| 平顶光束K参数的解析传输方程 |
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| 引用本文： | 康小平, 吕百达. 平顶光束K参数的解析传输方程[J]. 强激光与粒子束, 2005, 17(06). |
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| 作者姓名： | 康小平 吕百达 |
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| 作者单位： | 1.四川大学 激光物理与化学研究所, 四川 成都 61 0064;;;2.琼州大学 物理系, 海南 五指山 572200 |
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| 摘 要： | 从Li提出的平顶光束模型和Collins公式出发，推导出平顶光束通过近轴ABCD光学系统K参数的解析传输公式。平顶光束的K参数与光束阶数M、瑞利长度zR和传输矩阵元A/B有关。另一方面，基于强度矩的传输方程，通过繁冗的积分，也推导出K参数的解析传输方程。大量数值计算结果证明二者所得结果相同。对平顶光束K参数的传输特性用数值计算例作了说明。
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| 关 键 词： | 激光光学 平顶光束 K参数 传输方程 强度矩 Collins公式 |
Analytical propagation expressions for kurtosis parameter of flat-topped beams |
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| kang xiao-ping, lv bai-da. Analytical propagation expressions for kurtosis parameter of flat-topped beams[J]. High Power Laser and Particle Beams, 2005, 17. |
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| Authors: | kang xiao-ping lv bai-da |
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| Affiliation: | 1. Institute of Laser Physics and Chemistry,Sichuan University,Chengdu 610064,China;;;2. Department of Physics,Qiongzhou University,Wuzhishan 572200,China |
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| Abstract: | From the flat-topped beam model proposed recently by Li and the Collins formula, an analytical propagation expression for the kurtosis parameter (K parameter) of flat-topped beams through a paraxial ABCD system is derived. The K parameter depends on the beam order, Rayleigh length and ratio A/B of transfer matrix elements. Based on the propagation equation of intensity moments, a closed-form propagation equation of the K parameter is deduced. The two expressions are shown to be numerically equivalent. The propagation properties of the K parameter of flat-topped beams are illustrated with the caculated results. |
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| Keywords: | laser optics flat-topped beam kurtosis parameter (k parameter) propagation equation intensity moment collins formula |
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