Application of Sh-Matrices in Electromagnetic Wave Scattering by Particles of Irregular Shapes

Abstract

A specific example of expanded boundary condition method modified with introduction of socalled Sh-matrices whose elements depend only on a particle shape and do not depend on its size or optical constants is considered. This allows to calculate Sh-matrices only once, and then to find the intensity and degree of linear polarization for any particle size and refractive index. In some cases, using of Sh-matrices suggests the analytical solution of scattering. Here, the solution for the particles which shape resembles seashells is obtained. It is shown that with the increasing parameter ξ, characterizing deviation from a spherical shape, the number of resonances on curves and their amplitudes decrease.