Diffraction by a narrow circular cone as by a strongly elongated body

Leading order terms of asymptotic expansions in problems of acoustic and electromagnetic waves diffraction by a narrow circular cone are constructed in this paper. By analogy with problems of diffraction by strongly elongated bodies, the derivations are carried out in a special system of coordinates...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-09, Vol.185 (4), p.517-522
Main Authors: Andronov, I. V., Bouche, D.
Format: Article
Language:English
Subjects:
Electric waves
Electromagnetic radiation
Electromagnetic waves
Mathematics
Mathematics and Statistics
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Summary:Leading order terms of asymptotic expansions in problems of acoustic and electromagnetic waves diffraction by a narrow circular cone are constructed in this paper. By analogy with problems of diffraction by strongly elongated bodies, the derivations are carried out in a special system of coordinates related to the surface, which takes into account the fact that the cone angle is small. Graphs of special functions appearing in the problems of diffraction considered are presented. Bibliography: 9 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-012-0934-9