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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 438, Pages 36–45 (Mi znsl6182)  
This article is cited in 2 scientific papers (total in 3 papers)

An interference head wave (Buldyrev's wave) and localization principle

V. M. Babicha, A. A. Matskovskiyb

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (292 kB) Citations (3)
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Abstract: In the series of articles V. S. Buldyrev was considering interference head waves. We will call these waves as Buldyrev waves. Our main goal is to obtain formulas describing Buldyrev's wave using localization principle. Similar formulas were deduced (from another but also heuristic considerations) by V. S. Buldyrev earlier. Different point of view on a Buldyrev's wave was proposed by V. M. Babich. Some formulas for the waves of this class contain an illusory contradiction with concept of localization. We demonstrate that the contradiction is fictitious and formulas deduced by V. S. Buldyrev and results obtained later agree with localization principle.
Key words and phrases: diffraction, point source, interference head wave, Buldyrev's head wave, whispering gallery waves, localization principle.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00535A
Ministry of Education and Science of the Russian Federation НШ-1771.2014.1
Received: 12.10.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 1, Pages 20–26
DOI: https://doi.org/10.1007/s10958-017-3390-8
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. M. Babich, A. A. Matskovskiy, “An interference head wave (Buldyrev's wave) and localization principle”, Mathematical problems in the theory of wave propagation. Part 45, Zap. Nauchn. Sem. POMI, 438, POMI, St. Petersburg, 2015, 36–45; J. Math. Sci. (N. Y.), 224:1 (2017), 20–26
Citation in format AMSBIB
\Bibitem{BabMat15}
\by V.~M.~Babich, A.~A.~Matskovskiy
\paper An interference head wave (Buldyrev's wave) and localization principle
\inbook Mathematical problems in the theory of wave propagation. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 438
\pages 36--45
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6182}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3501065}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 1
\pages 20--26
\crossref{https://doi.org/10.1007/s10958-017-3390-8}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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