Vectorial Low-Frequency MLFMA for the Combined Field Integral Equation

Author

Aronsson, Jonatan ; Okhmatovski, Vladimir

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Manitoba, Winnipeg, MB, Canada

Volume

10

fYear

2011

fDate

7/3/1905 12:00:00 AM

Firstpage

532

Lastpage

535

Abstract

A vectorial Low-Frequency Multi-Level Fast Multipole Algorithm (LF-MLFMA) is proposed for acceleration of interactions resultant from the method of moments (MoM) discretization of the combined field integral equation (CFIE). The derivatives relating the scalar Green´s function to its dyadic counterparts are defined via recursive identities for scalar wave functions. The method evaluates the matrix vector product in MoM by performing three scalar LF-MLFMA passes. It is demonstrated to be stable for scatterers spanning up to 110 wavelengths in size. As the method does not impose any restrictions on the depth of the MLFMA tree, it is suitable for the solution of both broadband and multiscale problems.

Keywords

Green´s function methods; electric field integral equations; electromagnetic wave scattering; matrix algebra; method of moments; MoM discretization; electric field integral equation; electromagnetic problems; matrix vector product; method of moments; multilevel fast multipole algorithm; scalar Green´s function; scalar wave functions; vectorial low-frequency MLFMA; Acceleration; Equations; Kernel; Manganese; Mathematical model; Moment methods; Wave functions; Fast algorithms; low-frequency fast multipole method; multiscale modeling;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

Conference_Location

5/27/2011 12:00:00 AM

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2011.2157886

Filename

5778941