受光阑限制厄米-余弦-高斯光束的解析传输公式

Propagation expressions for apertured Hermite-cosine-Gaussian beams

从Collins公式出发 ,推导出了厄米 余弦 高斯光束通过有硬边光阑近轴ABCD光学系统传输的递推公式。由递推公式 ,借助迭代算法 ,得出受光阑限制的任意阶厄米 余弦 高斯光束的解析传输公式。数值计算例证实了解析传输公式的正确性和优点。

Starting from the Collins formula,a recurrence equation of Hermite-cosine-Gaussian (HCG) beams propagating through a paraxial ABCD system with a hard-edge aperture is derived,from which the propagation expressions for apertured HCG beams of any order can be derived by means of the recursive algorithm. The validity and advantage of our results are confirmed and illustrated by numerical calculations.