摘要
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透镜聚焦系统进行了数值计算 ,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。
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.
出处
《光学学报》
EI
CAS
CSCD
北大核心
2001年第10期1214-1218,共5页
Acta Optica Sinica
基金
激光技术国家重点实验室 (2 0 0 0 0 0 0 9)
西南交通大学科学研究基金资助课题
