厄米-高斯光束在热非局域介质中传输的数值模拟研究  

Numerical study of Hermite-Gaussian beams in nonlocal thermal media

作　　者：李少华[1] 杨振军[1] 陆大全[1] 胡巍[1] 

机构地区：[1]华南师范大学信息光子技术广东省高校重点实验室,广州510631

出　　处：《物理学报》2011年第2期332-341,共10页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10674050;10804033);教育部高等学校博士点专项科研基金(批准号:200805740002);广东省高等学校科技创新团队计划(批准号:06CXTD005)资助的课题~~

摘　　要：基于非线性薛定谔方程和热扩散的泊松方程,采用分步傅里叶算法以及多重网格法对厄米-高斯光束在不同形状的热非局域介质铅玻璃中的传输进行了数值模拟研究.结果表明,低阶厄米-高斯光束可以较为稳定地在铅玻璃中传输.高阶厄米-高斯光束在铅玻璃中传输变得不稳定,并且阶数越高,稳定性越差.样品的形状对于厄米-高斯光束的影响很大.在正方形样品中,厄米-高斯光束的传输与Snyder-Mitchell模型符合得相对较好.在矩形样品中厄米-高斯光束在传输过程中的强度分布将发生较大的变化.Based on the nonlocal nonlinear Schrdinger equation and Poisson equation of thermal diffusion,using the slip-step Fourier algorithm and multi-grid method,we numerically investigated the propagation properties of Hermite-Guassian beams in the nonlocal thermal media. The results show that low-order Hermite-Gaussian beams can propagate stably,in contrast with the unstable propagation of high-order Hermite-Gaussian beams. The worse the stability is,the higher the order is. The effect of the boundary of the sample with different cross sections on the propagation properties of Hermite-Guassian beam is also discussed in detail. We found that propagation properties in square geometry are in agreement with those in Snyder-Mitchell model. However,in rectangular sample,the evolution of intensity distribution of Hermite-Gaussian beams differs seriously from that in the square sample.

关 键 词：非局域非线性介质 厄米-高斯光束 光束传输 

分 类 号：O437[机械工程—光学工程]