2003 | OriginalPaper | Buchkapitel
Rapidly-Convergent Local-Mode Representations for Wave Propagation and Scattering in Curved-Boundary Waveguides
verfasst von : Gerassimos A. Athanassoulis, Konstadinos A. Belibassakis
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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A new general method for treating wave propagation and scattering problems in partially limited domains with curved boundaries is established, based on an enhanced local-mode series, which includes an additional term accounting for the effects of the curved boundary. The additional mode provides an implicit summation of the slowly convergent part O (n−2) of the local-mode series, rendering the remaining part to converge much faster, like O (n−4), where n is the mode order.