Application of Higher Order Boundary Conditions to Scattering by Multilayer Coated Cylinders

Abstract

Higher order boundary conditions involve derivatives of the fields beyond the first and were recently shown to be more effective than the traditional first order conditions in modeling dielectric coatings and layers. In this paper we derive second order boundary conditions simulating a three-layer coating on perfectly conducting cylindrical structures. Both E and H polarizations are considered and integral equations are presented based on the derived conditions. A moment method implementation of the resulting integral equation(s) is given and results are presented for various coatings illustrating the accuracy of the higher order conditions.