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2009-06-23
Application of Quasi Monte Carlo Integration Technique in EM Scattering from Finite Cylinders
By
Progress In Electromagnetics Research Letters, Vol. 9, 109-118, 2009
Abstract
In this work, a Quasi Monte Carlo (QMC) Integration Technique using Halton Sequence is proposed for the Electric Field Integral Equation (EFIE) in the Method of Moments (MoM) solution for scattering problems. It is found that the Halton Sequence used in QMC integration scheme is capable of handling the singularity issue in the EFIE automatically and at the same time provides solution to the scattering problems very easily. Finally the proposed technique is applied to solve the scattering problem from a finite cylinder employing the entire domain basis function expansions. The results obtained show a good agreement between the proposed and conventional technique.
Citation
Mrinal Mishra, and Nisha Gupta, "Application of Quasi Monte Carlo Integration Technique in EM Scattering from Finite Cylinders," Progress In Electromagnetics Research Letters, Vol. 9, 109-118, 2009.
doi:10.2528/PIERL09050806
References

1. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, 2 Ed., Cambridge University Press, 1992.

2. Ripley, B. D., Stochastic Simulation, John Wiley & Sons, Inc., 1987.

3. Niederreiter, H., Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Pennsylvania, 1992.

4. Cai, W., Y. Yu, and X. C. Yu, "Singularity treatment and high-order RWG basis functions for integral equations of electromagnetic scattering," Int. J. Numerical Methods Eng., Vol. 53, 31-47, 2002.
doi:10.1002/nme.390

5. Duffy, M. G., "Quadrature over a pyramid or cube of integrands with a singularity at a vertex," SIAM Journal on Numerical Analysis, Vol. 19, 1260-1262, December 1982.
doi:10.1137/0719090

6. Khayat, M. A. and D. R. Wilton, "Numerical evaluation of singular and near-singular potential integrals," IEEE Trans. Antennas Propagat., Vol. 53, No. 10, 3180-3190, October 2005.
doi:10.1109/TAP.2005.856342

7. Mishra, M. 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, 1619-1623, June 2008.
doi:10.1002/mop.23457

8. Mishra, M. and N. Gupta, "Monte Carlo integration technique for the analysis of electromagnetic scattering from conducting surfaces," Progress In Electromagnetic Research, Vol. 79, 91-106, 2008.
doi:10.2528/PIER07092005

9. Halton, J. H., "On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals," Numer. Math., Vol. 2, 84-196, 1996.

10. Mishra, M., N. Gupta, A. Dubey, and S. Shekhar, "Application of quasi Monte Carlo integartion technique in efficient capacitance computation," Progress In Electromagnetics Research, Vol. 90, 309-322, 2009.
doi:10.2528/PIER09011310