| 拉盖尔-高斯截断级数展开法的应用 |
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| 引用本文： | 颜蓉,马善钧,吕百达.拉盖尔-高斯截断级数展开法的应用[J].强激光与粒子束,2006,18(6):931-934. |
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| 作者姓名： | 颜蓉 马善钧 吕百达 |
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| 作者单位： | 1. 江西师范大学 物理与通信电子学院， 南昌 330027；2. 四川大学 激光物理与化学研究所， 成都 610064 |
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| 基金项目： | 江西省自然科学基金资助课题(0212021) |
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| 摘 要： | 用拉盖尔-高斯截断级数模拟了任意半径的圆孔硬边光阑窗口函数,并应用于研究高斯光束和零阶贝塞尔-高斯光束通过硬边光阑的衍射。对高斯光束和零阶贝塞尔-高斯光束的轴向和横向光强分布的计算结果表明：当积分面不是很靠近光阑时，用参数最佳化选取的拉盖尔-高斯截断级数法与用直接数值积分所得结果符合很好。
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| 关 键 词： | 激光光学 拉盖尔-高斯截断级数 硬边光阑衍射 高斯光束 零阶贝塞尔-高斯光束 |
| 文章编号： | 1001-4322(2006)06-0931-04 |
| 收稿时间： | 2006-02-27 |
| 修稿时间： | 2006-04-14 |
Application of Laguerre-Gauss truncated series expansion |
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| YAN Rong,MA Shan-jun,L Bai-da.Application of Laguerre-Gauss truncated series expansion[J].High Power Laser and Particle Beams,2006,18(6):931-934. |
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| Authors: | YAN Rong MA Shan-jun L Bai-da |
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| Institution: | 1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330027, China;2. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China |
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| Abstract: | The window function of circular hard-edge apertures is simulated and optimized by the Laguerre-Gauss truncated series,and applied to study the diffraction of Gaussian beams and 0-order Bessel-Gaussian beams by the hard-edge aperture.The results of the axial and transversal intensity distributions of Gaussian beams and 0-order Bessel-Gaussian beams show that the results by the optimized Laguerre-Gaussian truncated series are in good agreement with those by the Fresnel diffraction integral method if the integration plane is not close to the aperture. |
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| Keywords: | Laser optics Laguerre-Gauss truncated series Diffraction by a hard-edge aperture Gaussian beam Zero-order Bessel-Gaussian beam |
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