Plane wave scattering by N dielectric coated conducting strips

Analytical solution of a plane electromagnetic wave scattered by N dielectric coated conducting strips is presented. The solution of the problem is based on the boundary value method. The scattered field from each coated strip is expressed in terms of an infinite series of Mathieu functions of unknown coefficients which can then be calculated by enforcing the boundary conditions on each coated strip. As scattered fields are written in terms of local coordinates assumed at the centre of each element, the addition theorem of Mathieu function is used to transfer scattered fields from all element local coordinates to the local coordinates at the coated strip where boundary conditions are applied. Owing to the infinite dimensionality of the series involved in the solution, truncation must be performed based on the convergence of the series. Results of a number of interesting examples are then presented.