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Improving the Accuracy of MFIE and CFIE by Using Numerically Designed Testing Functions
Date
2016-07-01
Author
Karaosmanoglu, Bariscan
Ergül, Özgür Salih
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We present a novel approach for improving the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) by using numerically designed testing functions. The compatibility of the MFIE and CFIE systems with the corresponding one derived from the electric-field integral equation (EFIE) is used to determine testing weights in given templates of testing directions. The designed testing functions lead to more accurate solutions in comparison to the standard discretizations of MFIE and CFIE with the Rao-Wilton-Glisson functions. While providing significant improvements, the proposed approach is easy to implement without needing fundamental modifications in the existing implementations. A straightforward procedure is presented, where the testing weights that are determined directly at a frequency is used for frequency sweeps.
Subject Keywords
Programming
,
Method of moments
,
Standards
,
Antennas
,
Scattering
,
Integral equations
,
Testing
URI
https://hdl.handle.net/11511/35817
DOI
https://doi.org/10.1109/aps.2016.7695867
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar
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Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2016-04-15)
We present a novel numerical approach to design testing functions for the magnetic-field integral equation (MFIE). Enforcing the compatibility of matrix equations derived from MFIE and the electric-field integral equation (EFIE) for the same problem, testing weights for MFIE are determined on given templates of testing functions. The resulting MFIE systems produce more accurate results that the conventional MFIE implementations, without increasing the number of iterations and processing time. The design pro...
Improving the accuracy of the MFIE with the choice of basis functions
Ergül, Özgür Salih (2004-06-26)
In the method-of-moments (MOM) and the fast-multipole-method (FMM) solutions of the electromagnetic scattering problems modeled by arbitrary planar triangulations, the magnetic-field integral equation (MFIE) can be observed to give less accurate results compared to the electric-field integral equation (EFIE), if the current is expanded with the Rao-Wilton-Glisson (RWG) basis functions. The inaccuracy is more evident for problem geometries with sharp edges or tips. This paper shows that the accuracy of the M...
On the accuracy of MFIE and CFIE in the solution of large electromagnetic scattering problems
Ergül, Özgür Salih (null; 2006-11-10)
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Numerical Constructions of Testing Functions for Improving the Accuracy of MFIE and CFIE in Multi-Frequency Applications
Karaosmanoglu, Bariscan; Altinoklu, Askin; Ergül, Özgür Salih (EMW Publishing, 2016-01-01)
We present a new approach based on numerical constructions of testing functions for improving the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) with low-order discretizations. Considering numerical solutions, testing functions are designed by enforcing the compatibility of the MFIE systems with the accurate coefficients obtained by solving the electric-field integral equation (EFIE). We demonstrate the accuracy improvements on scattering problems, wh...
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...
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B. Karaosmanoglu and Ö. S. Ergül, “Improving the Accuracy of MFIE and CFIE by Using Numerically Designed Testing Functions,” 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35817.
