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

PFMT, 2020 Issue 4(45), Pages 20–24 (Mi pfmt738)

This article is cited in 1 paper

PHYSICS

Solutions of the wave equation in parabolic rotary coordinates. II. 3D Tricomi–Kummer light beams and other beams with the continuous angular index

S. S. Girgel

F. Scorina Gomel State University

Abstract: Analytical expressions in the closed form for nonparaxial and paraxial 3D Tricomi–Kummer (Ò–Ê) beams and other beams with continuous angular index m in parabolic rotary coordinates are offered and analyzed. Physical restrictions on possible values of free parameters of such beams are formulated. It is shown, that paraxial beams without Gaussian can transfer finite power.

Keywords: nonparaxial beams, paraxial beams, parabolic beams, Tricomi–Kummer beams.

UDC: 535.42

Received: 25.06.2020



© Steklov Math. Inst. of RAS, 2026