A Multiresolution System of Rao–Wilton–Glisson Functions

Author

Vipiana, Francesca ; Vecchi, Giuseppe ; Pirinoli, Paola

Author_Institution

Dipt. di Elettronica, Politecnico di Torino

Volume

55

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

924

Lastpage

930

Abstract

A multiresolution (MR) basis is described for the method of moments (MoM) analysis of a generic 3-D conductor discretized with triangular cells. The MR basis functions are constructed as linear combination of Rao-Wilton-Glisson (RWG) basis functions, thus allowing direct applicability on existing MoM codes. With respect to previous work by the authors, the generation of the MR functions is significantly simplified, yet keeping similar applicability and performance, in terms of conditioning of the MoM matrix, convergence of the iterative solvers, and possibility of sparsifying the MoM matrix by clipping. Moreover, with the proposed basis the basis-change matrix from RWG to MR is highly sparse at all levels; this allows a more efficient generation of the MR-MoM matrix

Keywords

antenna theory; convergence of numerical methods; method of moments; microwave antennas; sparse matrices; 3-D conductor; MoM; RWG; Rao-Wilton-Glisson basis function; method of moments analysis; multiresolution system; sparse matrix; Conductors; Convergence; Electromagnetic compatibility; Microwave antennas; Microwave circuits; Moment methods; Scattering; Shape; Sparse matrices; Transmission line matrix methods; Antennas; method of moments (MoM); multiresolution techniques; wavelets;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2007.891864

Filename

4120301