Extensions of the single-integral-equation method

Abstract

Scattering of electromagnetic waves by homogeneous dielectric or finitely conducting bodies can be reduced to the solution of integral equations. In the simpler cases, only a single-integral-equation is needed, with no increase of required memory over scattering by a perfectly conducting body. In more complicated cases, this is not possible and two unknown boundary functions have to be defined on some of the interfaces. We decrease the required memory by changing the interface where two functions are used. We apply this method to strips on substrates, although more significant memory savings can be effected in three-dimensional problems. This method is extended to scattering from a strip on another strip on a substrate.