Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners

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2007-11-16

Author

Ergül, Özgür Salih
Yavuz, Ç.
Ünal, A.
Gürel, L.

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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-WiltonGlisson 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.

Subject Keywords

Metamaterials, Electromagnetic scattering, Electric-field integral equation, Multilevel fast multipole algorithm, Nested preconditioners

URI

https://hdl.handle.net/11511/36351

DOI

https://doi.org/10.1049/ic.2007.1419

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

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Citation Formats

Ö. S. Ergül, Ç. Yavuz, A. Ünal, and L. Gürel, “Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners,” 2007, vol. 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36351.