光诱导准一维光子晶格中离散空间光孤子的相互作用

肖发俊; 张鹏; 刘圣; 赵建林

doi:10.7498/aps.61.134207

摘要

基于分步束传播法数值分析了离散空间光孤子在准一维光诱导光子晶格中的相干与非相干相互作用过程. 结果表明: 对于相干孤子, 同相时相互吸引, 反相时相互排斥. 然而, 由于非线性响应的各向异性, 横向排布的非相干孤子会因间隔波导数目的增加而由相互吸引变为相互排斥. 并且, 沿对角方向排布的两个非相干孤子在孤子相互作用力和布拉格反射的共同影响下, 会呈现出"钟摆式"振荡传输现象. 研究结果有助于进一步理解非线性各向异性对离散孤子相互作用的影响机制, 并为后续实验研究提供理论参考.

关键词:

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:

作者及机构信息

1.
西北工业大学理学院, 陕西省光信息技术重点实验室, 空间应用物理与化学教育部重点实验室, 西安 710072

基金项目: 西北工业大学基础研究基金(批准号: JC200950) 和博士论文创新基金(批准号: CX200514, CX200914) 资助的课题.

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).

参考文献

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[29]	Zhang P, Liu S, Lou C, Xiao F, Wang X, Zhao J, Xu J, Chen Z 2010 Phys. Rev. A 81 041801(R)
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[31]	Xiao F J, Zhang P, Liu S, Gan X, Zhao J 2010 Chin. Phys. B 19 044208
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施引文献

[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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