Electromagnetic wave scattering by elliptic chiral cylinder

An exact boundary value solution for the scattering of transverse magnetic (TM) wave by an elliptic chiral cylinder is developed and presented in this paper. The solution is based on the separation of variable technique in the elliptic cylinder coordinates system and expressed in terms of Mathieu and modified Mathieu functions. The incident, transmitted and scattered electromagnetic waves are expressed in terms of infinite series of wave functions. The matrix form of the expansion coefficients is found by applying the boundary conditions and orthogonality of the Mathieu functions. Numerical results of the forward and back scattered echo widths for co- and cross-polarized waves with TM and TE polarized incident fields, for various cases are presented and discussed.