Evaluation of the scattering matrix for impedance sphere

Abstract

In this work, scattering matrix of the constant impedance sphere is investigated by using series expansion of the incident and the scattering field. Using impedance boundary condition, unknown coefficients in the scattering field were found. We consider the there dimensional case as, sphere is illuminated by plane wave that be along z direction. We obtained the general expressions of the scattered field. Then we sought for the scattering matrix for the y-z plane