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
Approximate close-form expression for Gaussian beams passing through an ABCD optical system with hard-edge aperture
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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。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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Key words:
- gaussian beam /
- hard-edge aperture /
- abcd optical system /
- propagation expression
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