This article is cited in 4 papers

PHYSICS

Kummer–Gaussian scalar astigmatic three-dimensional light beams

S. S. Girgel

F. Scorina Gomel State University, Gomel

Abstract: The formalism for the description of paraxial $3D$ Gaussian-like light Kummer–Gaussian beams by a simple astigmatism is offered. Conditions of their physical realizability are formulated. New types of Kummer–Gaussian beams are found. Such beams are presented by Gaussian product on Kummer function of a complex argument and a nonnegative integer index $n$.

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

UDC: 535.42+537.86.22

Received: 07.12.2012