Different preconditioning techniques for the efficient simulation of 2D EC structures

Author

Pissoort, Davy ; Vande Ginste, Dries ; Olyslager, Frank ; Michielssen, Eric

Author_Institution

Dept. of Inf. Technol., Ghent Univ., Gent, Belgium

Volume

2

fYear

2004

fDate

20-25 June 2004

Firstpage

2131

Abstract

When analyzing wave propagation in electromagnetic crystals using multilevel fast multipole accelerated integral equation methods, the total number of iterations required for the solver to converge is often large. The paper discusses the effectiveness of various techniques for preconditioning the linear systems of equations arising in the analysis of ECs. In addition, it introduces a new physics-based preconditioner that effectively deflates the original system by accounting for all quasi-resonant modes directly (as opposed to iteratively).

Keywords

electromagnetic wave propagation; integral equations; iterative methods; photonic crystals; accelerated integral equation methods; dielectric cylinders; electromagnetic bandgaps; electromagnetic crystal structures; fast multipole integral equation methods; iterations; multilevel integral equations; perfectly conducting cylinders; periodic lattice; preconditioning techniques; quasi-resonant modes; wave propagation; Crystals; Dielectrics; Electromagnetic propagation; Electromagnetic scattering; Frequency; Integral equations; Lattices; Linear systems; Periodic structures; Transmission line matrix methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2004. IEEE

Conference_Location

Monterey, CA, USA

Print_ISBN

0-7803-8302-8

Type

conf

DOI

10.1109/APS.2004.1330631

Filename

1330631