"Analytical Continuation'' of Flattened Gaussian Beams
arXiv:2301.04481 · doi:10.1364/JOSAA.485533
Abstract
A purely analytical extension of the flattened Gaussian beams [Opt. Commun. \textbf{107,} 335 (1994)] to any values of the beam order, is here proposed. Due to it, the paraxial propagation problem of axially symmetric, coherent flat-top beams through arbitrary optical systems can definitely be solved in closed form via a particular bivariate confluent hypergeometric function.