Analysis of dielectric photonic-crystal problems with MLFMA and Schur-complement preconditioners

Date
2011-01-13
Advisor
Instructor
Source Title
Journal of Lightwave Technology
Print ISSN
0733-8724
Electronic ISSN
Publisher
IEEE
Volume
29
Issue
6
Pages
888 - 897
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

We present rigorous solutions of electromagnetics problems involving 3-D dielectric photonic crystals (PhCs). Problems are formulated with recently developed surface integral equations and solved iteratively using the multilevel fast multipole algorithm (MLFMA). For efficient solutions, iterations are accelerated via robust Schur-complement preconditioners. We show that complicated PhC structures can be analyzed with unprecedented efficiency and accuracy by an effective solver based on the combined tangential formulation, MLFMA, and Schur-complement preconditioners.

Course
Other identifiers
Book Title
Keywords
Multilevel fast multipole algorithm (MLFMA), Photonic crystals (PhCs), Schur-complement preconditioners, Surface integral equations (SIEs)
Citation
Published Version (Please cite this version)