Domain-product technique solution for the problem of electromagnetic scattering from multiangular composite cylinders

The paper presents a domain-product technique solution for the problem of electromagnetic scattering from a two-dimensional structure composed of multiple perfect conductors and lossless dielectrics with arbitrarily polyhedral boundaries. The configuration is assumed to be excited by a plane wave polarized transverse magnetic or transverse electric to the axis of the cylinders. For both the interior and exterior subregions, efficient field representations are attained in the forms of Mathieu function expansions. A system of infinite matrix equations with respect to the expansion coefficients results from the boundary conditions. A solution to the system is found using a truncation procedure. Numerical examples are presented that demonstrate the validity, flexibility, and capability of the technique. In the middle frequency range, the approach proposed enables accurate numerical analysis of fairly complicated structures with low computational cost.