Abstract
A recursive algorithm previously used in diffusion problems of geophysics and in electrostatics is extended to wave phenomena. It is used to construct a matrix representation for an infinitely long waveguide of arbitrary cross-sectional shape. This representation is used in finite-element analysis of waveguide discontinuities. In numerical tests, scattering matrices for the long guides converge to nearly full word-length in six to seven recursion steps, and discontinuity characteristics are within 1-2% of known results where they exist. >
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