Combined utilization of eigenfunctions and integral equations to calculate the fields inside inhomogeneous dielectric bodies

Abstract

The communication deals with the solution of 2-D model problem of excitation of a uniform dielectric circular cylinder with nonuniform dielectric object called 'inclusion' contained within. The aim is reached by a combination of two rigorous techniques, namely eigenfunction expansions (EE) and volume integral equations (IE). The solution leads to a system of linear algebraic equations, whose unknowns represent the field values over the inclusion cross-section. The developed model can be efficiently utilized to solve the electromagnetic compatibility problems, to construct composite materials with predetermined electromagnetic properties and, especially, when investigating the electromagnetic fields influence on biological structures. In the last case, the cylinder is a good model of a bath with matching liquid, where the investigated object is immersed, or a model of some biological structures such as arm, leg, etc.