Please wait a minute...
Chin. Phys. B, 2010, Vol. 19(6): 064212    DOI: 10.1088/1674-1056/19/6/064212

Cross-phase modulation instability in optical fibres with exponential saturable nonlinearity and high-order dispersion

Zhong Xian-Qiong, Xiang An-Ping
College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610225, China
Abstract  Utilizing the linear-stability analysis, this paper analytically investigates and calculates the condition and gain spectra of cross-phase modulation instability in optical fibres in the case of exponential saturable nonlinearity and high-order dispersion. The results show that, the modulation instability characteristics here are similar to those of conventional saturable nonlinearity and Kerr nonlinearity. That is to say, when the fourth-order dispersion has the same sign as that of the second-order one, a new gain spectral region called the second one which is far away from the zero point may appear. The existence of the exponential saturable nonlinearity will make the spectral width as well as the peak gain of every spectral region increase with the input powers before decrease. Namely, for every spectral regime, this may lead to a unique value of peak gain and spectral width for two different input powers. In comparison with the case of conventional saturable nonlinearity, however, when the other parameters are the same, the variations of the spectral width and the peak gain with the input powers will be faster in case of exponential saturable nonlinearity.
Keywords:  exponential saturable nonlinearity      high-order dispersion      nonlinear optics      cross-phase modulation instability  
Received:  16 July 2009      Published:  15 June 2010
PACS:  42.81.Dp (Propagation, scattering, and losses; solitons)  
  42.50.Gy (Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)  
  42.65.Hw (Phase conjugation; photorefractive and Kerr effects)  
Fund: Project supported by the Key Program of the Natural Science Foundation of Sichuan Provincial Education Department (Grant No.~2006A124) and the Fundamental Application Research Project of the Department of Science \& Technology of Sichuan Province (Grant N

Cite this article: 

Zhong Xian-Qiong, Xiang An-Ping Cross-phase modulation instability in optical fibres with exponential saturable nonlinearity and high-order dispersion 2010 Chin. Phys. B 19 064212

