部分相干修正贝塞尔-高斯光束通过光阑的传输

为了对部分相干修正贝塞尔-高斯光束通过有硬边光阑近轴ABCD光学系统的传输进行研究,采用将硬边光阑窗口函数展开为有限个复高斯函数之和的方法,得到了近似的解析传输公式.以部分相干修正贝塞尔-高斯光束在有光阑情况下自由空间的传输为例作了数值计算,对所得解析公式的计算误差和适用范围进行了讨论.结果表明,用该方法可快速、解析地研究部分相干修正贝塞尔-高斯光束通过圆孔光阑自由空间的传输特性,分析菲涅耳数、截断参数对其光束经光阑后光强分布的影响.

Propagation of partially coherent modified Bessel-Gaussian beams passing through an aperture

In order to study the propagation of partially coherent modified Bessel-Gaussian beams passing through a paraxial ABCD optical system with hard-edge aperture, the approximate analytical propagation equation was derived with the hard-edged aperture function expanded into a finite sum of complex Gaussian functions. As an application example, numerical calculation was performed for partially coherent modified Bessel-Gaussian beams propagating in free space with hard-edge aperture, and the computation errors and application ranges of those analytical equations were discussed. The results show that the method provides the advantage of reduction of computing time and analyzing the propagation property of partially coherent modified Bessel-Gaussian beams through the circular aperture optical systems. The influence of Fressnel number and the truncation parameter on the intensity distributions was also analyzed.