A Fast Method for Scattering From a PEC Strip or PEC Semicircular Cylinder Loaded With Semicircular Dielectric Cylinders

A fast method for determining the fields scattered from a perfect electric conductor (PEC) strip or PEC semicircular cylinder loaded with semicircular dielectric cylinders illuminated by a TE/TM plane wave or an electric/magnetic line source is presented. The method is based on expanding the field on the circle containing the scatterer in terms of a Neumann series, which satisfies the continuity of the tangential electric field. The continuity of the tangential magnetic field is satisfied by using the orthogonality of Gegenbauer polynomials. Some numerical results are presented to demonstrate the efficacy of the proposed solution.