[1] Huang J S, Chen H F and Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese)
[2] Zhao X D, Xie Z W and Zhang W P 2007 Acta Phys. Sin. 56 6358 (in Chinese)
[3] Kennedy R E, Popov S V and Taylor 2006 Opt. Lett. 31 167
[4] Demircan A and Bandelow U 2005 Opt. Commun. 244 181
[5] Jia W G and Yang X Y 2005 Acta Phys. Sin. 54 1053 (in Chinese)
[6] Kumar A, Labruyere A and Tchofo Dinda P 2003 Opt. Commun . 219 221
[7] Wen S C, Su W H, Zhang H, Fu X Q, Qian L J and Fan D Y 2003 Chin. Phys. Lett . 20 852
[8] Xu W C, Zhang S M, Chen W C, Luo A P, Guo Q and Liu S H 2002 Chin. Phys . 11 39
[9] Xu W C, Wen S C, Li S H, Guo Q and Liao C J 1997 Chin. Phys. Lett . 14 470
[10] Jia W G, Shi P M, Yang X Y, Zhang J P and Fan G L 2006 Acta Phys. Sin. 55 4575 (in Chinese)
[11] Li Q L, Zhu H D, Tang X H, Li C J, Wang X J and Lin L B 2004 Acta Phys. Sin. 53 4194 (in Chinese)
[12] Li Q L, Zhu H D, Li Y M, Tang X H and Lin L B 2005 Acta Phys. Sin. 54 2686 (in Chinese)
[13] Mirtchev T 1998 J. Opt. Am. B 15 171
[14] Agrawal G P, Baldeck P L and Alfano R R 1989 Phys. Rev. A 39 3406
[15] Agrawal G P 1987 Phys. Rev. Lett . 59 880
[16] Dai X Y, Wen S C and Xiang Y J 2008 Acta Phys. Sin. 57 186 (in Chinese)
[17] Li Q L, Sun L L, Chen J L, Li Q S, Tang X H, Qian S and Lin L B 2007 Acta Phys. Sin. 56 805 (in Chinese)
[18] Feng M, Wei Q, Shi J L and Xue Y 2004 Acta Phys. Sin. 53 1088 (in Chinese)
[19] Lu K Q, Zhao W, Yang Y L, Zhu X P, Li J P and Yan P 2004 Chin. Phys . 13 2077
[20] Wen S C and Fan D Y 2001 Chin. Phys . 10 1032
[21] Zhang B Z, Cui H and She W L 2009 Chin. Phys . B 18 209
[22] Wu K, Wu J, Xu H and Zeng H P 2005 Acta Phys. Sin. 54 3749 (in Chinese)
[23] Lyra M L and Gouveia-Neto A S 1994 Opt. Commun. 108 117
[24] Adib B, Heidari A and Tayyari S F 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 2034
[25] Zhu S D 2007 Chaos, Solitons and Fractals 34 1608
[26] Ndzana F II, Mohamadou A and Kofané T C 2007 Opt. Commun. 275 421
[27] Hong W P 2002 Opt. Commun. \textbf{ 213 173
[28] Zhong X Q, Xiang A P, Cai Q and Luo L 2006 Chin. J. Laser 33 1200 (in Chinese)
[29] Zhong X Q, Chen J G and Li D Y 2005 Chin. J. Laser 32 1035 (in Chinese)
[30] Dalt N D, Angelis C D, Nalesso G F and Santagiustina M 1995 Opt. Commun. 121 69
[31] Hickmann J M, Cavalcanti S B, Borges N M, Gouveia E A and Gouveia-Neto A S 1993 Opt. Lett. 18 182
[32] Zhong X Q and Xiang A P 2009 Chin. J. Laser 36 391 (in Chinese)
[33] Zhong X Q and Xiang A P 2007 Opt. Fiber Technol. 13 271
[34] Ren Z J, Wang H, Jin H Z, Ying C F, Jin W M and Wan X 2005 Acta Opt. Sin . 25 165 (in Chinese)
[1] A concise review of Rydberg atom based quantum computation and quantum simulation
Xiaoling Wu(吴晓凌), Xinhui Liang(梁昕晖), Yaoqi Tian(田曜齐), Fan Yang(杨帆), Cheng Chen(陈丞), Yong-Chun Liu(刘永椿), Meng Khoon Tey(郑盟锟), and Li You(尤力). Chin. Phys. B, 2021, 30(2): 020305.
[2] Recent advances in generation of terahertz vortex beams andtheir applications
Honggeng Wang(王弘耿), Qiying Song(宋其迎), Yi Cai(蔡懿), Qinggang Lin(林庆钢), Xiaowei Lu(陆小微), Huangcheng Shangguan(上官煌城), Yuexia Ai(艾月霞), Shixiang Xu(徐世祥). Chin. Phys. B, 2020, 29(9): 097404.
