Superior Accuracy of the Normally-integrated MFIE Compared to the Traditional MFIE
DOI:
https://doi.org/10.13052/2024.ACES.J.400403Keywords:
Electromagnetic scattering, method of moments, numerical techniques, radar cross section, scattering cross sectionAbstract
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.
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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.


