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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2010 Issue 1(2), Pages 7–11 (Mi pfmt151)

This article is cited in 10 papers

PHYSICS

Scalar paraxial two-dimensional Gaussian-like light beams

S. S. Girgel

F.  Skorina Gomel State University, Gomel

Abstract: The unified formalism which allows to deduce expressions for paraxial two-dimensional Gaussian-like light Kummer-Gaussian beams and Helmholtz-Gaussian beams is offered. This formalism also allows to discover correlations between them. Simple conditions of their physical realizability are formulated. New types of Kummer-Gaussian beams are discovered. Such beams are presented by the Gaussian product on the function Kummer of the complex argument and nonnegative integer index $n$.

Keywords: paraxial beams, Hermite-Gaussian beams, Kummer-Gaussian beams, Helmholtz-Gaussian beams, Gaussian-like beams.

UDC: 535.42+537.86.22

Received: 12.02.2010



© Steklov Math. Inst. of RAS, 2026