Publication de 12 numéros par an
ISSN Imprimer: 0040-2508
ISSN En ligne: 1943-6009
Indexed in
PROJECTION APPROXIMATIONS TO THE MATRIX SCATTERING OPERATORS AND RELATIVE CONVERGENCE PHENOMENON
RÉSUMÉ
A matrix-operator model of the mode-matching technique is examined for a scalar problem of mode diffraction on abrupt discontinuity in the waveguide. The convergence of approximations, which are found via a truncation procedure, to the matrix operators of mode reflection and transmission is studied analytically. Various estimates for these projection approximations are obtained. On the basis of these results, the unconditional and relative convergence phenomena are analyzed. The impact of the "Mittra rule" upon the rate of convergence is validated analytically. The uniform-convergence condition for scattering operator approximations is stated. Properties of the condition number for the truncated matrix-operator equation are discussed. The results thus obtained may well be used to substantiate a highly practically class of mathematical models related to the mode-matching technique.
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Petrusenko I., Sirenko Yu., Generalization of the mode-matching technique or a new theory of this commonly used method, 2012 International Conference on Mathematical Methods in Electromagnetic Theory, 2012. Crossref