High-Frequency Scattering

Abstract

In recent years, there has been a revival of interest in the phenomena of scattering at high frequencies. The simplest problems of this sort, in which the obstacle is either a circular cylinder or a sphere, are treated here. The treatment is limited to the total scattering cross sections, even though the method is by no means restricted in this way. The specific problems treated here include the scattering of a plane electromagnetic wave by a perfectly conducting circular cylinder (two possible polarizations) or a perfectly conducting sphere, the acoustic scattering by a rigid sphere, and the quantum-mechanical scattering by an impenetrable sphere.