Title :
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
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;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2004. IEEE
Conference_Location :
Monterey, CA, USA
Print_ISBN :
0-7803-8302-8
DOI :
10.1109/APS.2004.1330631
