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

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For the boundary value problem of diffraction of an external disturbance by a local penetrable body with smooth surface, we construct an integral representation of the solution based on a… Click to show full abstract

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

Keywords: three dimensional; dimensional problems; representations fields; integral representations; fields three; problems diffraction

Journal Title: Differential Equations
Year Published: 2020

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