强非局域介质中的二维自相似孤子波  

Two-Dimensional Self-Similar Soliton Waves in Highly Nonlocal Media

作　　者：陈粟宋[1] 

机构地区：[1]顺德学院电子工程系,广东顺德528300

出　　处：《光学学报》2009年第6期1653-1658,共6页Acta Optica Sinica

摘　　要：利用自相似方法研究了强非局域介质中的二维孤子波,得到了强非局域薛定谔方程的精确自相似解,该解可以用惠克斯函数来描述。研究表明,在该种介质中存在孤子群,以自相似的方式传输,通过选择光孤子参数,高阶光孤子可以存在不同的形式,如高斯光孤子族、涡旋光孤子族、对称性单层光孤子族和多层光孤子族、不对称单层光孤子族和多层光孤子族。通过数值模拟,进一步证明孤子群在传输过程中的稳定性。The propagation of two-dimensional （2D） spatial soliton waves in highly nonlocal media is investigated analytically by using self-similar mothod. A broad class of exact self-similar solutions to the highly nonlocal SchrSdinger equation is obtained, and it can be described by Whittaker function in highly nonlocal media. The results demonstrate that there exist soliton waves, propagating in a self-similar manner. The higher-order spatial soliton waves can exist in various forms, such as 2D Gaussian soliton family, vortex-ring soliton family, multipole soliton family and defects soliton family by choosing optical soliton parameters. The stability of these soliton clusters in propagation is confirmed by direct numerical simulation.

关 键 词：非线性光学 空间光孤子 自相似方法 

分 类 号：O437[机械工程—光学工程]