双曲余弦高斯光束通过有光阑限制的ABCD光学系统的传输

对双曲余弦高斯光束通过有硬边光阑的一阶ABCD光学系统的传输进行了研究，采用将矩形域函数表示为复高斯函数叠加的技巧，推导出了解析的传输公式，在特殊情况下，该公式简化为在无光阑情况下的传输公式，对双曲余弦高斯光束通过有光阑限制的薄膜镜聚焦进行了数值计算，计算结果与直接由柯林斯（Collins)公式所得结果一致，且此解析方法便于进行物理分析，可节约大量机时。

Propagation of Cosh-Gaussion Beams Through an Apertured ABCD Optical System

The propagation of cosh Gaussian beams through a first order paraxial optical system with rectanglar hard aperture is studied. By using the expansion of the rectangle function into a finite sum of complex Gaussian functions a closed form propagation equation of cosh Gaussian beams is derived. As a special case, the propagation equation of unapertured cosh Gaussian beams is derived. Numerical calculation examples are given for the focusing of cosh Gaussian beams by an aperture lens. A comparison is made, which has shown the advantage of this method and the results are in good agreement with those obtained by the straight forward integration of Collins formula.