English

"Analytical Continuation'' of Flattened Gaussian Beams

Optics 2023-03-22 v2

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 ABCDABCD optical systems can definitely be solved in closed form via a particular bivariate confluent hypergeometric function.

Keywords

Cite

@article{arxiv.2301.04481,
  title  = {"Analytical Continuation'' of Flattened Gaussian Beams},
  author = {Riccardo Borghi},
  journal= {arXiv preprint arXiv:2301.04481},
  year   = {2023}
}