"Analytical Continuation'' of Flattened Gaussian Beams
Abstract
A purely analytical extension of the flattened Gaussian beams [Opt. Commun. 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 ABCD optical systems can definitely be solved in closed form via a particular bivariate confluent hypergeometric function.
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