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Sbornik: Mathematics, 1999, Volume 190, Issue 2, Pages 205–231
DOI: https://doi.org/10.1070/sm1999v190n02ABEH000383 (Mi sm383) 		 
This article is cited in 27 scientific papers (total in 27 papers)

Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II

I. V. Kamotskiia, S. A. Nazarovb

a Saint-Petersburg State University
b Admiral Makarov State Maritime Academy
English version PDF (279 kB) Citations (27)
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DOI: https://doi.org/10.1070/sm1999v190n02ABEH000383
Abstract: The solution of the problem of diffraction of an acoustic plane wave by a periodic boundary for frequencies close to threshold values is studied. It is shown that if the periodic structure has some special geometry, then the transformations of the diffraction pattern (Wood's anomalies) are accompanied by the occurrence of surface waves. Substantiation of asymptotic formulae (in particular, the ones in [1]) is carried out on the basis of the techniques of equivalent weighted norms in Sobolev spaces.
Received: 08.07.1997
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 2, Pages 43–70
DOI: https://doi.org/10.4213/sm383
Bibliographic databases:
UDC: 517.9
MSC: 76Q05, 35P25, 35C20
Language: English
Original paper language: Russian
Citation: I. V. Kamotskii, S. A. Nazarov, “Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II”, Mat. Sb., 190:2 (1999), 43–70; Sb. Math., 190:2 (1999), 205–231
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1108
    Russian version PDF:356
    English version PDF:11
    References:63
    First page:4
     
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