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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 438, Pages 36–45
(Mi znsl6182)
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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
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.
Received: 12.10.2015
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
Linking options:
https://www.mathnet.ru/eng/znsl6182 https://www.mathnet.ru/eng/znsl/v438/p36
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Abstract page: | 325 | Full-text PDF : | 74 | References: | 43 |
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