余弦高斯光束通过硬边光阑的解析传输公式

从Collins公式出发,对余弦高斯光束通过有光阑限制的一阶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光束迭加的技巧,推导出了普适的场分布的解析公式。作为应用例,对余弦高斯光束通过有硬边光阑的薄透镜聚焦系统进行了数值计算,计算结果表明,作者的结果与直接由Collins公式衍射积分所得结果一致。数值计算证明,用该方法能节约大量机时,并可推广到其它光束通过硬边光阑光学系统的传输研究。

Propagation expression for cosine-Gaussian beams through a hard edge aperture

Based on Collins integral formula,the propagation of cosine Gaussian beams passing through a first order paraxial optical system with rectangular aperture is studied.With the rectangular function converted to a sum of complex Gaussian functions,a closed form propagation expression for Gaussian beams is derived.Take a thin lens system with hard edge aperture as an example,numerical calculation is performed.The computation result conforms to that obtained by the straightforward integration of Collins formula.The principal advantage of the method is the great reduction of computing time.The method can also be applied to the propagation of other types of laser beams passing an optical system with a hard edge aperture.