Analysis of crossed waveguide inclined slot-coupled junction

The paper presents the method of finding the complete equivalent circuit of crossed rectangular waveguides coupled through a centered inclined slot in the common broad wall. The centered slot is replaced by an equivalent magnetic elliptic cylindrical dipole and the method of finding the length of their principal axes as well as their angle of inclination θ, looking from the top and bottom guides are discussed. Using conformal transformation, the elliptic cylinder is transformed into circular cylinder, whose radii are different but depend on θ looking from the top and bottom guides. The variational method based on waveguide dyadic Green's function is used for finding the parameters of the equivalent circuit. Numerical data are presented.