Wave scattering by cylindrical obstacle in generalised waveguide

A novel full-wave solution of the problem of electromagnetic wave scattering by a circular post in a straight or continuously curved rectangular waveguide is presented. A rigorous mathematical model is based on the domain-product technique. It allows one to construct an efficient series representation for the field in the interaction region. As a result, the initial boundary value formulation is reduced to a matrix equation with the Fredholm operator. The latter has the form of a sum of several products of Hilbert-Schmidt operators, provided the post does not touch the boundaries of the interaction region. The kernel matrix operator predetermines the fast convergence of the numerical approximations for a wide range of curvature variation, any radius of the cylinder and arbitrary location of the obstacle in the interior of the guide.