Electromagnetic scattering by two parallel dielectric elliptic cylinders

The transverse magnetic (TM) multiple scattering by two parallel homogeneous dielectric elliptic cylinders is investigated. The solution is an exact one and based on the separation of variables technique in conjunction with the addition theorem for Mathieu functions. It is expressed in terms of a system of simultaneous linear equations of infinite order which is then truncated for numerical computations. Representative numerical results with emphasis on the multiple scattering effects on the backscattering echo width are then generated, for some selected parameters, and presented. It is found that the multiple interactions between the two cylinders affect the echo width significantly