We formulate the general waveguide discontinuity problem in terms of reflection and transmission operators using a general mode-matching method. This allows the multidiscontinuity problem for arbitrarily shaped waveguides to be solved easily. We then relate the mode-matching method to the integral equation method by using the equivalence principle. This sheds light on the issue of relative convergence. We prescribe a more relaxed condition for obtaining a convergent solution to this problem. The idea is illustrated by a numerical simulation.
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Chew et al. (1991) studied this question.
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