Fast electromagnetic analysis of multi-scale models with MLFMA utilizing spherical basis functions

Author

Aronsson, Jonatan ; Okhmatovski, Vladimir

Author_Institution

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

fYear

2011

fDate

11-15 April 2011

Firstpage

3359

Lastpage

3362

Abstract

An extension of the scalar Low-Frequency Multi-Level Fast Multipole Algorithm (MLFMA) to the vectorial form suitable for accelerations of matrix-vector product in Rao-Wilton-Glisson (RWG) Method of Moments (MoM) solution of the Combined Field Integral Equation (CFIE) is discussed. The detailed expressions relating vectors of electric and magnetic field to the expansion of the magnetic vector potential over scalar spherical wave functions are presented. The method is shown to be applicable for computational domains spanning 120 wavelengths while imposing no lower bound on the size of the leafy level boxes in the MLFMA´s hierarchical space partitioning. This makes the method particularly suitable for broadband electromagnetic modelling of multi-scale geometries.

Keywords

electromagnetic fields; geometry; matrix algebra; method of moments; CFIE; MLFMA hierarchical space partitioning; MoM solution; Rao-Wilton-Glisson method; broadband electromagnetic modelling; combined field integral equation; electromagnetic analysis; low-frequency multilevel fast multipole algorithm; matrix-vector; method of moment solution; multiscale geometries; multiscale models; scalar spherical wave function; spherical basis functions; Accuracy; Electric potential; Integral equations; Magnetic domains; Manganese; Moment methods; Rockets;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation (EUCAP), Proceedings of the 5th European Conference on

Conference_Location

Rome

Print_ISBN

978-1-4577-0250-1

Type

conf

Filename

5782303