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Sbornik: Mathematics, 1999, Volume 190, Issue 1, Pages 111–141
DOI: https://doi.org/10.1070/sm1999v190n01ABEH000379 (Mi sm379) 		 
This article is cited in 32 scientific papers (total in 32 papers)

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

I. V. Kamotskiia, S. A. Nazarovb

a Saint-Petersburg State University
b Admiral Makarov State Maritime Academy
English version PDF (320 kB) Citations (32)
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DOI: https://doi.org/10.1070/sm1999v190n01ABEH000379
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. Wood's well-known experiments show that deviations from the threshold frequency values by a small quantity bring about drastic changes in the diffraction pattern. The asymptotic formula with respect to the small parameter $\varepsilon$ is obtained for the corresponding scattering matrix.
Received: 08.07.1997
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 1, Pages 109–138
DOI: https://doi.org/10.4213/sm379
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. I”, Mat. Sb., 190:1 (1999), 109–138; Sb. Math., 190:1 (1999), 111–141
Citation in format AMSBIB
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    This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:76
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