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Three boundary value problems involving discontinuities in a parallel plate waveguide are solved. The three kinds of waveguide discontinuities studted are: 1) the metallic step discontinuity, 2) the inhomogeneous E-plane bifurcation, and 3) the trifurcatior. The generalized scattering matrix technique, introduced by Mittra and Pace, is applied to solve these problems. The solutions obtained are formally exact and in jeries form. No restriction is made on the operating frequexcy of thedoi:10.21236/ad0601131 fatcat:jmsbramb4vf2pjskyppehogphq