On the Accuracy and Efficiency of Surface Formulations in Fast Analysis of Plasmonic Structures via MLFMA

Date

2016-08-11

Author

Karaosmanoglu, B.
Yılmaz, Ayşen
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

25
views

0
downloads

We consider the accuracy and efficiency of surface integral equations, when they are used to formulate electromagnetic problems involving plasmonic objects at optical frequencies. Investigations on the iterative solutions of scattering problems with the multilevel fast multipole algorithm show that the conventional formulations, especially the state-of-the-art integral equations, can significantly be inaccurate, in contrast to their performances for ordinary dielectrics. The varying performances of the formulations with strong dependency on the material properties explain conflicting results in the literature. Based on our observations, we also present improved formulations that can provide both accurate and efficient solutions of plasmonic problems.

Subject Keywords

Integral-equation formulations, Electromagnetic scattering

URI

https://hdl.handle.net/11511/54598

Collections

Graduate School of Natural and Applied Sciences, Conference / Seminar

Suggestions

OpenMETU
Core

On the accuracy and efficiency of surface formula tions in fast analysis of plasmonic structures via MLFMA Karaosmanoglu, Barıscan; Yılmaz, Akıf; Ergül, Özgür Salih (null; 2016-08-11) We consider the accuracy and efficiency of surface integral equations, when they are used to formulate electromagnetic problems involving plasmonic objects at optical frequencies. Investigations on the iterative solutions of scattering problems with the multilevel fast multipole algorithm show that the conventional formulations, especially the state-of-the-art integral equations, can significantly be inaccurate, in contrast to their performances for ordinary dielectrics. The varying performances of the form...
Analysis of Lossy Dielectric Objects with the Multilevel Fast Multipole Algorithm Ergül, Özgür Salih (2011-07-08) Rigorous solutions of electromagnetics problems involving lossy dielectric objects are considered. Problems are formulated with two recently developed formulations, namely, the combined-tangential formulation (CTF) and the electric and magnetic current combined-field integral equation (JMCFIE), and solved iteratively using the multilevel fast multipole algorithm (MLFMA). Accuracy and efficiency of solutions are compared for different objects and conductivity values. We show that iterative solutions of CTF a...
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...
On the Accuracy of Spectral Element Method in Electromagnetic Scattering Problems Mahariq, İbrahim; Tarman, Işık Hakan; Kuzuoğlu, Mustafa (2014-12-01) Spectral element method (SEM), which is known of its high accuracy, has been recently applied in solving electromagnetic problems governed by Maxwell’s equations. This paper investigates the accuracy of SEM in twodimensional, frequency-domain electromagnetic scattering problems where Helmholtz equation acts as the governing partial differential equation (PDE). As experience in meshing a problem in finite element method is important to obtain accurate results, the choice of elements in SEM, on the other hand...
Improving the accuracy of the surface integral equations for low-contrast dielectric scatterers Ergül, Özgür Salih (2007-06-15) Solutions of scattering problems involving low-contrast dielectric objects are considered by employing surface integral equations. A stabilization procedure based on extracting the non-radiating part of the induced currents is applied so that the remaining radiating currents can be modelled appropriately and the scattered fields from the low-contrast objects can be calculated with improved accuracy. Stabilization is applied to both tangential (T) and normal (N) formulations in order to use the benefits of d...

Citation Formats

B. Karaosmanoglu, A. Yılmaz, and Ö. S. Ergül, “On the Accuracy and Efficiency of Surface Formulations in Fast Analysis of Plasmonic Structures via MLFMA,” 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54598.