FAST AND ACCURATE ANALYSIS OF LARGE METAMATERIAL STRUCTURES USING THE MULTILEVEL FAST MULTIPOLE ALGORITHM

Download
2009-01-01
Guerel, L.
Ergül, Özgür Salih
Uenal, A.
Malas, T.
We report fast and accurate simulations of metamaterial structures constructed with large numbers of unit cells containing split-ring resonators and thin wires. Scattering problems involving various metamaterial walls are formulated rigorously using the electric-field integral equation, discretized with the Rao-Wilton-Glisson basis functions. Resulting dense matrix equations are solved iteratively,where the matrix-vector multiplications are performed efficiently with the multilevel fast multipole algorithm. For rapid solutions at resonance frequencies, convergence of the iterations is accelerated by using robust preconditioning techniques, such as the sparse-approximate-inverse preconditioner. Without resorting to homogenization approximations and periodicity assumptions, we are able to obtain accurate solutions of realistic metamaterial problems discretized with millions of unknowns.
PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER

Suggestions

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...
Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners
Ergül, Özgür Salih; Yavuz, Ç.; Ünal, A.; Gürel, L. (2007-11-16)
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 m...
Improved Nano-optical Traps for Single-particle Sensing Applications
Isiklar, G.; Algun, M.; Ergül, Özgür Salih (2019-01-01)
We present numerical design and simulations of nano-optical traps for single-particle sensing applications. While commonly used nano-holes with circular shapes are suitable for physically trapping nanoparticles to be detected and identified, they generate relatively weak signals in the far zone, especially when nanoparticles are small. We show that optical sensitivity of nano-holes can be enhanced significantly by using well-designed tip geometries such that metallic and dielectric nanoparticles can be dete...
DESIGN AND SIMULATION OF CIRCULAR ARRAYS OF TRAPEZOIDAL-TOOTH LOG-PERIODIC ANTENNAS VIA GENETIC OPTIMIZATION
Gurel, L.; Ergül, Özgür Salih (2008-01-01)
Circular arrays of log-periodic (LP) antennas are designed and their operational properties are investigated in a sophisticated simulation environment that is based on the recent advances in computational electromagnetics. Due to the complicated structures of the trapezoidal-tooth array elements and the overall array configuration, their analytical treatments are prohibitively difficult. Therefore, the simulation results presented in this paper are essential for their analysis and design. We present the des...
Fast and Accurate Analysis of Homogenized Metamaterials With the Surface Integral Equations and the Multilevel Fast Multipole Algorithm
Ergül, Özgür Salih (2011-01-01)
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. Ite...
Citation Formats
L. Guerel, Ö. S. Ergül, A. Uenal, and T. Malas, “FAST AND ACCURATE ANALYSIS OF LARGE METAMATERIAL STRUCTURES USING THE MULTILEVEL FAST MULTIPOLE ALGORITHM,” PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, pp. 179–198, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33238.