CALCULATION OF SCALAR SCATTERING ON A PROLATE SPHEROID

Abstract

Method of separation of variables plays an important role in mathematical physics problems, especially in the scattering problem containing hyperbolic equations with the survey domain limited by coordinate surfaces of arbitrary shapes. In this paper, the method of separation of variables in the spherical coordinate system is developed for calculating the scalar stationary scattering problem on a prolate spheroid with an arbitrary ratio between wavelength and size of the spheroid.