Elegant Laguerre-Gauss beams as a new tool for describing axisymmetric flattened Gaussian beams.
A new superposition scheme for representing flattened Gaussian (FG) beams is proposed. Such a representation, unlike the original proposed by Gori [Opt. Commun. 107, 335 (1994)], is based on an expansion in terms of the so-called elegant Laguerre-Gaussian beams. This new representation allows us to obtain the closed-form expression of a FG beam of any order propagating through a paraxial ABCD optical system by means of a simple recurrence rule, which turns out to be particularly stable even when it is applied to FG beams of very high orders (> 10(4)).
Borghi
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Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre, Rome, Italy. borghir@uniroma1.it