Generalized Hybrid Surface Integral Equations for Finite Periodic Perfectly Conducting Objects

Date

2017-01-01

Author

Karaosmanoglu, Bariscan
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

227
views

0
downloads

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 genetic optimizations, are demonstrated. Comparisons to the conventional combined-field integral equation show the benefits of the generalized formulations in terms of accuracy and efficiency.

Subject Keywords

Hybrid Formulations, Iterative Solutions, Method Of Moments (MOM), Surface Integral Equations

URI

https://hdl.handle.net/11511/37975

Journal

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS

DOI

https://doi.org/10.1109/lawp.2016.2621019

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Comparison of Integral-Equation Formulations for the Fast and Accurate Solution of Scattering Problems Involving Dielectric Objects with the Multilevel Fast Multipole Algorithm Ergül, Özgür Salih (2009-01-01) We consider fast and accurate solutions of scattering problems involving increasingly large dielectric objects formulated by surface integral equations. We compare various formulations when the objects are discretized with Rao-Wilton-Glisson functions, and the resulting matrix equations are solved iteratively by employing the multilevel fast multipole algorithm (MLFMA). For large problems, we show that a combined-field formulation, namely, the electric and magnetic current combined-field integral equation (...
Modified Combined Tangential Formulation for Stable and Accurate Analysis of Plasmonic Structures Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2017-03-30) 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 ca...
Hybrid Surface Integral Equations for Optimal Analysis of Perfectly Conducting Bodies Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2015-07-24) We consider hybrid formulations involving simultaneous applications of the electric-field integral equation (EFIE), the magnetic-field integral equation (MFIE), and the combined-field integral equation (CFIE) for the electromagnetic analysis of three-dimensional conductors with arbitrary geometries. By selecting EFIE, MFIE, and CFIE regions on a given object, and optimizing these regions in accordance with the simulation requirements, one can construct an optimal hybrid-field integral equation (HFIE) that p...
Linear-linear basis functions for MLFMA solutions of magnetic-field and combined-field integral equations Ergül, Özgür Salih (2007-04-01) We present the linear-linear (LL) basis functions to improve the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) for three-dimensional electromagnetic scattering problems involving closed conductors. We consider the solutions of relatively large scattering problems by employing the multilevel fast multipole algorithm. Accuracy problems of MFIE and CFIE arising from their implementations with the conventional Rao-Wilton-Glisson (RWG) basis functions can...
Combined Potential-Field Surface Formulations for Resonance-Free and Low-Frequency-Stable Analyses of Three-Dimensional Closed Conductors Eris, Ozgur; Karaova, Gokhan; Ergül, Özgür Salih (2021-03-22) We present combined formulations involving the recently developed potential integral equations (PIEs) together with field formulations, particularly the magnetic-field integral equation (MFIE), for accurate, efficient, and stable analyses of three-dimensional closed conductors. This kind of combinations are required since PIEs suffer from internal resonances and are prone to numerical issues for relatively large conductors. By combining PIEs with MFIE, we obtain low-frequency-stable implementations that can...

Citation Formats

B. Karaosmanoglu and Ö. S. Ergül, “Generalized Hybrid Surface Integral Equations for Finite Periodic Perfectly Conducting Objects,” IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, pp. 1068–1071, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37975.