Fast and accurate analysis of three-dimensional structures involving near-zero-index materials

Date

2019-09-01

Author

Karaosmanoglu, Bariscan
Koyaz, Yesim
İbili, Hande
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

238
views

0
downloads

We present efficient and accurate frequency-domain analysis of three-dimensional structures involving near-zero-index (NZI) materials with very small permittivity and/or permeability values. Accurate simulations are required to analyze these homogenized models that represent metamaterials with exotic NZI properties, which can be useful in a plethora of applications. When traditional solution methods are directly applied, however, instability and inaccuracy issues arise, making solutions inefficient and inaccurate particularly when electrically large models need to be studied. Identifying that numerical problems are due to unbalanced equations, extremely small/large terms, as well as the traditional low-frequency breakdown, we develop alternative implementations based on novel surface integral equations and broadband multilevel fast multipole algorithm. Numerical examples demonstrate excellent accuracy, stability, and efficiency of the developed solvers for NZI structures.

Subject Keywords

Integral-Equation, Scattering, Surface

URI

https://hdl.handle.net/11511/39036

DOI

https://doi.org/10.1109/iceaa.2019.8879249

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

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...
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...
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...
Fast-Multipole-Method Solutions of New Potential Integral Equations Gür, Uğur Meriç; Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2017-09-27) A recently introduced potential integral equations for stable analysis of low-frequency problems involving dense discretizations with respect to wavelength are solved by using the fast multipole method (FMM). Two different implementations of FMM based on multipoles and an approximate diagonalization employing scaled plane waves are developed and used for rigorous solutions of low-frequency problems. Numerical results on canonical problems demonstrate excellent stability and solution capabilities of both imp...
Rigorous solutions of large-scale dielectric problems with the parallel multilevel fast multipole algorithm Ergül, Özgür Salih (2011-08-20) We present fast and accurate solutions of large-scale electromagnetics problems involving three-dimensional homogeneous dielectric objects. Problems are formulated rigorously with the electric and magnetic current combined-field integral equation (JMCFIE) and solved iteratively with the multilevel fast multipole algorithm (MLFMA). In order to solve large-scale problems, MLFMA is parallelized efficiently on distributed-memory architectures using the hierarchical partitioning strategy. Efficiency and accuracy...

Citation Formats

B. Karaosmanoglu, Y. Koyaz, H. İbili, and Ö. S. Ergül, “Fast and accurate analysis of three-dimensional structures involving near-zero-index materials,” 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39036.