Journal article
A Recursive Acceleration Technique for Static Potential Green's Functions of a Rectangular Cavity Combining Image and Modal Series
Dept. of Signal Process. & Telecommun., Univ. Politec. de Catalunya, Barcelona, Spain1
Lab. d'Electromagn. et d'Acoust. (LEMA), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland2
A hybrid acceleration algorithm for the computation of the static potential Green's functions of a rectangular cavity is proposed. Similarly to Ewald's method, it combines the series expansions in terms of images and modes. The main particularity with respect to Ewald resides in the fact that it does not need the evaluation of a nonalgebraic function such as the complementary error function (erfc) while maintaining the rapid convergence of the Ewald technique.
Finally, the method requires the computation of eight terms (original source plus seven images) and of several modal series corresponding to bigger cavities, which can be efficiently performed.
Language: | English |
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Publisher: | IEEE |
Year: | 2011 |
Pages: | 542-551 |
ISSN: | 15579670 and 00189480 |
Types: | Journal article |
DOI: | 10.1109/TMTT.2010.2103088 |
Acceleration Boundary conditions Cavities Cavity resonators Convergence Ewald method Green's function methods Green's functions (GFs) MMICs complementary error function convergence integral equations integral-equation technique method of moments (MoM) modal series nonalgebraic function numerical methods rectangular cavity rectangular waveguides recursive acceleration technique series (mathematics) series acceleration series expansions static potential Green's functions