Electromagnetic Scattering By an Inhomogeneous Chiral Sphere of Varying Permittivity: a Discrete Analysis Using Multilayered Model - Abstract

Abstract

Electromagnetic wave scattering by a spherical object has been a problem and the solution of the problem is of both scientific interest and practical applications. In this work, a chiral sphere of varying permittivity against the radial distance is taken into account. An analytic solution to the problem is obtained by applying the discrete analysis of multilayered structures to such an inhomogeneous chiral sphere. Fields in each region of the chiral sphere are obtained and expanded in terms of spherical vector wave functions. Their scattering coefficients are derived by applying boundary conditions at all the spherical interfaces and expressed in recursive coefficient matrices. Without any loss of generality, each of the radial multilayers discretized based on the radial profile of the nonlinear permittivity relations could be a chiral or achiral region with different permittivity, permeability, and chirality admittance. The behavior of the scattered fields is illustrated and discussed by plotting scattering cross sections against