Abstract

A purely analytical extension of flattened Gaussian beams [Opt. Commun. 107, 335 (1994) [CrossRef]  ] 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 $\textit{ABCD}$ optical systems can definitely be solved in closed form via a particular bivariate confluent hypergeometric function.

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