Electromagnetic scattering by two parallel conducting elliptic cylinders: iterative solution

An analytic solution to the problem of a plane electromagnetic wave scattering by two parallel elliptic conducting cylinders is presented using an iterative procedure to account for the multiple scattered field between the cylinders. To compute the higher order terms of the scattered fields, the translation addition theorem for Mathieu functions is implemented to express the field scattered by one cylinder in terms of the elliptic coordinate system of the other cylinder to impose the boundary conditions. Scattered field coefficients of various orders are obtained and written in matrix form. Numerical results are obtained for the scattered field in the far zone for different axial ratios, electrical separations and angles of incidence