| 高斯光束通过有硬边光阑ABCD光学系统的近似解析传输公式 |
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| 引用本文： | 王喜庆, 梁国栋, 吕百达. 高斯光束通过有硬边光阑ABCD光学系统的近似解析传输公式[J]. 强激光与粒子束, 2001, 13(04). |
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| 作者姓名： | 王喜庆 梁国栋 吕百达 |
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| 作者单位： | 1.西南交通大学应用物理系,四川 成都 61 0031 ;;;2.河北师范大学职业技术学院,河北 石家庄 050031 ;;;3.四川大学激光物理与激光化学研究所,四川 成都 61 0064 |
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| 摘 要： | 对高斯光束通过有硬边光阑近轴ABCD光学系统的传输进行了研究，采用将矩形函数展开为复高斯函数的技巧，推导出了近似的解析传输公式。以高斯光束在有光阑情况下自由空间的传输为例进行了数值计算，对所用方法能节约大量机时的优点和计算误差作了讨论，并进一步推广用于平面波和平顶高斯光束，证实了这一方法具有广泛的应用意义。
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| 关 键 词： | 高斯光束 硬边光阑 ABCD光学系统 传输公式 |
Approximate close-form expression for Gaussian beams passing through an ABCD optical system with hard-edge aperture |
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| wang xi-qing, liang guo-dong, lü bai-da. Approximate close-form expression for Gaussian beams passing through an ABCD optical system with hard-edge aperture[J]. High Power Laser and Particle Beams, 2001, 13. |
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| Authors: | wang xi-qing liang guo-dong lü bai-da |
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| Affiliation: | 1. Department of Applied Physics,Southwest Jiaotong University,Chengdu 610031,China;;;2. Professional Technique College,Hebei Normal University,Shijiazhuang 050031,China;;;3. Institute of Laser Physics and Laser Chemistry,Sichuan University,Chengdu 610064,China |
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| Abstract: | The propagation of Gaussian beams through a paraxial ABCD optical system with hard-edge aperture is studied. In the treatment the rectangular function is expanded into a sum of complex Gaussian functions, thus the approximate analytical propagation expression can be derived. As an application example, numerical calculations are performed for Gaussian beams propagating in free space with hard-edge aperture. The advantage of greatly reducing the computing time and computation errors are discussed. Further extension to plan waves and flattened Gaussian beams is made to confirm the wide applicability of this method. |
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| Keywords: | gaussian beam hard-edge aperture abcd optical system propagation expression |
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