Fast and Accurate Analysis of Homogenized Metamaterials With the Surface Integral Equations and the Multilevel Fast Multipole Algorithm

Date

2011-01-01

Author

Ergül, Özgür Salih

Metadata

Show full item record

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

Item Usage Stats

124
views

0
downloads

Fast and accurate analysis of double-negative materials (DNMs) with the surface integral equations and the multilevel fast multipole algorithm (MLFMA) is considered. DNMs, which are commonly used as simplified models of metamaterials at resonance frequencies, can be formulated with the surface integral equations. Two recently developed formulations-namely, the combined tangential formulation (CTF) and the electric and magnetic current combined-field integral equation (JMCFIE)-are used to formulate DNMs. Iterative solutions with MLFMA are investigated in detail to show that numerical results are consistent with those for ordinary materials. Accuracy and efficiency of the proposed implementation based on JMCFIE with high combination parameter and MLFMA are demonstrated on very large problems discretized with tens of millions of unknowns.

Subject Keywords

Double-negative materials (DNMs), Metamaterials, Multilevel fast multipole algorithm (MLFMA), Surface integral equations

URI

https://hdl.handle.net/11511/49119

Journal

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS

DOI

https://doi.org/10.1109/lawp.2011.2176530

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Rigorous Analysis of Double-Negative Materials with the Multilevel Fast Multipole Algorithm Ergül, Özgür Salih (2012-02-01) We present rigorous analysis of double-negative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). Accuracy and efficiency of numerical solutions are investigated when DNMs are formulated with two recently developed formulations, i.e., the combined tangential formulation (CTF) and the electric and magnetic current combined-field integral equation (JMCHE). Simulation results on canonical objects are consistent with previous results in the literature on ordin...
Analysis of double-negative materials with surface integral equations and the multilevel fast multipole algorithm Ergül, Özgür Salih (2011-08-13) We present a fast and accurate analysis of double-negative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). DNMs are commonly used as simplified models of metamaterials at resonance frequencies and are suitable to be formulated with surface integral equations. However, realistic metamaterials and their models are usually very large with respect to wavelength and their accurate solutions require fast algorithms, such as MLFMA. We consider iterative solutio...
Rigorous Analysis of Deformed Nanowires Using the Multilevel Fast Multipole Algorithm Karaosmanoglu, Bariscan; Yilmaz, Akif; Ergül, Özgür Salih (2015-05-17) We present accurate full-wave analysis of deformed nanowires using a rigorous simulation environment based on the multilevel fast multipole algorithm. Single nanowires as well as their arrays are deformed randomly in order to understand the effects of deformations to scattering characteristics of these structures. Results of hundreds of simulations are considered for statistically meaningful analysis of deformation effects. We show that deformations significantly enhance the forward-scattering abilities of ...
Fast and accurate analysis of optical metamaterials using surface integral equations and the parallel multilevel fast multipole algorithm Ergül, Özgür Salih (2013-09-13) We present fast and accurate simulations of optical metamaterials using surface integral equations and the multilevel fast multipole algorithm (MLFMA). Problems are formulated with the electric and magnetic current combined-field integral equation and solved iteratively with MLFMA, which is parallelized using the hierarchical strategy on distributed-memory architectures. Realistic metamaterials involving dielectric, perfectly conducting, and plasmonic regions of finite extents are solved rigorously with the...
Accurate Solutions of Extremely Large Integral-Equation Problems in Computational Electromagnetics Ergül, Özgür Salih (2013-02-01) Accurate simulations of real-life electromagnetics problems with integral equations require the solution of dense matrix equations involving millions of unknowns. Solutions of these extremely large problems cannot be achieved easily, even when using the most powerful computers with state-of-the-art technology. However, with the multilevel fast multipole algorithm (MLFMA) and parallel MLFMA, we have been able to obtain full-wave solutions of scattering problems discretized with hundreds of millions of unknow...

Citation Formats

Ö. S. Ergül, “Fast and Accurate Analysis of Homogenized Metamaterials With the Surface Integral Equations and the Multilevel Fast Multipole Algorithm,” IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, pp. 1286–1289, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49119.