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

PFMT, 2019 Issue 1(38), Pages 16–20 (Mi pfmt616)

This article is cited in 3 papers

PHYSICS

Circular $3D$ Kummer–Gauss beams with the continuous angular index

S. S. Girgel

F. Scorina Gomel State University

Abstract: Analytical expressions in the closed shape for circular $3D$ Kummer–Gauss beams $(cK-G)$ with the continuous angular coefficient $m$ are offered and analyzed. Physical restrictions on possible values of the free parameters of such beams are formulated. Pictorial modeling of beams $(cK-G)$ is fulfilled and shown that the continuous values of an angular coefficient $m$ and complex values of the free parameter $\nu$ are physically possible.

Keywords: paraxial beams, circular beams, Kummer–Gaussian beams.

UDC: 535.42

Received: 27.09.2018



© Steklov Math. Inst. of RAS, 2026