منابع مشابه
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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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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We investigate an overlapping solution technique to compute the scattering of timeharmonic electromagnetic waves in two dimensions. The technique can be used to compute waves scattered by penetrable anisotropic inhomogeneous scatterers or impenetrable obstacles. The major focus is on implementing the method using finite elements. We prove existence of a unique solution to the disctretized probl...
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This article presents a brief exposition of recent results of the author on billiard scattering by rough obstacles. We define the notion of a rough body and give a characterization of scattering by rough bodies. Then we define the resistance of a rough body; it can be interpreted as the aerodynamic resistance of the somersaulting body moving through a rarefied medium. We solve the problems of m...
متن کاملDynamics of classical wave scattering by small obstacles.
A causality problem in the time-dependent scattering of classical waves from point scatterers is pointed out and analyzed. Based on an alternative model, the leading pole approximation of the exact scattering matrix of the square-well potential, transparent expressions for the time- and position-dependent Green function in a disordered medium are derived.
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ژورنال
عنوان ژورنال: Journal of Sound and Vibration
سال: 1972
ISSN: 0022-460X
DOI: 10.1016/0022-460x(72)90599-8