )   PDF (5000KB) ( 906 )  
    With the aim of understanding the relationships between organic small molecule field-effect transistors (FETs) and organic conjugated polymer FETs, we investigate the thickness dependence of surface morphology and charge carrier mobility in pentacene and regioregular poly (3-hexylthiophene) (RR-P3HT) field-effect transistors. On the basis of the results of surface morphologies and electrical properties, we presume that the charge carrier mobility is largely related to the morphology of the organic active layer. We observe that the change trends of the surface morphologies (average size and average roughness) of pentacene and RR-P3HT thin films are mutually opposite, as the thickness of the organic layer increases. Further, we demonstrate that the change trends of the field-effect mobilities of pentacene and RR-P3HT FETs are also opposite to each other, as the thickness of the organic layer increases within its limit.
    A broadband external cavity tunable InAs/GaAs quantum dot laser by utilizing only the ground state emission
    LÜ Xue-Qin(吕雪芹), Jin Peng(金鹏), and Wang Zhan-Guo(王占国)
    Chin. Phys. B, 2010, 19 (1):  018104.  DOI: 10.1088/1674-1056/19/1/018104
    Abstract ( 1462 )   PDF (111KB) ( 512 )  
    A broadband external cavity tunable laser is realized by using a broad-emitting spectral InAs/GaAs quantum dot (QD) gain device. A tuning range of 69 nm with a central wavelength of 1056 nm, is achieved at a bias of 1.25 kA/cm$^2$ only by utilizing the light emission from the ground state of QDs. This large tunable range only covers the QD ground-state emission and is related to the inhomogeneous size distribution of QDs. No excited state contributes to the tuning bandwidth. The application of the QD gain device to the external cavity tunable laser shows its immense potential in broadening the tuning bandwidth. By the external cavity feedback, the threshold current density can be reduced remarkably compared with the free-running QD gain device.
    Manipulation and control of a single molecular rotor on Au (111) surface Hot!
    Zhang Hai-Gang(张海刚), Mao Jin-Hai(毛金海), Liu Qi(刘奇), Jiang Nan(江楠), Zhou Hai-Tao(周海涛), Guo Hai-Ming(郭海明), Shi Dong-Xia(时东霞), and Gao Hong-Jun(高鸿钧)
    Chin. Phys. B, 2010, 19 (1):  018105.  DOI: 10.1088/1674-1056/19/1/018105
    Abstract ( 1391 )   PDF (5327KB) ( 379 )  
    Three different methods are used to manipulate and control phthalocyanine based single molecular rotors on Au (111) surface: (1) changing the molecular structure to alter the rotation potential; (2) using the tunnelling current of the scanning tunnelling microscope (STM) to change the thermal equilibrium of the molecular rotor; (3) artificial manipulation of the molecular rotor to switch the rotation on or off by an STM tip. Furthermore, a molecular `gear wheel' is successfully achieved with two neighbouring molecules.
    Translocation of closed polymers through a nanopore under an applied external field
    Jiang Shao-Chuan(江绍钏), Zhang Lin-Xi(章林溪), Xia A-Gen(夏阿根), Chen Hong-Ping(陈宏平), and Cheng Jun(成军)
    Chin. Phys. B, 2010, 19 (1):  018106.  DOI: 10.1088/1674-1056/19/1/018106
    Abstract ( 1295 )   PDF (226KB) ( 528 )  
    The dynamic behaviours of the translocations of closed circular polymers and closed knotted polymers through a nanopore, under the driving of an applied field, are studied by three-dimensional Langevin dynamics simulations. The power-law scaling of the translocation time $\tau$  with the chain length N and the distribution of translocation time are investigated separately. For closed circular polymers, a crossover scaling of translocation time with chain length is found to be $\tau \sim N^{\alpha}$, with the exponent α varying from $\alpha =0.71$ for relatively short chains to $\alpha =1.29$ for longer chains under driving force $F=5$. The scaling behaviour for longer chains is in good agreement with experimental results, in which the exponent $\alpha =1.27$ for the translocation of double-strand DNA. The distribution of translocation time $D(\tau)$ is close to a Gaussian function for duration time $\tau <\tau _{\rm p}$ and follows a falling exponential function for duration time $\tau >\tau _{\rm p}$. For closed knotted polymers, the scaling exponent α is 1.27 for small field force ($F=5$) and 1.38 for large field force ($F=10$). The distribution of translocation time $D(\tau)$ remarkably features two peaks appearing in the case of large driving force. The interesting result of multiple peaks can conduce to the understanding of the influence of the number of strands of polymers in the pore at the same time on translocation dynamic process and scaling property.
