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厄米-双曲余弦-高斯光束在有光阑光学系统中的传输
Propagation of Hermite-Cosh-Gaussian Beams Passing Through an Aperture Optical System
【摘要】 从Collins公式出发,对厄米-双曲余弦-高斯(HChG)光束通过有硬边光阑限制的近轴ABCD光学系统的传输进行了研究.采用将矩形函数展开为有限个复高斯函数之和的方法,推导出了光场分布的解析表达式.给出了数值计算结果,并与直接对Collins公式作数值积分的结果进行了比较,充分显示此解析方法不仅便于物理分析,而且可节约大量机时.
【Abstract】 Based on the Collins integral formula, the propagation of Hermite-Cosh-Gaussian(HChG) beams passing through paraxial ABCD optical system with a hard-edge aperture is studied. With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived. Numerical results are given and compared with those derived by the straightforward integral of the Collins formula, which shows the advantage of improving the calculation efficiency.
【关键词】 厄米-双曲余弦-高斯光束;
复高斯函数;
硬边光阑;
近轴ABCD光学系统;
【Key words】 Hermite-Cosh-Gaussian beams; complex Gaussian function; hard-edge aperture; paraxial ABCD optical system;
【Key words】 Hermite-Cosh-Gaussian beams; complex Gaussian function; hard-edge aperture; paraxial ABCD optical system;
- 【文献出处】 江西师范大学学报(自然科学版) ,Journal of Jiangxi Normal University (Natural Sciences Edition) , 编辑部邮箱 ,2005年01期
- 【分类号】O437
- 【被引频次】1
- 【下载频次】121