Two-port scattering at an elliptic-waveguide junction

A concentric waveguide junction consisting of an elliptic waveguide has been formulated using the mode-matching method. The formulation is a generalized solution of the problem such that the second waveguide, which forms the junction, can be any regular shape in cross section. Exact closed-form expressions for computing the coupling integrals have been obtained from the generalized formulation. As a special case of the general solution, the expressions for evaluating the coupling integrals of rectangular-to-elliptic, circular-to-elliptic, and elliptic-to-elliptic waveguide junction are given. Theoretical results compare well with the experimental and published results.