Scattering of High-Frequency Electromagnetic Waves by the Vertex of a Perfectly Conducting Cone (Singular Directions) |
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Authors: | V M Babich D B Dement'ev B A Samokish V P Smyshlyaev |
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Institution: | (1) St.Petersburg Department of the Steklov Mathematical Institute, Russia;(2) St.Petersburg State University, Russia |
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Abstract: | An analytic expression for the electromagnetic wave scattered in singular directions on the vertex of a perfectly conducting cone is obtained. The approach used in the paper is a generalization to the electromagnetic case of the approach previously developed by the authors. In singular directions, the spherical front set of a wave scattered by the vertex is tangent to the front set of a wave reflected by the cone surface. The wave field is expressed in terms of parabolic-cylinder functions. Bibliography: 8 titles. |
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