6533b7d1fe1ef96bd125d5a2

RESEARCH PRODUCT

Efficient and accurate computation of Green's function for the Poisson equation in rectangular waveguides

Vicente E. BoriaM. TaroncherS. Cogollos

subject

Laplace's equationMathematical analysisGreen's identitiesCondensed Matter PhysicsIntegral equationGreen's function for the three-variable Laplace equationsymbols.namesakeScreened Poisson equationGreen's functionsymbolsGeneral Earth and Planetary SciencesElectrical and Electronic EngineeringPoisson's equationGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)Rectangular functionMathematics

description

[1] In this paper, a new algorithm for the fast and precise computation of Green's function for the 2-D Poisson equation in rectangular waveguides is presented. For this purpose, Green's function is written in terms of Jacobian elliptic functions involving complex arguments. A new algorithm for the fast and accurate evaluation of such Green's function is detailed. The main benefit of this algorithm is successfully shown within the frame of the Boundary Integral Resonant Mode Expansion method, where a substantial reduction of the computational effort related to the evaluation of the cited Green's function is obtained.

yearjournalcountryeditionlanguage
2009-05-12Radio Science
https://doi.org/10.1029/2008rs003999