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

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 is carried out on the basis of the techniques of equivalent weighted norms in Sobolev spaces.

Authors:
;  [1]
  1. St. Petersburg State University, St. Petersburg (Russian Federation)
Publication Date:
OSTI Identifier:
21202845
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 190; Journal Issue: 2; Other Information: DOI: 10.1070/SM1999v190n02ABEH000383; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; DIFFRACTION; GEOMETRY; PERIODICITY; TRANSFORMATIONS; WAVE PROPAGATION

Citation Formats

Kamotskii, I V, and Nazarov, S A. Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II. United States: N. p., 1999. Web. doi:10.1070/SM1999V190N02ABEH000383; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Kamotskii, I V, & Nazarov, S A. Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II. United States. doi:10.1070/SM1999V190N02ABEH000383; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Kamotskii, I V, and Nazarov, S A. Sun . "Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II". United States. doi:10.1070/SM1999V190N02ABEH000383; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202845,
title = {Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II},
author = {Kamotskii, I V and Nazarov, S A},
abstractNote = {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 is carried out on the basis of the techniques of equivalent weighted norms in Sobolev spaces.},
doi = {10.1070/SM1999V190N02ABEH000383; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
number = 2,
volume = 190,
place = {United States},
year = {Sun Feb 28 00:00:00 EST 1999},
month = {Sun Feb 28 00:00:00 EST 1999}
}
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