Fast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithm

Date
2013
Advisor
Instructor
Source Title
Journal of the Optical Society of America A: Optics and Image Science, and Vision
Print ISSN
1084-7529
Electronic ISSN
Publisher
Optical Society of America
Volume
30
Issue
3
Pages
509 - 517
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

Accurate electromagnetic modeling of complicated optical structures poses several challenges. Optical metamaterial and plasmonic structures are composed of multiple coexisting dielectric and/or conducting parts. Such composite structures may possess diverse values of conductivities and dielectric constants, including negative permittivity and permeability. Further challenges are the large sizes of the structures with respect to wavelength and the complexities of the geometries. In order to overcome these challenges and to achieve rigorous and efficient electromagnetic modeling of three-dimensional optical composite structures, we have developed a parallel implementation of the multilevel fast multipole algorithm (MLFMA). Precise formulation of composite structures is achieved with the so-called "electric and magnetic current combined-field integral equation." Surface integral equations are carefully discretized with piecewise linear basis functions, and the ensuing dense matrix equations are solved iteratively with parallel MLFMA. The hierarchical strategy is used for the efficient parallelization of MLFMA on distributed-memory architectures. In this paper, fast and accurate solutions of large-scale canonical and complicated real-life problems, such as optical metamaterials, discretized with tens of millions of unknowns are presented in order to demonstrate the capabilities of the proposed electromagnetic solver.

Course
Other identifiers
Book Title
Keywords
Integral equations, Iterative methods, Matrix algebra, Optical materials, Piecewise linear techniques, Three dimensional, Combined field integral equations, Electromagnetic modeling, Electromagnetic solvers, Hierarchical strategies, Multi level fast multipole algorithms (MLFMA), Multi-level fast multi-pole algorithm, Parallel implementations, Surface integral equations, Structure (composition)
Citation
Published Version (Please cite this version)