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Chin. Phys. B, 2015, Vol. 24(8): 084210    DOI: 10.1088/1674-1056/24/8/084210
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Evolution of dark solitons in the presence of Ramangain and self-steepening effect

Yu Yu (于宇), Jia Wei-Guo (贾维国), Yan Qing (闫青), Menke Neimule (门克内木乐), Zhang Jun-Ping (张俊萍)
Department of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
Abstract  Based on the equation satisfied by optical pulse that is a slowly varying function, the higher-order nonlinear Schrödinger equation (NLSE) including Raman gain and self-steepening effect is deduced in detail, and a new Raman gain function is defined. By using the split-step Fourier method, the influence of the combined effect between Raman gain and self-steepening on the propagation characteristic of dark solitons is simulated in the isotropic fiber. The results show that gray solitons can be symmetrically formed by high order dark soliton, however self-steepening effect will inhibit the formation mechanism through the phenomenon that gray solitons are produced only in the trailing edge of the central black soliton. Meanwhile, the Raman gain changes the propagation characteristic of optical soliton and inhibits the self-steepening effect, resulting in the broadening of pulse width and the decreasing of pulse offset.
Keywords:  split-step Fourier method      self-steepening effect      dark soliton propagation characteristic  
Received:  14 October 2014      Revised:  20 January 2015      Accepted manuscript online: 
PACS:  42.65.Dr (Stimulated Raman scattering; CARS)  
  42.65.Tg (Optical solitons; nonlinear guided waves)  
  42.65.Re (Ultrafast processes; optical pulse generation and pulse compression)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61167004) and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2014MS0104).
Corresponding Authors:  Jia Wei-Guo     E-mail:  jwg1960@163.com

Cite this article: 

Yu Yu (于宇), Jia Wei-Guo (贾维国), Yan Qing (闫青), Menke Neimule (门克内木乐), Zhang Jun-Ping (张俊萍) Evolution of dark solitons in the presence of Ramangain and self-steepening effect 2015 Chin. Phys. B 24 084210

[1] Foursa D and Emplit P 1996 Phys. Rev. Lett. 77 4011
[2] Emplit P, Hamaide J P, Reynaud F, Froehly C and Barthelemy A 1987 Opt. Commun. 62 374
[3] Femandes D E and Silveirinha M G 2014 Photomics and Nanostructures 12 340
[4] Kamchatnov A M and Kormeev S V 2010 Phys. Lett. A 374 4625
[5] Li Q Y, Li Z D and Li L 2010 Opt. Commun. 283 3361
[6] He J R and Yi L 2014 Phys. Lett. A 378 1085
[7] Kanna T, Mareeswaran R B and Sakkaravarthi K 2014 Phys. Lett. A 378 158
[8] Kivshar Y S and Luther-Davies B 1998 Phys. Rep. 298 81
[9] Frantzeskakis D J 2010 J. Phys. A: Math. Theor. 43 213001
[10] Agrawal G P 2013 Nonlinear Fiber Optics, 5nd edn. (Boston: Academic Press)
[11] Mollenauer L F and Gordon J P 2007 Solitons in Optical Fibers (Boston: Academic Press)
[12] Li M, Tian B and Liu W J 2010 Phys. Rev. E 81 046606
[13] Govindaraji A, Mahalingam A and Uthayakumar A 2014 Optik 125 4135
[14] Sarma A K 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 3215
[15] Mishra M and Konar S 2008 Progress in Electromagnetics Research 78 301
[16] Zhong X Q, Tang T T and Xiang A P 2011 Opt. Commun. 284 4727
[17] Deng Y B, Peng S J and Wang J X 2013 J. Math. Phys. 54 011504
[18] Zhao W and Bourkoff E 1989 Opt. Lett. 14 703
[19] Fang W H, Li Z W and Sun C L 2012 Chin. Phys. B 21 034211
[20] Yu Y, Jia W G, Yan Q, Menke Neimule and Zhang J P 2015 Acta Phys. Sin. 64 054207 (in Chinese)
[21] Meng F, Yu Z X and Deng Y Y 2012 Chin. Phys. B 21 044202
[22] Qiao H L, Jia W G, Wang X D, Liu B L, Menke Neimule, Yang J and Zhang J P 2014 Acta Phys. Sin. 63 094208 (in Chinese)
[23] Liu Y, Xu Y and Bai Z X 2013 Chin. Phys. Lett. 30 084202
[24] Jia W G, Qiao L R and Wang X Y 2012 Acta Phys. Sin. 61 094215 (in Chinese)
[25] Qiao H L, Jia W G and Liu B L 2013 Acta Phys. Sin. 62 104212 (in Chinese)
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