Time domain integral equation analysis of scattering from composite bodies via exact evaluation of radiation fields

IEEE Transactions on Antennas and Propagation

Volumn 57, Issue 5, 2009, Pages 1506-1520

  Shanker, Balasubramaniam ^a   Lu, Mingyu ^b   Yuan, Jun ^a   Michielssen, Eric ^c  

^a Michigan State University   (United States)

^b University of Texas at Arlington   (United States)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Closed form evaluation; Composite; Exact evaluation; Integral equations; Transient

Indexed keywords

CLOSED FORM; CLOSED-FORM EVALUATION; COMPOSITE; CONDUCTING SURFACES; EXACT EVALUATION; GALERKIN SCHEME; MARCHING-ON-IN-TIME; MULTIPOINT; PERFECT ELECTRICALLY CONDUCTING; POGGIO-MILLER-CHANG-HARRINGTON-WU-TSAI; RADIATION FIELD; TIME DOMAIN INTEGRAL EQUATIONS; TRANSIENT SCATTERING;

GALERKIN METHODS; INTEGRAL EQUATIONS; SCATTERING;

TIME DOMAIN ANALYSIS;

EID: 67349130365     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2009.2016700     Document Type: Article

References (40)

1. S. M. Rao and Wilton D. R., "Transient scattering by conducting surfaces of arbitrary shape," IEEE Trans. Antennas Propag., vol. 39, no. 1, pp. 56-61, 1991.
2. R. G. Martin, A. Salinas, and A. R. Bretones, "Time-domain integral equation methods for transient analysis," IEEE Antennas Propag. Mag. vol. 34, pp. 15-23, 1992.
3. 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 Trans. Antennas Propag., vol. 45, pp. 1793-1798, 1997.
4. 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 Trans. Antennas Propag., vol. 45, no. 3, pp. 527-532, 1997.
5. A. E. Yilmaz, J. M. Jin, and E. Michielssen, "Time domain adaptive integral method for surface integral equations," IEEE Trans. Antennas Propag., vol. 52, no. 10, pp. 2692-2708, 2004.
6. G. Kobidze et al., "A fast time domain integral equation based scheme for analyzing scattering from dispersive objects," IEEE Trans. Antennas Propag., vol. 53, no. 3, pp. 1215-1226, 2005.
7. B. Shanker et al., "Analysis of transient electromagnetic scattering phenomena using a two-level plane wave time-domain algorithm," IEEE Trans. Antennas Propag., vol. 48, no. 4, pp. 510-523, 2000.
8. B. Shanker, A. A. Ergin, and E. Michielssen, "Analysis of transient scattering from penetrable bodies using the multilevel plane wave time domain algorithm," J. Opt. Soc. Am. A, vol. A19, pp. 716-726, 2002.
9. B. Shanker, A. A. Ergin, and E. Michielssen, "Plane-wave-time-domain-enhanced marching-on-in-time scheme for analyzing scattering from homogeneous dielectric structures," J. Opt. Soc. Am. A, vol. 19, no. 4, pp. 716-726, 2002.
10. B. Shanker et al., "Fast analysis of transient scattering phenomena using the multilevel plane wave time domain algorithm," IEEE Trans. Antennas Propag., vol. 51, no. 3, pp. 628-641, 2003.
11. K. Aygun et al., "A fast hybrid field-circuit simulator for transient analysis of microwave circuits," IEEE Trans. Microw. Theory Tech., vol. 52, no. 2, pp. 573-583, 2004.
12. T. K. Sarkar, W. Lee, and S. M. Rao, "Analysis of transient scattering from composite arbitrarily shaped complex structures," IEEE Trans. Antennas Propag., vol. 48, pp. 1625-1634, 2000.
13. A. Sadigh and E. Arvas, "Treating the instabilities in marching-on-in-time method from a different perspective," IEEE Trans. Antennas Propag., vol. 41, no. 12, pp. 1695-1702, 1993.
14. D. S. Weile et al., "A novel scheme for the solution of the time-domain integral equations of electromagnetics," IEEE Trans. Antennas Propag., vol. 52, no. 1, pp. 283-295, 2004.
15. J.-L. Hu, C. H. Chan, and Y. Xu, "A new temporal basis function for the time-domain integral equation method," IEEE Microw. Wireless Compon. Lett., vol. 11, pp. 465-466, 2001.
16. T. Abboud, J.-C. Nedelec, and J. Volakis, "Stable solution of the retarded potential equations," presented at the 17th Ann. Rev. Prog. Appl. Computat. Electromagn., Monterey, CA, 2001.
