An efficient partial differential equation formulation for solving electromagnetic scattering from arbitrarily-shaped bodies of revolution

The authors consider the direct solution of the partial differential equations arising in the problem of electromagnetic scattering by an arbitrarily shaped perfectly conducting body of revolution (BOR). The BOR may, in general, be coated with one or more layers of dielectric material. The approach of R. Mittra and R. K. Gordon (1989) is generalized to arbitrarily shaped BORs by means of boundary-fitted curvilinear coordinates that avoid the problem of staircasing in the process of describing the geometry of the scatterer. As a numerical example, the authors consider the problem of a finite conducting cylinder, illuminated by a plane wave incident upon it.