2-D Green’s Function for an Elliptically Layered Cylindrical PEC Enclosure

In this paper, a semi-analytical solution for the computation of the two-dimensional Green’s function for a cylindrical PEC enclosure containing an arbitrary number of confocal elliptic dielectric layers is provided. The approach relies on an expansion of the Green’s function into Mathieu functions, whose coefficients are found in an efficient way through a recursive procedure. The effectiveness of the technique is evaluated by comparisons with analytical formulas and against the results provided by independent numerical solvers. Moreover, the applicability to the solution of forward scattering problems using integral formulations is also assessed. In all the considered cases, the developed approach has been found to provide accurate results.