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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 471, Pages 7–14 (Mi znsl6621)  
This article is cited in 2 scientific papers (total in 2 papers)

The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)

V. M. Babich

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (145 kB) Citations (2)
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Abstract: The Maxwell equations for nonhomogeneous media is considered. The formula (in the first approximation ) for non-stationary point source of waves is found. The Fourier transform by $t$ of this expression leads to short wave asymptotic formula for wave field of high frequency point source of electromagnetic oscillations. The large parameter is the frequency.
Key words and phrases: Hadamard's ansatz, point source, Maxwell's equations.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00529
Received: 02.07.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 5, Pages 634–639
DOI: https://doi.org/10.1007/s10958-019-04565-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. M. Babich, “The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)”, Mathematical problems in the theory of wave propagation. Part 48, Zap. Nauchn. Sem. POMI, 471, POMI, St. Petersburg, 2018, 7–14; J. Math. Sci. (N. Y.), 243:5 (2019), 634–639
Citation in format AMSBIB
\Bibitem{Bab18}
\by V.~M.~Babich
\paper The point-source of electromagnetic waves in the case of nonhomogeneous media (high-frequency ansatz and dual to him singular solution)
\inbook Mathematical problems in the theory of wave propagation. Part~48
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 471
\pages 7--14
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6621}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 5
\pages 634--639
\crossref{https://doi.org/10.1007/s10958-019-04565-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075220313}
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    • 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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