Accurate and Efficient Analysis of the Field Scattered from a Thin Dielectric Disk Near the Disk Natural Mode Resonances by means of GBC and MAP

Abstract

The generalized boundary conditions allow to formulate the problem of the electromagnetic scattering from a thin dielectric disk in terms of two decoupled surface integral equations for the effective electric and magnetic currents. Taking advantage of the revolution symmetry of the problem, such equations can be reduced to two infinite set of one-dimensional independent integral equations in the vector Hankel transform domain. A suitable analytical preconditioning procedure, based on Helmholtz decomposition and Galerkin method with a complete set of orthogonal eigenfunctions of the static part of the integral operator, reconstructing the physical behavior of the fields, as expansion basis, leads to fast converging Fredholm second-kind matrix equations even near the natural resonances of the disk.