Superior Accuracy of the Normally-integrated MFIE Compared to the Traditional MFIE

Authors

  • Andrew F. Peterson School of Electrical and Computer Engineering Georgia Institute of Technology, Atlanta, GA 30332-0250, USA
  • Malcolm M. Bibby School of Electrical and Computer Engineering Georgia Institute of Technology, Atlanta, GA 30332-0250, USA

DOI:

https://doi.org/10.13052/2024.ACES.J.400403

Keywords:

Electromagnetic scattering, method of moments, numerical techniques, radar cross section, scattering cross section

Abstract

An alternative method of moments discretization of the magnetic field integral equation (MFIE) uses testing functions inside the target and in a plane normal to the target surface. This approach is adapted to targets modeled with flat-faceted patches. A comparison with traditional numerical solutions of the MFIE that use testing functions on the target surface shows that the normally-integrated MFIE formulation produce far fields that are more accurate than those obtained from the traditional MFIE. The alternate approach can be made free from internal resonances and that approach is often more accurate than the combined field integral equation.

Downloads

Download data is not yet available.

Author Biographies

Andrew F. Peterson, School of Electrical and Computer Engineering Georgia Institute of Technology, Atlanta, GA 30332-0250, USA

Andrew F. Peterson received the B.S., M.S., and Ph.D. degrees in Electrical Engineering from the University of Illinois, Urbana-Champaign, USA. Since 1989, he has been a member of the faculty of the School of Electrical and Computer Engineering at the Georgia Institute of Technology, where he is a full Professor. Within ACES, he has served at various times as a member of the Board of Directors, the Finance Committee Chair, the Publications Committee Chair, and the President. He was elevated to ACES Fellow in 2008.

Malcolm M. Bibby, School of Electrical and Computer Engineering Georgia Institute of Technology, Atlanta, GA 30332-0250, USA

Malcolm M. Bibby received the B.Eng. and Ph.D. degrees in Electrical Engineering from the University of Liverpool, UK, in 1962 and 1965, respectively, and an MBA from the University of Chicago, USA. He is currently an Adjunct Professor in ECE at Georgia Tech. He has been interested in the numerical aspects of antenna design and electromagnetics for more than 40 years.

References

S. M. Rao, D. R. Wilton, and A. W. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Trans. Antennas Propagat., vol. AP-30, no. 3, pp. 409-418, May 1982.

A. E. Ofluoglu, T. Ciftci, and O. Ergul, “Magnetic field integral equation,” IEEE Antennas and Propagation Magazine, vol. 57, no. 4, pp. 134-142, 2015.

A. F. Peterson, “The interior resonance problem associated with surface integral equations of electromagnetics: Numerical consequences and a survey of remedies,” Electromagnetics, vol. 10, no. 3, pp. 293-312, 1990.

A. F. Peterson and M. M. Bibby, An Introduction to the Locally-corrected Nyström Method. San Raphael: Morgan and Claypool Synthesis Lectures, 2010.

O. Ergul and L. Gurel, “Improving the accuracy of the magnetic field integral equation with linear-linear basis functions,” Radio Science, vol. 41, no. 4, RS4004, 2006.

A. F. Peterson, “Observed baseline convergence rates and superconvergence in the scattering cross section obtained from numerical solutions of the MFIE,” IEEE Trans. Antennas Propagat., vol. 56, no. 11, pp. 3510-3515, Nov. 2008.

M. M. Bibby and A. F. Peterson, “Elimination of the derivatives from the conventional MFIE operator,” in Proceedings of the 22nd

Annual Review of Progress in Applied Computational Electromagnetics, Miami, FL, pp. 359-364, Mar. 2006.

M. M. Bibby, C. M. Coldwell, and A. F. Peterson, “Normally-integrated magnetic field integral equations for electromagnetic scattering,” IEEE Trans. Antennas Propagat., vol. 55, no. 9, pp. 2530-2536, 2007.

M. M. Bibby, C. M. Coldwell, and A. F. Peterson, “A high order numerical investigation of electromagnetic scattering from a torus and a circular loop,” IEEE Trans. Antennas Propagat., vol. 61, no. 7, pp. 3656-3661, 2013.

A. F. Peterson and M. M. Bibby, “Performance of the normally-integrated magnetic field integral equation for flat faceted surfaces,” in International Conference on Electromagnetics in Advanced Applications (ICEAA 23), Venice, Italy, Oct.2023.

A. F. Peterson and M. M. Bibby, “Superior far field accuracy of the normally-integrated MFIE compared to the conventional MFIE for flat-faceted targets,” in International Applied Computational Electromagnetics Society (ACES) Symposium, Orlando, FL, May 2024.

M. B. Woodworth and A. D. Yaghjian, “Multiwavelength three-dimensional scattering with dual-surface integral equations,” J. Opt. Soc. Am. A., vol. 11, no. 4, pp. 1399-1413, Apr. 1994.

A. F. Peterson, D. R. Wilton, and R. E. Jorgenson, “Variational nature of Galerkin and non-Galerkin moment method solutions,” IEEE Trans. Antennas Propagat., vol. 44, no. 4, pp. 500-503, Apr. 1996.

S. K. Kim and A. F. Peterson, “Adaptive h-refinement for the RWG based EFIE,” IEEE J. Multiscale and Multiphysics Comp. Tech., vol. 3, pp. 58-65, June 2018.

A. F. Peterson, “Integral equation residuals for error estimation and internal resonance detection,” IEEE Trans. Antennas Propagat., vol. 71, no. 12, pp. 9326-9333, Dec. 2023.

M. E. Kowalski, B. Singh, L. C. Kempel, K. D. Trott, and J.-M. Jin, “Application of the integral equation-asymptotic phase (IE-AP) method to three-dimensional scattering,” J. Electromagnetic Waves Appl., vol. 15, pp. 885-900, July 2001.

Downloads

Published

2025-04-30

How to Cite

[1]
A. F. . Peterson and M. M. . Bibby, “Superior Accuracy of the Normally-integrated MFIE Compared to the Traditional MFIE”, ACES Journal, vol. 40, no. 04, pp. 302–308, Apr. 2025.

Issue

Section

Special issue on ACES-Orlando Conference 2024

Categories