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Combined Potential-Field Surface Formulations for Resonance-Free and Low-Frequency-Stable Analyses of Three-Dimensional Closed Conductors
Date
2021-03-22
Author
Eris, Ozgur
Karaova, Gokhan
Ergül, Özgür Salih
Metadata
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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 be employed at both low and high frequencies without any resonance artifacts in numerical results.
Subject Keywords
Potential integral equations
,
Magnetic-field integral equation
,
Internal resonance
,
Low-frequency breakdown
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85105512570&origin=inward
https://hdl.handle.net/11511/90851
DOI
https://doi.org/10.23919/eucap51087.2021.9411352
Conference Name
15th European Conference on Antennas and Propagation, EuCAP 2021
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar
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In this thesis, the magnetic-field integral equation (MFIE) for three-dimensional perfectly conducting objects is studied with a particular focus on the solutions of the formulation with the method of moments employing low-order discretization elements. Possible discretization functions and their applications in the testing of MFIE while considering different numbers of testing points are analyzed for accurate and efficient solutions. Successful results are obtained by using rotational Buffa-Christiansen te...
Mitigating internal resonances of the magnetic-field integral equation via double-layer modeling
Güler, Sadri; İbili, Hande; Ergül, Özgür Salih (Institution of Engineering and Technology; 2018-04-13)
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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...
On the accuracy of MFIE and CFIE in the solution of large electromagnetic scattering problems
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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 large scatterers. MFIE and CFIE with the conventional Rao-Wilton-Glisson (RWG) basis functions are significantly inaccurate even for large and smooth geometries, such as a sphere, compared to the solutions by the electric-field integral equation (EFIE). By using the LL funct...
Accurate and Efficient Solutions of Densely Discretized Closed Conductors Using a Combined Potential-Field Formulation
Karaova, Gokhan; Eris, Ozgur; Ergül, Özgür Salih (2021-01-01)
We present an accurate, efficient, and stable formulation for rigorous analyses of electromagnetic problems involving closed conductors. The formulation, namely the combined potential-field formulation (CPFF), is constructed from the conventional potential integral equations and the magnetic-field integral equation, together with an additional integral equation using the boundary condition for the normal component of the magnetic vector potential. Being both low-frequency-stable and resonance-free, CPFF is ...
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O. Eris, G. Karaova, and Ö. S. Ergül, “Combined Potential-Field Surface Formulations for Resonance-Free and Low-Frequency-Stable Analyses of Three-Dimensional Closed Conductors,” presented at the 15th European Conference on Antennas and Propagation, EuCAP 2021, Düsseldorf, Almanya, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85105512570&origin=inward.
