This article is cited in 6 papers

PHYSICS

Physical properties of scalar 2D beams of Kummer – Gauss

S. S. Girgel

F Skorina Gomel State University, Gomel

Abstract: The unified formalism allowing to deduce common expressions for paraxial two-dimensional Gaussian-like light Kummer – Gaussian beams and discover correlations between them is developed. Сonditions of their physical realizability are explored in details. New types of Kummer – Gaussian beams are discovered. Such beams are presented as Gaussian product on Kummer function of complex argument and a $n$ integer index.

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

UDC: 535.42+537.86

Received: 17.11.2011