Summary
In this paper an exact method is described for computing numerically the scattering by an inhomogeneity in a cylindrical waveguide. The “Generalized Telegraphist's Equations” are used to transform the electromagnetic-field equations into a system of ordinary differential equations. The latter system behaves numerically unstable. A method is given to cope with this difficulty. Numerical results are presented for two- and three-dimensional obstacles in a waveguide of rectangular cross-section and they are compared with those obtained by other methods. Our method requires, in general, a relatively small amount of computation time and storage capacity. Another advantage of the method is its flexibility.
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Mur, G. A differential-equation method for the computation of the electromagnetic scattering by an inhomogeneity in a cylindrical waveguide. J Eng Math 12, 157–175 (1978). https://doi.org/10.1007/BF00043216
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DOI: https://doi.org/10.1007/BF00043216