[3] Light slowing and all-optical time division multiplexing of hybrid four-wave mixing signal in nitrogen-vacancy center
Ruimin Wang(王瑞敏), Irfan Ahmed, Faizan Raza, Changbiao Li(李昌彪), Yanpeng Zhang(张彦鹏). Chin. Phys. B, 2020, 29(5): 054204.
[4] Research progress of femtosecond surface plasmon polariton
Yulong Wang(王玉龙), Bo Zhao(赵波), Changjun Min(闵长俊), Yuquan Zhang(张聿全), Jianjun Yang(杨建军), Chunlei Guo(郭春雷), Xiaocong Yuan(袁小聪). Chin. Phys. B, 2020, 29(2): 027302.
[5] Numerical investigation on coherent mid-infrared supercontinuum generation in chalcogenide PCFs with near-zero flattened all-normal dispersion profiles
Jie Han(韩杰), Sheng-Dong Chang(常圣东), Yan-Jia Lyu(吕彦佳), Yong Liu(刘永). Chin. Phys. B, 2019, 28(10): 104204.
[6] Enhancement and control of the Goos-Hänchen shift bynonlinear surface plasmon resonance in graphene
Qi You(游琪), Leyong Jiang(蒋乐勇), Xiaoyu Dai(戴小玉), Yuanjiang Xiang(项元江). Chin. Phys. B, 2018, 27(9): 094211.
[7] Research progress of third-order optical nonlinearity of chalcogenide glasses
Xiao-Yu Zhang(张潇予), Fei-Fei Chen(陈飞飞), Xiang-Hua Zhang(章向华), Wei Ji(季伟). Chin. Phys. B, 2018, 27(8): 084208.
[8] Modulation and mechanism of ultrafast transient spectroscopy based on dimethylamino-carbaldehyde derivatives
Tong-xing Jin(金桐兴), Jun-yi Yang(杨俊义), Yu Fang(方宇), Yan-bing Han(韩艳兵), Ying-lin Song(宋瑛林). Chin. Phys. B, 2018, 27(5): 054208.
[9] Nonlinear spectral cleaning effect in cross-polarized wave generation
Linpeng Yu(於林鹏), Yi Xu(许毅), Fenxiang Wu(吴分翔), Xiaojun Yang(杨晓骏), Zongxin Zhang(张宗昕), Yuanfeng Wu(吴圆峰), Yuxin Leng(冷雨欣), Zhizhan Xu(徐至展). Chin. Phys. B, 2018, 27(5): 054214.
[10] Spatiotemporal evolution of continuous-wave field and dark soliton formation in a microcavity with normal dispersion
Xiaohong Hu(胡晓鸿), Wei Zhang(张伟), Yuanshan Liu(刘元山), Ye Feng(冯野), Wenfu Zhang(张文富), Leiran Wang(王擂然), Yishan Wang(王屹山), Wei Zhao(赵卫). Chin. Phys. B, 2017, 26(7): 074216.
[11] Numerical investigation on broadband mid-infrared supercontinuum generation in chalcogenide suspended-core fibers
Kundong Mo(莫坤东), Bo Zhai(翟波), Jianfeng Li(李剑峰), E Coscelli, F Poli, A Cucinotta, S Selleri, Chen Wei(韦晨), Yong Liu(刘永). Chin. Phys. B, 2017, 26(5): 054216.
[12] Parallel generation of 31 tripartite entangled states based on optical frequency combs
Jing Zhang(张静), Yan-Fang Wang(王艳芳), Xiao-Yu Liu(刘晓宇), Rong-Guo Yang(杨荣国). Chin. Phys. B, 2017, 26(12): 124205.
[13] Theoretical analysis of the electromagnetic field inside an anomalous-dispersion microresonator under synthetical pump
Xin Xu(徐昕), Xiaohong Hu(胡晓鸿), Ye Feng(冯野), Yuanshan Liu(刘元山), Wei Zhang(张伟), Zhi Yang(杨直), Wei Zhao(赵卫), Yishan Wang(王屹山). Chin. Phys. B, 2016, 25(3): 034208.
[14] Hydrostatic pressure and temperature effects on the binding energy and optical absorption of a multilayered quantum dot with a parabolic confinement
Sami Ortakaya, Muharrem Kirak. Chin. Phys. B, 2016, 25(12): 127302.
[15] Generation of femtosecond laser pulses at 396 nm in K3B6O10Cl crystal
Ning-Hua Zhang(张宁华), Hao Teng(滕浩), Hang-Dong Huang(黄杭东), Wen-Long Tian(田文龙), Jiang-Feng Zhu(朱江峰), Hong-Ping Wu(吴红萍), Shi-Lie Pan(潘世烈), Shao-Bo Fang(方少波), Zhi-Yi Wei(魏志义). Chin. Phys. B, 2016, 25(12): 124204.
No Suggested Reading articles found!