椭圆响应强非局域非线性介质中的二维异步分数傅里叶变换及光束传输特性  

Two-dimensional asynchronous fractional Fourier transform and propagation properties of beams in strongly nonlocal nonlinear medium with an elliptically symmetric response

作　　者：陆大全[1] 胡巍[1] 

机构地区：[1]华南师范大学信息光电子科技学院,广东省微纳光子功能材料与器件重点实验室,广州510631

出　　处：《物理学报》2013年第8期213-219,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10804033;11174090;11174091);高等学校博士学科点专项科研基金(批准号:200805740002)资助的课题~~

摘　　要：研究了椭圆响应强非局域非线性介质中的光束传输问题.结果表明:任意光束在这类介质中传输时均遵守二维异步分数傅里叶变换的传输规律.基于二维异步分数傅里叶变换这一数学工具,可很方便地对光束的传输进行解析求解并分析其性质.利用二维异步分数傅里叶变换的性质,讨论了一般光束的传输性质;分析了孤子和二维异步呼吸子的形成条件;得出了孤子/呼吸子的相互作用规律.Propagation of beams in strongly nonlocal nonlinear medium with an elliptically symmetric response is investigated. The result shows that the propagation of beams in this type of medium can be regarded as two-dimensional asynchronous fractional Fourier transform. With this powerful mathematical tool, the analytical solution and the propagation properties of beams can be conveniently obtained. Based on the properties of the two-dimensional asynchronous fractional Fourier transform, the general propagation properties of beams are discussed, the formation conditions of solitons and two-dimensional asynchronous breathers are analyzed, and the law for interaction among solitons and/or breathers is obtained.

关 键 词：椭圆响应 强非局域非线性 孤子 呼吸子 

分 类 号：O437[机械工程—光学工程]