拉盖尔-高斯光束通过多光阑B=0成像系统传输的计算模拟  

Numerical simulation of the transformation of Laguerre-Gaussian beamsthrough a multi-apertured imaging system of B=0

作　　者：刘雅静[1] 季小玲[1] 

机构地区：[1]四川师范大学物理系,成都610066

出　　处：《激光杂志》2005年第1期55-57,共3页Laser Journal

基　　金：四川省教育厅自然科学基金 (NO .2 0 0 2A0 89)资助。

摘　　要：用复高斯函数展开法及B =0成像矩阵分解的技巧 ,推导出了拉盖尔 -高斯光束通过多光阑B =0光学成像系统和多级空间滤波器解析的近似传输公式。高斯光束的传输可作为我们理论模型的特例给出。数值计算例表明使用我们的解析公式和直接对Collins公式作数值积分的结果基本一致 ,但我们的结果具有快速计算的主要优点 ,因此大为节约了机时。By expanding the aperture function into a finite sum of complex Gaussian functions and using the method of matrix decomposition,the closed-form propagation equations of Laguerre-Gaussian(L-G) beams through a multi-apertured imaging system of B=0 and multiple spatial filters are derived.The propagation of Gaussian beams through such types of optical system can be regarded as a special case in our theortical model.Numerical calculation examples of L-G beams propagation through a multi-apertured imaging system of B=0 and multiple spatial filters by using our formula are given,which are found a consistent with those by straightforward integral of the Collins formula.The main advantage of our method is the fast computation,so that the computing time can be greatly reduced.

关 键 词：复高斯函数展开 矩阵分解 多光阑B=0成像系统 拉盖尔高斯光束 

分 类 号：O435[机械工程—光学工程]