红外与激光工程, 2005, 34 (3): 301, 网络出版: 2006-05-25
硬边衍射光束的计算模拟
Numerical simulation of hard-edged diffracted beams
硬边衍射光束 传输公式 递推算法 复高斯函数展开 矩阵表示法 Hard-edged diffracted beams Propagation equation Recurrence algorithm Complex Gaussian function expansion Matrix representation
摘要
在激光的产生和传输过程中或多或少地要受到光阑的限制.因此,光束通过有硬边光阑限制光学系统传输问题的研究有重要实际意义.为此,已发展了多种模拟方法.一般情况下,对Collins公式直接数值积分是一种精确的模拟方法.但当光阑数增加时,计算变得非常繁琐和费时.使用四种简明方法,即解析公式法、递推算法、复高斯函数展开法和矩阵表示法来模拟硬边衍射光束,对这些方法的优点和使用范围作了分析,讨论了方法的改进.
Abstract
In the production and propagation of lasers there are more or less limiting apertures. There- fore, the beam propagation through hard-edged apertured optical systems is of practical importance, and a variety of simulation methods have been developed. As usual, the direct numerical integration of the Collins formula provides an exact simulation method, but it becomes very cumbersome and time consumi-ng as the number of apertures increases. In this paper four concise methods, i.e., the analytical propa- gation equation, recurrence algorithm, complex Gaussian function expansion and matrix representation have been used to simulate hard-edged diffracted beams. Their advantages and applicable range are analyzed and some improvements are discussed.
吕百达, 季小玲, 陶向阳, 赵光普, 肖希. 硬边衍射光束的计算模拟[J]. 红外与激光工程, 2005, 34(3): 301. 吕百达, 季小玲, 陶向阳, 赵光普, 肖希. Numerical simulation of hard-edged diffracted beams[J]. Infrared and Laser Engineering, 2005, 34(3): 301.