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An improved surface radiation condition. (English) Zbl 0758.35074

Summary: A new three-dimensional surface radiation condition is derived which has the advantage over previous ones of going over, in two dimensions, to the most accurate ones known. It is tested against exact results for a penetrable sphere in a variety of circumstances and found to perform well over a wide range of parameters. An additional approximation is introduced which enables a simplified approach to scattering by a highly absorbing target.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
78A45 Diffraction, scattering
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
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