|
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
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
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
Linking options:
https://www.mathnet.ru/eng/sm379https://doi.org/10.1070/sm1999v190n01ABEH000379 https://www.mathnet.ru/eng/sm/v190/i1/p109
|
Statistics & downloads: |
Abstract page: | 1162 | Russian version PDF: | 602 | English version PDF: | 24 | References: | 66 | First page: | 3 |
|