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| 激光扩束器离焦量的多元函数极值解法 | |
| 引用本文： | 高磊,鸥家鸣,王瑞杰.激光扩束器离焦量的多元函数极值解法[J].云南师范大学学报(自然科学版),2009,29(3):38-42. |
| 作者姓名： | 高磊 鸥家鸣 王瑞杰 |
| 作者单位： | 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 |
| 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，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。 |
| 关 键 词： | 激光 扩束器 离焦量 多元函数极值解法 |
Multivariate Function Extreme Value Based Calculations of the Defocused Amount of Expending Telescope |
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| GAO Lei,OU Jia-ming,WANG Rui-jie.Multivariate Function Extreme Value Based Calculations of the Defocused Amount of Expending Telescope[J].Journal of Yunnan Normal University (Natural Sciences Edition),2009,29(3):38-42. | |
| Authors: | GAO Lei OU Jia-ming WANG Rui-jie |
| Institution: | GAO Lei,OU Jia - ming, WANG Rui - jie ( 1. College of Physics and electronic information, Yunnan Normal University, Yunnan, Kunming 650092 ; 2. College of Engineering technology, Yunnan Agriculture university, Yunnan, Kunming 650201 ) |
| Abstract: | 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. |
| Keywords: | Laser Expending telescope Defocused amount Muhivariate function extreme value method |
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