Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners

Date
2007-11
Advisor
Instructor
Source Title
2nd European Conference on Antennas and Propagation (EuCAP 2007)
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
1 - 6
Language
English
Type
Conference Paper
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Volume Title
Abstract

We consider accurate solution of scattering problems involving complicated metamaterial (MM) structures consisting of thin wires and split-ring resonators. The scattering problems are formulated by the electric-field integral equation (EFIE) discretized with the Rao-Wilton- Glisson basis functions defined on planar triangles. The resulting dense matrix equations are solved iteratively, where the matrix-vector multiplications that are required by the iterative solvers are accelerated with the multilevel fast multipole algorithm (MLFMA). Since EFIE usually produces matrix equations that are ill-conditioned and difficult to solve iteratively, we employ nested preconditioners to achieve rapid convergence of the iterative solutions. To further accelerate the simulations, we parallelize our algorithm and perform the solutions on a cluster of personal computers. This way, we are able to solve problems of MMs involving thousands of unit cells.

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Keywords
Electric-field integral equation, Electromagnetic scattering, Metamaterials, Multilevel fast multipole Algorithm, Nested preconditioners., Computational analysis, Dense matrices, Ill-conditioned, Iterative solutions, Iterative solvers, Matrix equations, Matrix vector multiplication, Metamaterial structures, Multilevel fast multipole algorithms, Nested preconditioners., Preconditioners, Rao-Wilton-Glisson basis functions, Rapid convergence, Scattering problems, Split-ring resonator, Thin wires, Unit cells, Antennas, Computer simulation, Electromagnetic wave scattering, Electronic equipment, Integral equations, Metamaterials, Parallel algorithms, Personal computers, Problem solving, Clustering algorithms
Citation
Published Version (Please cite this version)