J Opt Soc Am A Opt Image Sci Vis. 2023 May 1;40(5):816-823. doi: 10.1364/JOSAA.485533.
A purely analytical extension of flattened Gaussian beams [Opt. Commun.107, 335 (1994)OPCOB80030-401810.1016/0030-4018(94)90342-5] to any values of beam order is here proposed. Due to it, the paraxial propagation problem of axially symmetric, coherent flat-top beams through arbitrary ABCD optical systems can definitely be solved in closed form via a particular bivariate confluent hypergeometric function.
本文提出了一种将扁平化高斯光束进行纯分析扩展的方法[Opt. Commun.107, 335 (1994)OPCOB80030-401810.1016/0030-4018(94)90342-5]，适用于任何光束阶数。由于这个方法，轴对称、相干平顶光束在任意 ABCD 光学系统中的傍轴传输问题可以通过一个特殊的二元合流超几何函数得到封闭解。
