2003 | OriginalPaper | Buchkapitel
Riccati Equation for the Impedance of Waveguides
verfasst von : Isabelle Champagne, Jacques Henry
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In this paper, we aim at studying the generalized impedance for the Helmholtz problem in waveguides. A classical method consists in a modal approach (cf. [6]), that is, that the solution is expanded on a basis of eigenfunctions. This usually leads to truncating the analytical field to the lowest-order mode. Whereas the study of the cylindrical guide is accurate, resorting to this method for a guide with a varying section proves more difficult.