Discrete soliton interaction in quasi one-dimensional optically induced photonic lattice

Xiao Fa-Jun; Zhang Peng; Liu Sheng; Zhao Jian-Lin

doi:10.7498/aps.61.134207

Abstract

The coherent and the incoherent interactions of discreet solitons in quasi one-dimensional optically induced photonic lattice are theoretically and numerically analyzed. It is found that in-phase solitons attract each other and out-of-phase solitons repel one other. Due to the anisotropy of the nonlinearity, two initially attractive incoherent solitons will repel each other as their interval waveguide number increasing. Moreover, the pendulum-like intertwist of discrete solitons is observed during the incoherent interaction due to the interplay between soliton transverse motions resulting from the soliton interaction and the Bragg reflection of the lattice structure. These results help us to understand how the anisotropy of the nonlinearity response plays a role in discrete soliton interaction and offers the theoretical support for the experimental investigation.

Keywords:

Authors and contacts

1.
Shaanxi Key Laboratory of Optical Information Technology, School of Science, Northwestern Polytechnical University, Xi' an 710072, China;
Funds: Project supported by the Northwestern Polytechnical University (NPU) Foundation for Fundamental Research (Grant No. JC200950) and the Doctorate Foundation of NPU (Grant Nos. CX200514, CX200914).

References

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Cited By

[1]	Efremidis N K, Sears S, Christodoulides D N, Fleischer J W, Segev M 2002 Phys. Rev. E 66 046602
[2]	Fleischer J W, Carmon T, Segev M, Efremidis N K, Christodoulides D N 2003 Phys. Rev. Lett. 90 023902
[3]	Fleischer J W, Segev M, Efremidis N K, Christodoulides D N 2003 Nature 422 147
[4]	Neshev D, Ostrovskaya E, Kivshar Y, Królikowski W 2003 Opt. Lett. 28 710
[5]	Martin H, Eugenieva E D, Chen Z, Christodoulides D N 2004 Phys. Rev. Lett. 92 123902
[6]	Zhang P, Zhao J, Xiao F, Lou C, Xu J, Chen Z 2008 Opt. Express 16 3865
[7]	Mandelik D, Eisenberg H S, Silberberg Y, Morandotti R, Aitchison J S 2003 Phys. Rev. Lett. 90 053902
[8]	Liu S, Zhang P, Xiao F, Yang D, Zhao J 2009 Sci. China Ser. G 52 747 [刘圣, 张鹏, 肖发俊, 杨德兴, 赵建林 2009 中国科学G辑 39 349]
[9]	Zhang P, Lou C, Liu S, Zhao J, Xu J, Chen Z 2010 Opt. Lett. 35 892
[10]	Zhang P, Liu S, Lou C, Xiao F, Wang X, Zhao J, Xu J, Chen Z 2010 Phys. Rev. A 81 041801(R)
[11]	Trompeter H, Królikowski W, Neshev D N, Desyatnikov A S, Sukhorukov A A, Kivshar Y S, Pertsch T, Peschel U, Lederer F 2006 Phys. Rev. Lett. 96 053903
[12]	Schwartz T, Bartal G, Fishman S, Segev M 2007 Nature 446 52
[13]	Zhang P, Liu S, Zhao J, Lou C, Xu J, Chen Z 2008 Opt. Lett. 33 878
[14]	Hu Y, Lou C, Liu S, Zhang Peng, Zhao J, Xu J, Chen Z 2009 Opt. Lett. 34 1114
[15]	Eisenberg H S, Silberberg Y, Morandotti R, Aitchison J S 2000 Phys. Rev. Lett. 85 1863
[16]	Meier J, Stegeman G I, Silberberg Y, Morandotti R, Aitchison J S 2004 Phys. Rev. Lett. 93 093903
[17]	Meier J, Stegeman G I, Christodoulides D N, Silberberg Y, Morandotti R, Yang H, Salamo G, Sorel M, Aitchison J S 2005 Opt. Lett. 30 1027
[18]	Smirnov E, Stepić M, Rüter C E, Shandarov V, Kip D 2007 Opt. Lett. 32 512
[19]	Stepić M, Smirnov E, Rüter C E, Prönneke L, Kip D, Shandarov V 2006 Phys. Rev. E 74 046614
[20]	He Y J, Wang H Z 2006 Opt. Express 14 9832
[21]	Xiao F, Zhang P, Liu S, Zhao J 2007 Chin. Phys. Lett. 24 3435
[22]	Xiao F, Zhang P, Liu S, Zhao J 2008 Acta Phys. Sin. 57 2529 [肖发俊, 张鹏, 刘圣, 赵建林 2008 57 2529]
[23]	Liu S, Hu Y, Zhang P, Gan X, Xiao F, Lou C, Song D, Zhao J, Xu J, Chen Z 2011 Opt. Lett. 36 1167
[24]	Christodoulides D N, Eugenieva E D 2001 Phys. Rev. Lett. 87 233901
[25]	Zhao J, Li B, Zhang P, Yang D, Li Z 2004 Acta Phys. Sin. 53 2583 [赵建林, 李碧丽, 张鹏, 杨德兴, 李振伟 2004 53 2583]
[26]	Zhang P, Yang D, Zhao J, Su K, Zhou J, Li B, Yang D 2004 Chin. Phys. Lett. 21 1558
[27]	Zhang P, Zhao J, Lou C, Tan X, Gao Y, Liu Q, Yang D, Xu J, Chen Z 2007 Opt. Express 15 536
[28]	Petviashvili V I 1976 Sov. J. Plasma Phys. 2 257
[29]	Zhang P, Liu S, Lou C, Xiao F, Wang X, Zhao J, Xu J, Chen Z 2010 Phys. Rev. A 81 041801(R)
[30]	Królikowski W, Saffman M, Luther-Davies B, Denz C 1998 Phys. Rev. Lett. 80 3240
[31]	Xiao F J, Zhang P, Liu S, Gan X, Zhao J 2010 Chin. Phys. B 19 044208
[32]	Xiao F J, Zhang P, Liu S, Zhao J 2011 J. Opt. 13 105101

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Vol. 61, Issue 13 - 2012-07-05

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