A Robust Scheme for TD-MoM Analysis of Planar PEC Objects

Authors

  • A. Soltani Department of Electrical and Computer Engineering Isfahan University of Technology, Isfahan, 8415683111, Iran
  • Z. H. Firouzeh Department of Electrical and Computer Engineering Isfahan University of Technology, Isfahan, 8415683111, Iran
  • H. R. Karami Department of Electrical Engineering Bu-Ali Sina University, Hamedan, 65178, Iran

Keywords:

Potential integral, singularity, time domain and numerical integration

Abstract

A robust, fast and simple scheme for calculation of potential integrals that encountered singular terms in time domain integral equation (TDIE) for planar PEC scatterers in free space is presented. In this method singular terms of the potential integrals, like other terms, calculated numerically by selecting some points in the source and observation patches in TD-MoM solver. In fact this method cancelled dealing with the singularity of self-terms. The numerical integration of the potential integrals is almost two times faster than other methods that extracted or cancelled singularity of self-terms. Numerical results illustrate the accuracy and simulation time of the proposed technique.

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References

W. C. Gibson, The Method of Moments in Electromagnetics. CRC Press, 2014.

G. Carvajal, D. Duque, and A. Zozaya, “RCS estimation of 3D metallic targets using the moment method and Rao-Wilton-Glisson basis functions,” ACES Journal-Applied Computational Electromagnetics Society, vol. 24, pp. 487, 2009.

G. Manara, A. Monorchio, and R. Reggiannini, “A space-time discretization criterion for a stable time-marching solution of the electric field integral equation,” IEEE Transactions on Antennas and Propagation, vol. 45, pp. 527-532, 1997.

Q.-Q. Wang, C. Yan, Y.-F. Shi, D.-Z. Ding, and R.- S. Chen, “Transient analysis of electromagnetic scattering using marching-on-in-order time-domain integral equation method with curvilinear RWG basis functions,” ACES Journal-Applied Computational Electromagnetics Society, vol. 26, pp. 429- 436, 2011.

R. F. Harrington and J. L. Harrington, Field Computation by Moment Methods. Oxford University Press, 1996.

I. Hanninen, M. Taskinen, and J. Sarvas, “Singularity subtraction integral formulae for surface integral equations with RWG, rooftop and hybrid basis functions,” Progress In Electromagnetics Research, vol. 63, pp. 243-278, 2006.

M. A. Khayat and D. R. Wilton, “Numerical evaluation of singular and near-singular potential Integrals,” IEEE Transactions on Antennas and Propagation, vol. 53, pp. 3180-3190, 2005.

M. G. Duffy, “Quadrature over a pyramid or cube of integrands with a singularity at a vertex,” SIAM Journal on Numerical Analysis, vol. 19, pp. 1260- 1262, 1982.

A. Azari, Z. H. Firouzeh, and A. ZeidaabadiNezhad, “A new efficient technique for transient scattering of conducting cylinders illuminated by a TM-polarized plane wave,” IEEE Antennas and Wireless Propagation Letters, vol. 13, pp. 1421- 1424, 2014.

Z.-J. Qiu, J.-D. Xu, G. Wei, and X.-Y. Hou, “An improved time domain finite element-boundary integral scheme for electromagnetic scattering from 3-D objects,” Progress In Electromagnetics Research, vol. 75, pp. 119-135, 2007.

M. J. Bluck, M. D. Pocock, and S. P. Walker, “An accurate method for the calculation of singular integrals arising in time-domain integral equation analysis of electromagnetic scattering,” IEEE Transactions on Antennas and Propagation, vol. 45, pp. 1793-1798, 1997.

A. Herschlein, J. V. Hagen, and W. Wiesbeck, “Methods for the evaluation of regular, weakly singular and strongly singular surface reaction integrals arising in method of moments,” DTIC Document, 2002.

A. Tzoulis and T. F. Eibert, “Review of singular potential integrals for method of moments solutions of surface integral equations,” Advances in Radio Science, vol. 2, pp. 93-99, 2005.

S. N. Makarov, Antenna and EM Modeling with Matlab. New York, Wiley-Interscience, 2002.

S. M. Rao, Time Domain Electromagnetics. Academic Press, 1999.

S. Rao, D. Wilton, and A. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Transactions on Antennas and Propagation, vol. 30, pp. 409-418, 1982.

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Published

2021-08-05

How to Cite

[1]
A. Soltani, Z. H. Firouzeh, and H. R. Karami, “A Robust Scheme for TD-MoM Analysis of Planar PEC Objects”, ACES Journal, vol. 32, no. 03, pp. 256–261, Aug. 2021.

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