Monte Carlo Integration Technique for Method of Moments Solution of EFIE in Scattering Problems
Mrinal MISHRA, Nisha GUPTA
DOI: 10.4236/jemaa.2009.14039   PDF    HTML   XML   8,933 Downloads   14,804 Views   Citations


An integration technique based on use of Monte Carlo Integration is proposed for Method of Moments solution of Electric Field Integral Equation. As an example numerical analysis is carried out for the solution of the integral equation for unknown current distribution on metallic plate structures. The entire domain polynomial basis functions are employed in the MOM formulation which leads to only small number of matrix elements thus saving significant computer time and storage. It is observed that the proposed method not only provides solution of the unknown current distribution on the surface of the metallic plates but is also capable of dealing with the problem of singularity efficiently.

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M. MISHRA and N. GUPTA, "Monte Carlo Integration Technique for Method of Moments Solution of EFIE in Scattering Problems," Journal of Electromagnetic Analysis and Applications, Vol. 1 No. 4, 2009, pp. 254-258. doi: 10.4236/jemaa.2009.14039.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] R. F. Harrington, “Field computation by moment methods,” New York, Macmillan, 1968.
[2] C. A. Balanis, “Antenna theory: Analysis and design,” Harper & Row, New York, pp. 283–321. 1982.
[3] C. M. Bulter and D. R. Wilton, “Analysis of various numerical techniques applied to thin-wire scatterers,” IEEE Transactions, Vol. AP–23, No. 4, pp. 524–540, 1975.
[4] B. M. Notaros and B. D. Popovic, “General entire-domain method for analysis of dielectric scatterers,” IEE Proceedings - Microwaves, Antennas and Propagation, Vol. 143, No. 6, pp. 498–504, 1996.
[5] M. Djordjevic and B. M. Notaros, “Double higher order method of moments for surface integral equation modeling of metallic and dielectric antennas and scatterers,” IEEE Transactions on Antennas and Propagation, Vol. 52, No. 8, pp. 2118–2129, 2004.
[6] W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, “Numerical recipes, second edition,” Cambridge University Press, 1992.
[7] M. N. O. Sadiku, “Numerical techniques in electromagnetics,” CRC Press, New York.
[8] B. M. Kolund?ija, “Accurate solution of square scatterer as benchmark for validation of electromagnetic modeling of plate structures,” IEEE Transactions on Antennas and Propagation, Vol. 46, No. 7, pp. 1009–1014, 1998.
[9] T. Pillards, “Quasi-Monte Carlo integration over a simplex and the entire space,” Ph. D. Thesis, Katholieke Universiteit Leuven, Belgium, ISBN 90–5682–741–3, 2006.
[10] J. Hartinger, R. F. Kainhofer, and R. F. Tichy, “Quasi- Monte Carlo algorithms for unbounded, weighted integration problems,” Journal of Complexity, Vol. 5, No. 20, pp. 654–668, 2004,
[11] A. B. Owen, “Quasi-Monte Carlo for integrands with point singularities at unknown locations,” Monte Carlo and Quasi-Monte Carlo Methods, pp. 403–418, 2004.
[12] M. Mishra and N. Gupta, “Singularity treatment for integral equations in electromagnetic scattering using Monte Carlo integration technique,” Microwave and Optical Technology Letters, Vol. 50, No. 6, pp. 1619–1623, June 2008.
[13] M. Mishra and N. Gupta, “Monte Carlo integration technique for the analysis of electromagnetic scattering from conducting surfaces,” Progress In Electromagnetics Research, PIER 79, pp. 91–106, 2008.

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