Abstract：This paper established the second order ordinary differential equation of the propagation of the wave at the interface between a linear dielectric and a photorefractive crystal, researched the formation of the photorefractive nonlinear localized surface wave at the interface between linear dielectric and photorefractive medium with the method of numerical simulation and discussed the stability of the propagating of localized surface wave at the boundary. The results of the study show that the guiding parameter and propagation constant have effects on localized surface mode. As the augment of propagation constant. We did study on evolution of the propagation of localized surface wave which we get during researching by using the split step Fourier method; we found that the localized surface wave can propagate stably at the interface between linear dielectric and photorefractive crystal.
[1] She W L, Chan C W, Lee W K. Dark and bright photovoltaic spatial solitons in photorefractive crystals with positive refractive-index perturbation[J]. Opt. Lett, 2001, 26(14): 1093-1095. [2] 齐继伟, 李玉栋, 许京军, 等. 铌酸锂晶体中的磁光折变效应研究[J]. 物理学报, 2007, 56(12): 7015-7022. Qi Jiwei, Li Yudong, Xu Jingjun, et al. Magneto-photorefractive effect in lithium niobate crystals[J]. Acta Phys. Sin., 2007, 56(12): 7015-7022. [3] 侯春风, 李师群, 李斌, 等. 有外加电场的光伏光折变晶体中的非相干耦合亮-暗屏蔽光伏孤子对[J]. 物理学报, 2001, 50(9): 1709-1712. Hou Chunfeng, Li Shiqun, Li Bin, et al. Incoherently coupled bright-dark screening-photovoltaic soliton pairs in biased photovoltaic photorefractive crystals[J]. Acta Phys. Sin., 2001, 50(9): 1709-1712. [4] Wang Xiaosheng, Anna Bezryadina, Chen Zhigang. Observation of two-dimensional surface solitons[J]. Phys. Rev. Lett, 2007, 98(12): 123903. [5] Shi Zuoqiang, Wang Jiandong, Chen Zhigang, et al. Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media[J]. Phys. Rev. A, 2008, 78(6) 063812. [6] Dong Liangwei, Li Huijun. Surface solitons in nonlinear lattices[J]. J. Opt. Soc. Am. B, 2010, 27(6): 1179-1183. [7] Daisy Ron, Fischer Baruch. Light waves at the interface of linear and photorefractive media[J]. J. Opt. Soc. Am. B, 1994, 11(6): 1059-1063. [8] Garcia Quirino G S, Sanchez Mondragon J J, Stepanov S. Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity[J]. Phys Rev A, 1995, 51(2): 1571-1577. [9] Garcia Quirino G S, Sanchez Mondragon J J, Stepanov S I, et al. Guided modes in a dielectric slab with diffusion-type Photorefractive nonlinearity[J]. J. Opt. Soc. Am. B, 1996, 13(11): 2530-2535. [10] Rafael Torres Cordoba, Sánchez Mondragón J J, Vysloukh V A. Propagation of spatial surface waves along the interface of photorefractive crystals[J]. J. Opt. Soc. Am. B, 2001, 18(4): 540-546. [11] Aleshkevich V, Kartashov Y, Egorov A, et al. Stability and formation of localized surface waves at the dielectric-photorefractive crystal boundary[J]. Phys. Rev. E, 2001, 64(5): 056601. [12] Aleshkevich V A, Vysloukh V A, Kartashov Y V. Optical surface waves at the interface between a linear dielectric and a photorefractive crystal[J]. Quantum Electron, 2000, 30(10): 905-910. [13] Zhang Tianhao, Shao Weiwei, Li Kun, et al. TE, TM modes photorefractive surface waves and their coupling[J]. Optics Communications, 2008, 281(5): 1286-1293. [14] 安乐. 打靶法在常微分方程边值问题中的一些应用[J]. 科技广场, 2011, 5: 247-249. An Le. Shooting method in the application of ordinary difference equations boundary value problem[J]. Science Mosaic, 2011, 5: 247-249. [15] Aleshkevich V A, Vysloukh V A, Egorov A A, et al. Formation and stability of optical surface waves at the interface between a metal and a photorefractive crystal with drift and diffusion components of the nonlinear response[J]. Quantum Electron, 2001, 31(8): 713-718. [16] 施娟. 基于对称分步傅里叶算法的光孤子仿真[J]．电子元器件应用, 2008, 10(1): 73-75. Shi Juan. Simulation of optical soliton based on symmetrical split-step fourier method[J]. Electronic Component & Device Applications, 2008, 10(1): 73-75. 作者简介:陈卫军 男, 1988年生, 博士, 研究员, 从事非线性光学、光孤子及光折变表面波研究。卢克清 男, 1956年生, 教授, 博士生导师, 研究方向为非线性光学和光孤子理论。
2013, Vol. 28 
