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Diffraction of plane waves on bodies of different type. (English. Russian original) Zbl 1009.78004

J. Math. Sci., New York 111, No. 4, 3708-3716 (2002); translation from Zap. Nauchn. Semin. POMI 264, 150-163 (2000).
The author studies the diffraction of a plane wave by a bounded body and by a cone of arbitrary shape in the case of perfect reflection, solving the point-source diffraction problem and then moving the source to infinity along a fixed direction. The paper presents rigorous proofs for this construction where the case of a cone reflector is rather involved.

MSC:

78A45 Diffraction, scattering
35P25 Scattering theory for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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