This paper describes ~ m~thod for solving some pr_oblems involving discontinuities in waveguides. As an exa?Jple o! the applicatlo~ of the method, t~e tnf~rcat~d waveguide is treated. It is suggested that the tnfurcallon can be cons1dered to be two b1furcatwns m tandem. It is shown that the solution to the trifurcation problem, which is difficult to obtain, can be written in terms of the solution to the bifurcation, which is relatively easy to obtain. Numerical results are included.
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