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Integral Representations of Fields in Three-Dimensional Problems of Diffraction by Penetrable Bodies

Integral Representations of Fields in Three-Dimensional Problems of Diffraction by Penetrable Bodies For the boundary value problem of diffraction of an external disturbance by a localpenetrable body with smooth surface, we construct an integral representation of the solutionbased on a linear combination of single and double layer potentials with densities distributed overa common auxiliary interior surface. A complete mathematical justification of this representationis given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Integral Representations of Fields in Three-Dimensional Problems of Diffraction by Penetrable Bodies

Differential Equations , Volume 56 (9) – Sep 8, 2020

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References (16)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2020
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266120090050
Publisher site
See Article on Publisher Site

Abstract

For the boundary value problem of diffraction of an external disturbance by a localpenetrable body with smooth surface, we construct an integral representation of the solutionbased on a linear combination of single and double layer potentials with densities distributed overa common auxiliary interior surface. A complete mathematical justification of this representationis given.

Journal

Differential EquationsSpringer Journals

Published: Sep 8, 2020

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