2016-12-06
Analysis of Scattering from Composite Conductor and Dielectric Objects Using Single Integral Equation Method and MLFMA Based on JMCFIE
By
Progress In Electromagnetics Research M, Vol. 52, 141-152, 2016
Abstract
A highly efficient hybrid method of single integral equation (SIE) and electric/magnetic current combined field integral equation (JMCFIE) is presented, named as SJMCFIE, for analysing scattering from composite conductor and dielectric objects, in which, SIE can reduce one half unknowns in dielectric region. The resultant matrix equation of SJMCFIE can be represented in the iteration form, which makes the computation complexity reduced further, and coupling mechanism of composite model becomes more explicit. For accelerating matrix-vector multiplications (MVMs), Multilevel Fast Multipole Algorithm (MLFMA) is employed to combine SJMCFIE to formulate SJMCFIE-MLFMA at last, which is the extension of SIE-MLFMA in the proposed reference. Finally, some examples verify the new hybrid method on accuracy, memory storage, computation efficiency compared to SIE-MLFMA and JMCFIE-MLFMA. Besides, SJMCFIE-MLFMA can also be used to analyse the complete coated model's scattering.
Citation
Hua-Long Sun, Chuang-Ming Tong, and Peng Peng, "Analysis of Scattering from Composite Conductor and Dielectric Objects Using Single Integral Equation Method and MLFMA Based on JMCFIE," Progress In Electromagnetics Research M, Vol. 52, 141-152, 2016.
doi:10.2528/PIERM16081306
References

1. Harrington, R. F., Field Computation by Moment Methods, Oxford University Press, 1996.

2. Peterson, A. and R. Mittra, "Convergence of the conjugate gradient method when applied to matrix equaitions representing electromagnetic scattering problems," IEEE Trans. Antennas Propag., Vol. 34, No. 12, 1447-1454, 1986.
doi:10.1109/TAP.1986.1143780        Google Scholar

3. Volakis, J. L. and K. Sertel, Integral Equation Methods for Electromagnetics, SciTech Publishing, 2012.

4. Ylä-Oijala, P. and M. Taskinen, "Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects," IEEE Trans. Antennas Propag., Vol. 53, No. 3, 1168-1173, 2005.
doi:10.1109/TAP.2004.842640        Google Scholar

5. Ewe, W. B., L. W. Li, and M. S. Leong, "Fast solution of mixed dielectric/conducting scattering problem using volumesurface adaptive integral method," IEEE Trans. Antennas Propag., Vol. 46, No. 11, 3071-3077, 2004.
doi:10.1109/TAP.2004.835147        Google Scholar

6. Eibert, T. F., "Some scattering results computed by surface-integral-equation and hybrid finite-element-boundary-integral techniques, accelerated by the multilevel fast multipole method," IEEE Antennas Propag. Mag., Vol. 49, No. 2, 61-69, 2007.
doi:10.1109/MAP.2007.376638        Google Scholar

7. Ylä-Oijala, P., M. Taskinen, and S. Järvenpää, "Analysis of surface integral equations in electromagnetic scattering and radiation problems," Engineering Analysis with Boundary Elements, Vol. 32, 196209, 2008.        Google Scholar

8. Donepudi, K. C., L. M. Jin, and W. C. Chew, "A higher order multilevel fast multipole algorithm for scattering from mixed conducting/dielectric bodies," IEEE Trans. Antennas Propag., Vol. 2, No. 11, 2814-2821, 2002.        Google Scholar

9. Ylä-Oijala, P., M. Taskinen, and J. Sarvas, "Surface integral equation method for general composite metallic and dielectric structures with junctions," Progress In Electromagnetics Research, Vol. 52, 81-108, 2005.
doi:10.2528/PIER04071301        Google Scholar

10. Ubeda, E., J. M. Tamayo, and J. M. Rius, "Taylor-orthogonal basis functions for the discretization in method of moments of second kind integral equations in the scattering analysis of perfectly conducting or dielectric objects," Progress In Electromagnetics Research, Vol. 119, 85-105, 2011.
doi:10.2528/PIER11051715        Google Scholar

11. Ergül, Ö and L. Gürel, "Fast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithm," J. Opt. Soc. Amer. A, Vol. 30, No. 30, 509-517, 2013.
doi:10.1364/JOSAA.30.000509        Google Scholar

12. Lu, C. C. and Z. Y. Zeng, "Scattering and radiation modeling using hybrid integral approach and mixed mesh element discretization," PIERS Online, Vol. 1, 70-73, 2005.
doi:10.2529/PIERS050128130811        Google Scholar

13. Ylä-Oijala, P. and M. Taskinen, "Well-conditioned Müller formulation for electromagnetic scattering by dielectric objects," IEEE Trans. Antennas Propag., Vol. 53, No. 10, 3316-3323, 2005.
doi:10.1109/TAP.2005.856313        Google Scholar

14. Yeung, M. S., "Single integral equation for electromagnetic scattering by three-dimensional homogeneous dielectric objects," IEEE Trans. Antennas Propag., Vol. 47, No. 10, 1615-1622, 1999.
doi:10.1109/8.805907        Google Scholar

15. Wang, P., M. Y. Xia, and L. Z. Zhou, "Analysis of scattering by composite conducting and dielectric bodies using the single integral equation method and multilevel fast multipole algorithm," Microw. and Opt. Tech. Lett., Vol. 48, No. 6, 1154-1156, 2006.        Google Scholar

16. Song, J. M., C. C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propag., Vol. 45, No. 10, 1488-1493, 1997.
doi:10.1109/8.633855        Google Scholar

17. Chew, W. C., J. M. Jin, E. Michielssen, and J. M. Song, Fast and Efficient Algorithms in Computational Electromagnetics, Artech House, 2001.

18. Greengard, L. and V. Rokhlin, "A fast algorithm for particle simulations," J. Comput. Phys., Vol. 73, 325-348, 1987.
doi:10.1016/0021-9991(87)90140-9        Google Scholar

19. Yan, S., J.-M. Jin, and Z. P. Nie, "Improving the accuracy of the second-kind Fredholm integral equations by using the Buffa-Christiansen functions," IEEE Trans. Antennas Propag., Vol. 59, No. 4, 1299-1310, 2011.
doi:10.1109/TAP.2011.2109364        Google Scholar

20. Yan, S., J.-M. Jin, and Z. P. Nie, "A comparative study of Calderon preconditioners for PMCHWT equations," IEEE Trans. Antennas Propag., Vol. 58, No. 7, 2375-2383, 2010.
doi:10.1109/TAP.2010.2048881        Google Scholar

21. Budko, N. V. and A. B. Samokhin, "Spectrum of the volume integral operator of electromagnetic scattering," SIAM J. Sci. Comput., Vol. 28, No. 2, 682-700, 2005.
doi:10.1137/050630660        Google Scholar

22. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., Vol. 30, No. 3, 409-418, 1982.
doi:10.1109/TAP.1982.1142818        Google Scholar

23. Saad, Y., Iterative Methods for Sparse Linear Systems, PWS Publishing Company, 1996.

24. Cui, T. J., W. C. Chew, G. Chen, and J. M. Song, "Efficient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structures," IEEE Trans. Antennas Propag., Vol. 52, No. 3, 759-770, 2004.
doi:10.1109/TAP.2004.825491        Google Scholar