    Optical and structural properties of Ge-ion-implanted fused silica after annealing in different ambient conditions
    Xiang Xia(向霞), Chen Meng(陈猛), Chen Mei-Yan(陈美艳), Zu Xiao-Tao(祖小涛),Zhu Sha(朱莎), and Wang Lu-Min(王鲁闽)
    Chin. Phys. B, 2010, 19 (1):  018107.  DOI: 10.1088/1674-1056/19/1/018107
    Abstract ( 1313 )   PDF (3620KB) ( 702 )  
    Ge$^+$  ions are implanted into fused silica glass at room temperature and a fluence of $1× 10^{17}$ cm$^{- 2}$. The as-implanted samples are annealed in O2, N2 and Ar atmospheres separately. Ge$^0$, GeO and GeO2 coexist in the as-implanted and annealed samples. Annealing in different atmospheres at 600 $^\circ$C leads each composite to change its content. After annealing at 1000  $^\circ$C, there remains some amount of Ge$^0$ in the substrates. However, the content of Ge decreases due to out-diffusion. After annealing in N2, Si--N composite is formed. The absorption peak of GeO appears at 240 nm after annealing in O2 atmosphere, and a new absorption peak occurs at 418 nm after annealing in N2 atmosphere, which is attributed to the Si--N composite. There is no absorption peak appearing after annealing in Ar atmosphere. Transmission electron microscopic images confirm the formation of Ge nanoparticles in the as-implanted sample and GeO2 nanoparticles in the annealed sample. In the present study, the GeO content and the GeO2 content depend on annealing temperature and atmosphere. Three photoluminescence emission band peaks at 290, 385 and 415 nm appear after ion implantation and they become strong with the increase of annealing temperature below 700  $^\circ$C, and their photoluminescences recover to the values of as-grown samples after annealing at 700  $^\circ$C. Optical absorption and photoluminescence depend on the annealing temperature and atmosphere.
    Calculation of time-varying equivalent inductance and resistance of helical flux compression generators using the 2D filamentary method and dynamic matrix concept in the frequency domain
    M. H. Khanzade, Y. Alinejad-Beromi, and A. Shoulaie
    Chin. Phys. B, 2010, 19 (1):  018601.  DOI: 10.1088/1674-1056/19/1/018601
    Abstract ( 1324 )   PDF (1074KB) ( 1057 )  
    In this paper we present an approach to calculate the time-varying equivalent inductance and resistance of helical flux compression generators accurately. This approach is based on the 2D filamentary method and uses the dynamic matrix concept. By using this method, it is possible to consider both the effects of the armature presence and frequency on the inductance and resistance of the HFCGs. The latter effect has not been discussed in previous open literature. The validation of the presented method has been verified by measurement results.
    A novel approach to designing cylindrical-surface shim coils for a superconducting magnet of magnetic resonance imaging
    Liu Wen-Tao(刘文韬), Zu Dong-Lin(俎栋林), and Tang Xin(唐昕)
    Chin. Phys. B, 2010, 19 (1):  018701.  DOI: 10.1088/1674-1056/19/1/018701
    Abstract ( 1269 )   PDF (1311KB) ( 1220 )  
    For a superconducting magnet of magnetic resonance imaging (MRI), the novel approach presented in this paper allows the design of cylindrical gradient and shim coils of finite length. The method is based on identification of the weighting of harmonic components in the current distribution that will generate a magnetic field whose z-component follows a chosen spherical harmonic function. Mathematical expressions which relate the harmonic terms in the cylindrical current distribution to spherical harmonic terms in the field expansion are established. Thus a simple matrix inversion approach can be used to design a shim coil of any order pure harmonic. The expressions providing a spherical harmonic decomposition of the field components produced by a particular cylindrical current distribution are novel. A stream function was applied to obtain the discrete wire distribution on the cylindrical-surface. This method does not require the setting of the target-field points. The discussion referring to matrix equations in terms of condition numbers proves that this novel approach has no ill-conditioned problems. The results also indicate that it can be used to design cylindrical-surface shim coils of finite length that will generate a field variation which follows a particular spherical harmonic over a reasonably large-sized volume.
    GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS
    Scaling of the flowfield in a combustion chamber with a gas--gas injector
    Wang Xiao-Wei(汪小卫), Cai Guo-Biao(蔡国飙), and Jin Ping(金平)
    Chin. Phys. B, 2010, 19 (1):  019401.  DOI: 10.1088/1674-1056/19/1/019401
    Abstract ( 1873 )   PDF (600KB) ( 973 )  
    The scaling of the flowfield in a gas--gas combustion chamber is investigated theoretically, numerically and experimentally. To obtain the scaling criterion of the gas--gas combustion flowfield, formulation analysis of the three-dimensional (3D) Navier--Stokes equations for a gaseous multi-component mixing reaction flow is conducted and dimensional analysis on the gas--gas combustion phenomena is also carried out. The criterion implies that the size and the pressure of the gas--gas combustion chamber can be changed. Based on the criterion, multi-element injector chambers with different geometric sizes and at different chamber pressures ranging from 3 MPa to 20 MPa are numerically simulated. A multi-element injector chamber is designed and hot-fire tested at five chamber pressures from 1.64 MPa to 3.68 MPa. Wall temperature measurements are used to understand the similarity of combustion flowfields in the tests. The results have verified the similarities between combustion flowfields under different chamber pressures and geometries, with the criterion applied.