17. T. Ha-Duong, "On retarded potential boundary integral equations and their discretisation," in Topics in Computational Wave Propagation: Direct and Inverse Problems, M. Ainsworth, Ed. et al. Berlin, Germany: Springer-Verlag, 2003, pp. 301-336.
18. A. Alte, "Numerical approximations of time domain boundary integral equation for wave propagation," in Dept. Numerical Analysis and Comput. Sci.. Stockholm: Stockholm Univ., 2003, p. 98.
19. D. B. Duncan and P. J. Davies, "Convergence of a collocation scheme for a retarded potential integral equation," in Mathematical and Numerical Aspects of Wave Propagation, G. C. Cohen, Ed. et al. Berlin, Germany: Springer, 2003, pp. 770-775.
20. P. J. Davies and D. B. Duncan, "Stability and convergence of collocation schemes for retarded potential integral equations," SIAM J. Numer. Anal., vol. 42, no. 3, pp. 1167-1188, 2004.
21. A. C. Yucel and A. A. Ergin, "Exact evaluation of retarded-time potential integrals for the RWG bases," IEEE Trans. Antennas Propag. vol. 54, pp. 1496-1502, 2006.
22. J. Pingenot, S. Chakraborty, and V. Jandhyala, "Polar integration for exact space-time quadrature in time-domain integral equations," IEEE Trans. Antennas Propag., vol. 54, pp. 3037-3042, 2006.
23. L. N. Medgyesi-Mitchang, J. M. Putnam, and M. B. Gedera, "Generalized method of moments for three-dimensional penetrable scatterers," J. Opt. Soc. Am., no. A11, pp. 1383-1398, 1994.
24. E. Yip and B. Dembart, Matrix Assembly in FMM-MOM Codes. Seattle, WA: Boeing Company, 1997.
25. D. R. Wilton et al., "Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains," IEEE Trans. Antennas Propag., vol. 32, no. 3, pp. 276-281, 1984.
26. R. E. Hodges and Y. Rahmat-Samii, "The evaluation of MFIE integrals with the use of vector triangle basis functions," Microw. Opt. Technol. Lett., vol. 14, no. 1, pp. 9-14, 1997.
27. M. Lu and E. Michielssen, "Closed form evaluation of time domain fields due to Rao-Wilton-Glisson sources for use in marching-on-in-time based EFIE solvers," presented at the IEEE Antennas Propag. Society Int. Symp., 2002.
28. X. Q. Sheng et al., "Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies," IEEE Trans. Antennas Propag., vol. 46, pp. 1718-1726, 1998.
29. R. Mittra, Ed., Computer Tech. for Electromagnetics. Oxford, U.K.: Pergamon Press, 1973, pp. 159-265.
30. C. Muller, Foundations of the Mathematical Theory of Electromagnetic Waves. Berlin, Germany: Springer Verlag, 1969, pp. 129-210.
31. B. M. Kolundzija, "Electromagnetic modeling of composite metallic and dielectric structures," presented at the IEEE Antennas Propag. Society Int. Symp., 1997.
32. S. Chen, J.-S. Zhao, and W. C. Chew, "Analyzing low-frequency electromagnetic scattering from a composite object," IEEE Trans. Geosci. Remote Sensing, vol. 40, pp. 426-433, 2002.
33. S. Joon, A. W. Glisson, and A. A. Kishk, "Analysis of combined conducting and dielectric structures of arbitrary shapes using an E-PMCHW integral equation formulation," presented at the IEEE Antennas Propag. Symp., Salt Lake City, UT, 2000.
34. K. C. Donepudi, J.-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. 51, pp. 2814-2821, 2003.
35. V. Jandhyala et al., "A fast algorithm for the analysis of radiation and scattering from microstrip arrays on finite substrates," Microw. Opt. Technol. Lett., vol. 23, pp. 307-310, 1999.
36. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., vol. 30, no. 3, pp. 409-418, 1982.
37. J. N. Lyness and D. Jespersen, "Moderate degree symmetric quadrature rules for the triangle," J. Inst. Math. Applicat., vol. 15, pp. 19-32, 1975.
38. N. Morita, N. Kumagai, and J. R. Mautz, Integral Equation Methods for Electromagnetics. Boston, MA: Artech House, 1991.
39. S. Caorsi, D. Moreno, and F. Sidoti, "Theoretical and numerical treatment of surface integrals involving the free-space Green's function," IEEE Trans. Antennas Propag., vol. 41, no. 9, pp. 1296-1301, 1993.
40. I. S. Gradshteyn et al., Table of Integrals, Series, and Products, 6th ed. New York: Academic Press, 2000.