Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners

Download

index.pdf

Date

2007-11-16

Author

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

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

134
views

95
downloads

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

Suggestions

OpenMETU
Core

Accurate analysis of metamaterials involving finite arrays of split-ring resonators and thin wires Gurel, Levent; Ergül, Özgür Salih; Unal, Alper (2007-03-30) In order to gain physical insight into how some metamaterial structures behave, we report our results obtained by accurate numerical solutions of electromagnetic problems related to various constructions of split-ring-resonators (SRRs) and thin wires (TWs). Single and multiple layers of arrays of SRRs and TWs are investigated in detail using the electric-field integral equation. Without utilizing any homogenization techniques, we accurately model large numbers of unit cells that translate into very large co...
Rigorous Solutions of Electromagnetic Problems Involving Hundreds of Millions of Unknowns Ergül, Özgür Salih (2011-02-01) Accurate simulations of real-life electromagnetic problems with integral equations require the solution of dense matrix equations involving millions of unknowns. Solutions of these extremely large problems cannot be easily achieved, even when using the most powerful computers with state-of-the-art technology. Hence, many electromagnetic problems in the literature have been solved by resorting to various approximation techniques, without controllable error. In this paper, we present full-wave solutions of sc...
Penetrable Numerical Modeling of Metallic Nanoparticles at Terahertz Frequencies İbili, Hande; Karaosmanoglu, B.; Ergül, Özgür Salih (2018-08-04) Numerical solutions of electromagnetic problems involving nanostructures at terahertz (THz) frequencies are considered. We particularly focus on nanoparticles that are made of typical metals at the lower THz frequencies. Even though the frequency is relatively low, we show that penetrable models are needed for accurately representing electromagnetic characteristics, especially to predict penetrating magnetic fields inside small particles. Due to large permittivity values with negative real parts, stable for...
Accurate solutions of scattering problems involving low-contrast dielectric objects with surface integral equations Ergül, Özgür Salih (2007-11-16) We present the stabilization of the surface integral equationsfor accurate solutions of scattering problems involvinglow-contrast dielectric objects. Unlike volume formulations,conventional surface formulations fail to provide accurateresults for the scatteredfields when the contrast of theobject is small. Therefore, surface formulations are requiredto be stabilized by extracting the nonradiating parts of theequivalent currents. In addition to previous strategies forthe stabilization, we introduce a n...
Comparison of Integral-Equation Formulations for the Fast and Accurate Solution of Scattering Problems Involving Dielectric Objects with the Multilevel Fast Multipole Algorithm Ergül, Özgür Salih (2009-01-01) We consider fast and accurate solutions of scattering problems involving increasingly large dielectric objects formulated by surface integral equations. We compare various formulations when the objects are discretized with Rao-Wilton-Glisson functions, and the resulting matrix equations are solved iteratively by employing the multilevel fast multipole algorithm (MLFMA). For large problems, we show that a combined-field formulation, namely, the electric and magnetic current combined-field integral equation (...

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.