Please wait a minute...
Chin. Phys. B, 2008, Vol. 17(7): 2544-2552    DOI: 10.1088/1674-1056/17/7/034
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

Effective permittivity and permeability of one-dimensional dielectric photonic crystal within a band gap

Guo Ji-Yong(郭继勇), Chen Hong(陈鸿), Li Hong-Qiang(李宏强), and Zhang Ye-Wen(张冶文)
Pohl Institute of Solid State Physics, Tongji University, Shanghai 200092, China
Abstract  We take a finite dielectric photonic crystal as a homogeneous slab and have extracted the effective parameters. Our systematic study shows that the effective permittivity or permeability of dielectric photonic crystal is negative within a band gap region. This means that the band gap might act as $\varepsilon$-negative materials (ENMs) with $\varepsilon <0$ and $\mu >0$, or $\mu$-negative materials (MNMs) with $\varepsilon >0$ and $\mu <0$. Moreover the effective parameters sensitively rely on size, surface termination, symmetry, etc. The effective parameters can be used to design full transmission tunnelling modes and amplify evanescent wave. Several cases are studied and the results show that dielectric photonic band gap can indeed mimic a single negative material (ENM or MNM) under some restrictions.
Keywords:  photonic crystal      negative permittivity      negative permeability  
Received:  15 January 2008      Revised:  24 January 2008      Accepted manuscript online: 
PACS:  77.22.Ch (Permittivity (dielectric function))  
  42.70.Qs (Photonic bandgap materials)  
  77.84.-s (Dielectric, piezoelectric, ferroelectric, and antiferroelectric materials)  
  78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))  
Fund: Project supported by the National Key Basic Research Special Foundation of China (Grant No 2006CB921701), the National Natural Science Foundation of China (Grant Nos 10474072, 10634050 and 50477048) and the Shanghai Science and Technology Committee of China (Grant No 07DZ22302).

Cite this article: 

Guo Ji-Yong(郭继勇), Chen Hong(陈鸿), Li Hong-Qiang(李宏强), and Zhang Ye-Wen(张冶文) Effective permittivity and permeability of one-dimensional dielectric photonic crystal within a band gap 2008 Chin. Phys. B 17 2544

[1] Nonreciprocal wide-angle bidirectional absorber based on one-dimensional magnetized gyromagnetic photonic crystals
You-Ming Liu(刘又铭), Yuan-Kun Shi(史源坤), Ban-Fei Wan(万宝飞), Dan Zhang(张丹), and Hai-Feng Zhang(章海锋). Chin. Phys. B, 2023, 32(4): 044203.
[2] A 3-5 μm broadband YBCO high-temperature superconducting photonic crystal
Gang Liu(刘刚), Yuanhang Li(李远航), Baonan Jia(贾宝楠), Yongpan Gao(高永潘), Lihong Han(韩利红), Pengfei Lu(芦鹏飞), and Haizhi Song(宋海智). Chin. Phys. B, 2023, 32(3): 034213.
[3] Multi-band polarization switch based on magnetic fluid filled dual-core photonic crystal fiber
Lianzhen Zhang(张连震), Xuedian Zhang(张学典), Xiantong Yu(俞宪同), Xuejing Liu(刘学静), Jun Zhou(周军), Min Chang(常敏), Na Yang(杨娜), and Jia Du(杜嘉). Chin. Phys. B, 2023, 32(2): 024205.
[4] Method of measuring one-dimensional photonic crystal period-structure-film thickness based on Bloch surface wave enhanced Goos-Hänchen shift
Yao-Pu Lang(郎垚璞), Qing-Gang Liu(刘庆纲), Qi Wang(王奇), Xing-Lin Zhou(周兴林), and Guang-Yi Jia(贾光一). Chin. Phys. B, 2023, 32(1): 017802.
[5] High sensitivity dual core photonic crystal fiber sensor for simultaneous detection of two samples
Pibin Bing(邴丕彬), Guifang Wu(武桂芳), Qing Liu(刘庆), Zhongyang Li(李忠洋),Lian Tan(谭联), Hongtao Zhang(张红涛), and Jianquan Yao(姚建铨). Chin. Phys. B, 2022, 31(8): 084208.
[6] Dual-channel tunable near-infrared absorption enhancement with graphene induced by coupled modes of topological interface states
Zeng-Ping Su(苏增平), Tong-Tong Wei(魏彤彤), and Yue-Ke Wang(王跃科). Chin. Phys. B, 2022, 31(8): 087804.
[7] Generation of mid-infrared supercontinuum by designing circular photonic crystal fiber
Ying Huang(黄颖), Hua Yang(杨华), and Yucheng Mao(毛雨澄). Chin. Phys. B, 2022, 31(5): 054211.
[8] Design of a polarization splitter for an ultra-broadband dual-core photonic crystal fiber
Yongtao Li(李永涛), Jiesong Deng(邓洁松), Zhen Yang(阳圳), Hui Zou(邹辉), and Yuzhou Ma(马玉周). Chin. Phys. B, 2022, 31(5): 054215.
[9] High sensitivity plasmonic temperature sensor based on a side-polished photonic crystal fiber
Zhigang Gao(高治刚), Xili Jing(井西利), Yundong Liu(刘云东), Hailiang Chen(陈海良), and Shuguang Li(李曙光). Chin. Phys. B, 2022, 31(2): 024207.
[10] Topological photonic states in gyromagnetic photonic crystals: Physics, properties, and applications
Jianfeng Chen(陈剑锋) and Zhi-Yuan Li(李志远). Chin. Phys. B, 2022, 31(11): 114207.
[11] Bound states in the continuum in metal—dielectric photonic crystal with a birefringent defect
Hongzhen Tang(唐宏珍), Peng Hu(胡鹏), Da-Jian Cui(崔大健), Hong Xiang(向红), and Dezhuan Han(韩德专). Chin. Phys. B, 2022, 31(10): 104209.
[12] Momentum-space polarization fields in two-dimensional photonic-crystal slabs: Physics and applications
Wen-Zhe Liu(刘文哲), Lei Shi(石磊), Che-Ting Chan(陈子亭), and Jian Zi(资剑). Chin. Phys. B, 2022, 31(10): 104211.
[13] Mid-infrared supercontinuum and optical frequency comb generations in a multimode tellurite photonic crystal fiber
Xu Han(韩旭), Ying Han(韩颖), Chao Mei(梅超), Jing-Zhao Guan(管景昭), Yan Wang(王彦), Lin Gong(龚琳), Jin-Hui Yuan(苑金辉), and Chong-Xiu Yu(余重秀). Chin. Phys. B, 2021, 30(9): 094207.
[14] Dynamic modulation in graphene-integrated silicon photonic crystal nanocavity
Long-Pan Wang(汪陇盼), Cheng Ren(任承), De-Zhong Cao(曹德忠), Rui-Jun Lan(兰瑞君), and Feng Kang(康凤). Chin. Phys. B, 2021, 30(6): 064209.
[15] Generation of wideband tunable femtosecond laser based on nonlinear propagation of power-scaled mode-locked femtosecond laser pulses in photonic crystal fiber
Zhiguo Lv(吕志国) and Hao Teng(滕浩). Chin. Phys. B, 2021, 30(4): 044209.
No Suggested Reading articles found!