Book Review: Scattering by obstacles

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Acoustic Scattering by Inhomogeneous Obstacles

Acoustic scattering problems are considered when the material parameters (density and speed of sound) are functions of position within a bounded region. An integro-differential equation for the pressure in this region is obtained. It is proved that solving this equation is equivalent to solving the scattering problem. Problems of this kind are often solved by regarding the effects of the inhomo...

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Scattering by Obstacles in Acoustic Waveguides

We study the scattering of acoustic waves by an obstacle embedded in a uniform waveguide with planar boundaries, which is a fundamental model in shallow ocean acoustics. Under certain geometric assumptions on the shape of the obstacle, we prove a Rellichtype uniqueness theorem in the case of soft obstacles. The solvability of the scattering problem is proved via boundary integral equations and ...

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Book Review

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1987

ISSN: 0273-0979

DOI: 10.1090/s0273-0979-1987-15535-2