Abstract:
The canonical problem of scattering by a cylindrical obstacle in a rectangular waveguide
is rigorously reexamined in the framework of the domain product technique. An
accurate, rapidly converging algorithm is based on the ef cient series representation
of the eld in a rectangular interaction region. It is shown that the fast convergence
of the numerical approximation is stipulated by mathematical properties of the matrix
operator arising from the boundary value formulation. The solution is also validated
by comparison with the data of other authors. The approach proposed can be applied
to the analysis of scattering by real metallic or dielectric posts placed parallel
to the narrow or broad wall of the guide, in the theory of the circular-rectangular
coaxial waveguide and the theory of other structures containing circular obstacles in
the rectangular coupling region
