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一种产生平顶光束的新方法:厄米-高斯光束的合成
引用本文:吴平,庄建,吕百达.一种产生平顶光束的新方法:厄米-高斯光束的合成[J].中国激光,2004,31(1):8-52.
作者姓名:吴平  庄建  吕百达
作者单位:1. 西南交通大学应用物理系,四川,成都,610031
2. 西南交通大学应用物理系,四川,成都,610031;四川大学激光物理与化学研究所,四川,成都,610064;华中科技大学激光技术国家重点实验室,湖北,武汉,430074
基金项目:西南交通大学校科学研究基金,国家高技术光束控制重点实验室基金资助项目
摘    要:提出了用多束厄米-高斯光束相干合成产生平顶光束的方法。借助Wigner分布函数和强度矩方法推导出在普遍情况下合成光束M^2因子和K参数的解析公式。研究结果表明,通过适当选取厄米-高斯光束的参数,在某一传输平面可以得到平顶的光强剖面。给出了数值计算例以说明合成平顶光束的特性。

关 键 词:几何光学  平顶光束  光束合成  Wigner分布函数  强度矩  厄米-高斯光束
收稿时间:2002/6/4

A New Method for Producing Flat-topped Beams:Hermite-Gaussian Beam Combination
WU Ping ,ZHUANG Jian ,Lu Bai-da , Dept. of Applied Physics,Southwest Jiaotong University,Chengdu,Sichuan ,China Institute of Laser Physics & Chemistry,Sichuan University,Chengdu,Sichuan ,China State Key Laboratory of Laser Technology,Huazhong University of Science & Technology,Wuhan,Hubei ,China.A New Method for Producing Flat-topped Beams:Hermite-Gaussian Beam Combination[J].Chinese Journal of Lasers,2004,31(1):8-52.
Authors:WU Ping  ZHUANG Jian  Lu Bai-da    Dept of Applied Physics  Southwest Jiaotong University  Chengdu  Sichuan  China Institute of Laser Physics & Chemistry  Sichuan University  Chengdu  Sichuan  China State Key Laboratory of Laser Technology  Huazhong University of Science & Technology  Wuhan  Hubei  China
Affiliation:WU Ping 1,ZHUANG Jian 1,Lu Bai-da 1,2,3 1Dept. of Applied Physics,Southwest Jiaotong University,Chengdu,Sichuan 610031,China 2Institute of Laser Physics & Chemistry,Sichuan University,Chengdu,Sichuan 610064,China 3State Key Laboratory of Laser Technology,Huazhong University of Science & Technology,Wuhan,Hubei 430074,China
Abstract:The coherent combination of multi-Hermite-Gaussian beams is proposed to describe the flat-topped beams. Based on the Wigner distribution function and intensity moments methods, the analytical equations of beam propagation factor (M 2 factor) and kurtosis parameter (K parameter) of the resulting beam are derived in the general case. It is shown that a flat-topped intensity profile of the resulting beam can be obtained at a certain plane by an appropriate choice of the parameters of Hermite-Gaussian beams. Numerical examples are given to illustrate properties of the resulting beam.
Keywords:geometrical optics  flat-topped beam  beam combination  Wigner distribution function  intensity moment
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