S. S. Girgel, “Solutions of the wave equation in parabolic rotary coordinates. II. 3D Tricomi–Kummer light beams and other beams with the continuous angular index”, PFMT, 2020, no. 4(45), 20

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2020, Issue 4(45), Pages 20–24 (Mi pfmt738)

This article is cited in 1 scientific paper (total 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

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Abstract: Analytical expressions in the closed form for nonparaxial and paraxial 3D Tricomi–Kummer (Т–К) 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.

Received: 25.06.2020

Document Type: Article

UDC: 535.42

Language: Russian

Citation: S. S. Girgel, “Solutions of the wave equation in parabolic rotary coordinates. II. 3D Tricomi–Kummer light beams and other beams with the continuous angular index”, PFMT, 2020, no. 4(45), 20–24

Citation in format AMSBIB

\Bibitem{Gir20}

\by S.~S.~Girgel

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

\jour PFMT

\yr 2020

\issue 4(45)

\pages 20--24

\mathnet{http://mi.mathnet.ru/pfmt738}

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https://www.mathnet.ru/eng/pfmt738

https://www.mathnet.ru/eng/pfmt/y2020/i4/p20

Cycle of papers

Solutions of the wave equation in parabolic rotary coordinates. I. 3D Kummer–Kummer light beams with the continuous angular index
S. S. Girgel
PFMT, 2020:3(44), 13–17
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
PFMT, 2020:4(45), 20–24
Solutions of the wave equation in parabolic rotary coordinates. III. Spatiotemporal wave packets of Kummer–Kummer and Tricomi–Kummer with the continuous angular index
S. S. Girgel
PFMT, 2021:1(46), 13–18

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	92
Full-text PDF :	43
References:	25

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