A new approach to the solution of a class of diffraction problems for closed and open periodic structures is illustrated by means of the scattering of an incident modal field at the junction of a parallel-plate waveguide with electric and magnetic walls. The formulation is in terms of field matching. The resulting singular integral equation is solved in closed form by reduction to a Hilbert problem. A comparison with the results of the residue-calculus method of the mode-matching technique is included.
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