    Generation of an isolated sub-100 attosecond pulse in the water-window spectral region
    Zou Pu(邹璞), Li Ru-Xin(李儒新), Zeng Zhi-Nan(曾志男), Xiong Hui(熊辉), Liu Peng(刘鹏), Leng Yu-Xin(冷雨欣), Fan Pin-Zhong(范品忠), and Xu Zhi-Zhan(徐至展)
    Chin. Phys. B, 2010, 19 (1):  019501.  DOI: 10.1088/1674-1056/19/1/019501
    Abstract ( 1492 )   PDF (714KB) ( 774 )  
    We propose a scheme to generate isolated attosecond pulses in the water-window spectral region. Based on the numerical solutions of the single active electron model, we investigate high-order harmonic generation in helium atoms driven by a multi-cycle two-colour optical field synthesized by an intense 2000 nm, 20 fs pulse and its frequency-doubled pulse. When the latter is slightly detuned and properly phase shifted with respect to the fundamental laser pulse, an ultra-broad extreme ultraviolet supercontinuum with a spectral width of 130 eV can be generated in the 270--400 eV spectral regions. A supercontinuum from 280--340 eV in the water window can be selected to yield an isolated 67 attosecond pulse without employing any phase compensation. This water window coherent x-ray pulse with less than 100 attosecond duration is a potential tool for studying the ultrafast electronic dynamics of biological samples in water.
    Reconstructing dark energy potentials from parameterized deceleration parameters
    Wang Yu-Ting(王钰婷), Xu Li-Xin(徐立昕), Lü Jian-Bo(吕剑波), and Gui Yuan-Xing(桂元星)
    Chin. Phys. B, 2010, 19 (1):  019801.  DOI: 10.1088/1674-1056/19/1/019801
    Abstract ( 1410 )   PDF (244KB) ( 484 )  
    In this paper, the properties of dark energy are investigated according to the parameterized deceleration parameter $q(z)$, which is used to describe the extent of the accelerating expansion of the universe. The potential of dark energy $V(\phi)$ and the cosmological parameters, such as the dimensionless energy density $\varOmega_{\phi}$, $\varOmega_m$, and the state parameter $w_{\phi}$, are connected to it. Concretely, by giving two kinds of parameterized deceleration parameters $q(z)=a+bz/(1+z)$ and $q(z)=1/2+(az+b)/(1+z)^2$, the evolution of these parameters and the reconstructed potentials $V(\phi)$ are plotted and analysed. It is found that the potentials run away with the evolution of universe.
    New agegraphic dark energy as a rolling tachyon
    Cui Jing-Lei(崔晶磊),Zhang Li(张莉), Zhang Jing-Fei(张敬飞), and Zhang Xin(张鑫)
    Chin. Phys. B, 2010, 19 (1):  019802.  DOI: 10.1088/1674-1056/19/1/019802
    Abstract ( 1723 )   PDF (318KB) ( 668 )  
    Combining the general relativity and the uncertainty relation in quantum mechanics, the energy density of quantum fluctuations of space-time can be viewed as dark energy. The so-called agegraphic dark energy model is just based on this viewpoint, in which the age of the universe is introduced as the length measure. Recently, the new agegraphic dark energy model was proposed, where the dynamical dark energy is measured by the conformal age of the universe. On the other hand, scalar-field dark energy models like tachyons are often regarded as an effective description of some underlying theory of dark energy. In this paper, we show that the new agegraphic dark energy can be described completely by a tachyon scalar-field. We thus reconstruct the potential and the dynamics of the tachyon scalar-field, according to the evolution of the new agegraphic dark energy.
    A cosmological model with negative energy photons
    Qin Yi-Ping(覃一平)
    Chin. Phys. B, 2010, 19 (1):  019803.  DOI: 10.1088/1674-1056/19/1/019803
    Abstract ( 1447 )   PDF (108KB) ( 488 )  
    According to recent investigations of states of quantum fields, we postulate that there exist negative energy photons in the universe. With this assumption, we find a solution of Einstein's equation without introducing the cosmological constant. A new and sizable type Ia supernovae sample is employed to perform a fit with our model and the conventional model. Both models can well account for the current type Ia supernovae observation and they are not distinguishable. With the new model, the cause of the accelerated expansion of the universe and the mechanism of the negative pressure existing in outer space can be explained in ordinary physical terms.
ISSN 1674-1056   CN 11-5639/O4
, Vol. 19, No. 1

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