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

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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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Novel strategies for second-kind integral equations to analyze perfect electric conductors Güler, Sadri; Ergül, Özgür Salih; Department of Electrical and Electronics Engineering (2019) 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) We present a new method to mitigate internal resonances of the magnetic-field integral equation (MFIE) for closed conductors, without combining this equation with the electric-field integral equation (EFIE) that is commonly practiced in the literature. For a given object and its surface, a smaller closed surface is placed inside to create a double layer. This way, the magnetic field intensity is enforced to zero on the inner surface, making the overall solution unique at all frequencies. By eliminating the ...
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...
On the accuracy of MFIE and CFIE in the solution of large electromagnetic scattering problems Ergül, Özgür Salih (null; 2006-11-10) 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 ...

Citation Formats

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.