A Novel Combined Potential-Field Formulation for Densely Discretized Perfectly Conducting Objects

2022-01-01
Eris, Ozgur
Karaova, Gokhan
Ergül, Özgür Salih
IEEEWe present a novel surface-integral-equation formulation that provides broadband solutions of electromagnetic problems involving perfectly conducting objects. The formulation, namely the combined potential-field formulation (CPFF), is based on a well-balanced combination of the conventional potential integral equations, the magnetic-field integral equation, and an additional potential integral equation involving magnetic vector potential. In addition to being stable for dense discretizations, CPFF is free of internal resonances, and it enables accurate and efficient solutions of large-scale closed conductors using conventional basis and testing functions. Numerical results demonstrate that CPFF clearly outperforms other formulations, including the popular combined-field integral equation, for densely discretized objects comparable to or larger than wavelength.
IEEE Transactions on Antennas and Propagation

Suggestions

A Broadband Electromagnetic Solver Based on Multiscale MLFMA and Hybrid Integral Equations
Karaosmanoglu, Bariscan; Tonga, Muhammed; Ergül, Özgür Salih (2018-11-02)
We present a fully broadband solver for fast and accurate solutions of multiscale electromagnetic problems involving both coarse and fine details. The implementation is based on a multiscale multilevel fast multipole algorithm that employs low-frequency and high-frequency expansions at suitable levels of incomplete tree structures. In addition, hybrid integral equations are used to properly formulate scattering and radiation problems in the frequency domain. Numerical results demonstrate the superior accura...
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 ...
A Comparative Study of Surface Integral Equations for Accurate and Efficient Analysis of Plasmonic Structures
Karaosmanoglu, Bariscan; Yilmaz, Akif; Ergül, Özgür Salih (2017-06-01)
Surface integral equations, which are commonly used in electromagnetic simulations, have recently been applied to various plasmonic problems, while there is still no complete agreement on which formulations provide accurate and efficient solutions. In this paper, we present the strong material dependences of the conventional formulations, revealing their contradictory performances for different problems. We further explain the numerical problems in the constructed matrix equations, shedding light on the des...
A novel surface-integral-equation formulation for efficient and accurate electromagnetic analysis of near-zero-index structures
İbili, Hande; Ozmu, Utku; Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2022-03-01)
We consider accurate and iteratively efficient solutions of electromagnetic problems involving homogenized near-zero-index (NZI) bodies using surface-integral-equation formulations in the frequency domain. NZI structures can be practically useful in a plethora of optical applications, as they possess near-zero permittivity and/or permeability values that cannot be found in nature. Hence, numerical simulations are of the utmost importance for rigorous design and analysis of NZI structures. Unfortunately, sma...
Fast and accurate solutions of electromagnetics problems involving lossy dielectric objects with the multilevel fast multipole algorithm
Ergül, Özgür Salih (2012-03-01)
Fast and accurate solutions of electromagnetic scattering 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). Iterative solutions and accuracy of the results are investigated in detail for diverse geometries, frequencies, and con...
Citation Formats
O. Eris, G. Karaova, and Ö. S. Ergül, “A Novel Combined Potential-Field Formulation for Densely Discretized Perfectly Conducting Objects,” IEEE Transactions on Antennas and Propagation, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85124095158&origin=inward.