Modified Combined Tangential Formulation for Stable and Accurate Analysis of Plasmonic Structures

2017-03-30
Karaosmanoglu, Bariscan
Ergül, Özgür Salih
We present a modified combined tangential formulation (MCTF) for stable solutions of plasmonic problems involving metallic objects that are modeled as penetrable structures. For a wide range of negative real permittivity values, corresponding to the varying characteristics of the metals at infrared and visible frequencies, MCTF provides both accurate and efficient solutions in comparison to the conventional formulations. We explain the stability of MCTF in terms of the discretized operators for the limit case and demonstrate its stability on canonical scattering problems involving plasmonic spheres.

Suggestions

Modified Combined Tangential Formulation for Stable and Accurate Analysis of Plasmonic Structures
Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2019-05-01)
We consider a modified combined tangential formulation (MCTF) for stable and accurate analysis of plasmonic problems involving metallic objects modeled as penetrable bodies. For a wide range of negative real permittivity values, corresponding to varying characteristics of metals at THz, infrared, and visible frequencies, MCTF provides accurate solutions in comparison to the conventional formulations for penetrable objects. We further show that, for structures with subwavelength dimensions, penetrable models...
Generalized Hybrid Surface Integral Equations for Finite Periodic Perfectly Conducting Objects
Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2017-01-01)
Hybrid formulations that are based on simultaneous applications of diversely weighted electric-field integral equation (EFIE) and magnetic-field integral equation (MFIE) on periodic but finite structures involving perfectly conducting surfaces are presented. Formulations are particularly designed for closed conductors by considering the unit cells of periodic structures as sample problems for optimizing EFIE and MFIE weights in selected regions. Three-region hybrid formulations, which are designed by geneti...
Novel SIE formulations for accurate and stable analysis of near-zero-index materials
KARAOSMANOGLU, BARISCAN; OZMU, UTKU; Ergül, Özgür Salih (2019-07-01)
© 2019 IEEE.We present surface-integral-equation formulations for accurate and stable solutions of electromagnetic problems involving near-zero-index materials with arbitrarily small permittivity and/or permeability values. The formulations are developed for conventional discretizations, while they can be implemented by using interaction routines of existing solvers. Initial results on canonical objects clearly demonstrate the superiority of the developed formulations in comparison to the conventional ones.
Accuracy of Sources and Near-Zone Fields When Using Potential Integral Equations at Low Frequencies
Gur, Ugur Meric; Ergül, Özgür Salih (2017-01-01)
We consider method-of-moments solutions of the recently developed potential integral equations (PIEs) for low-frequency electromagnetic problems involving perfectly conducting objects. The electric current density, electric charge density, and near-zone fields calculated by using PIEs are investigated at low frequencies, in contrast to those obtained via the conventional electric-field integral equation (EFIE). We show that: 1) the charge density can accurately be found by using EFIE despite the very poor a...
Implementation of the equivalence principle algorithm for potential integral equations
Farshkaran, Ali; Ergül, Özgür Salih; Department of Electrical and Electronics Engineering (2018)
In this thesis, a domain decomposition method based on the Huygens' principle for integral equations is studied. Step-by-step development of equivalence principle algorithm (EPA) is described for solving arbitrary shaped perfect electric conductor (PEC) and penetrable objects. The main advantage of EPA is its efficiency thanks to the enhanced conditioning hence accelerated iterative solutions of the matrix equations derived from discretizations. For further enhancing the efficiency, the multilevel fast mult...
Citation Formats
B. Karaosmanoglu and Ö. S. Ergül, “Modified Combined Tangential Formulation for Stable and Accurate Analysis of Plasmonic Structures,” 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53335.