S. S. Girgel, “Solutions of the wave equation in parabolic rotary coordinates. I. 3D Kummer–Kummer light beams with the continuous angular index”, PFMT, 2020, no. 3(44), 13

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2020, Issue 3(44), Pages 13–17 (Mi pfmt721)

This article is cited in 2 scientific papers (total in 2 papers)

PHYSICS

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

S. S. Girgel

F. Scorina Gomel State University

Full-text PDF (328 kB) Citations (2)

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Abstract: Analytical expressions in the closed form for nonparaxial and paraxial 3D Kummer–Kummer (K-K) beams with continuous angular index $m$ in parabolic rotary coordinates are offered and analyzed. Physical restrictions on possible values of the free parameters of such beams are formulated.

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

Received: 24.06.2020

Document Type: Article

UDC: 535.42

Language: Russian

Citation: S. S. Girgel, “Solutions of the wave equation in parabolic rotary coordinates. I. 3D Kummer–Kummer light beams with the continuous angular index”, PFMT, 2020, no. 3(44), 13–17

Citation in format AMSBIB

\Bibitem{Gir20}

\by S.~S.~Girgel

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

\jour PFMT

\yr 2020

\issue 3(44)

\pages 13--17

\mathnet{http://mi.mathnet.ru/pfmt721}

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https://www.mathnet.ru/eng/pfmt721

https://www.mathnet.ru/eng/pfmt/y2020/i3/p13

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 2 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:	81
Full-text PDF :	75
References:	25

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