激光扩束器离焦量的多元函数极值解法  

Multivariate Function Extreme Value Based Calculations of the Defocused Amount of Expending Telescope

作　　者：高磊 鸥家鸣 王瑞杰[3] 

机构地区：[1]呈贡县一中,云南呈贡650500 [2]云南师范大学物理与电子信息技术学院,云南昆明650092 [3]云南农业大学工程技术学院,云南昆明650201

出　　处：《云南师范大学学报（自然科学版）》2009年第3期38-42,共5页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(19774046)

摘　　要：基模高斯光束通过离焦激光扩束器的离焦量,可以用拉格朗日待定乘数法、厚透镜等效变换法和分段计算法等多种方法进行求解[1][3],但上述几种求解方法均较为繁琐。文章在对拉格朗日待定乘数法进行理论分析之后证明,求解基模高斯光束通过离焦激光扩束器的离焦量不属于条件极值问题,并给出了求解上述问题的一种简单的新方法--多元函数极值法。There are several methods that can be used to calculate defocused amount as a fundamental mode Gaussian beam passes through a expending telescope, such as Lagrange method of undetermined multiplicator, equivalent transformation of thick lens, separating segments calculation, and so on. However, these methods are generally very complex. In this paper we will first prove that the defocused amount of expending telescope is not belonging to conditional extremum on the basis of theoretic analysis on Lagrange method of undetermined muhiplicator. Then we will present a new calculation method, multivariate function extreme value based method, to determine the defocused amount.

关 键 词：激光 扩束器 离焦量 多元函数极值解法 

分 类 号：O437[机械工程—光学工程]