A novel scheme for the solution of the time-domain integral equations of electromagnetics

IEEE Transactions on Antennas and Propagation

Volumn 52, Issue 1, 2004, Pages 283-295

  Weile, Daniel S ^a   Pisharody, Greeshma ^a   Chen, Nan Wei ^b   Shanker, Balasubramaniam ^c   Michielssen, Eric ^b  

^a UNIVERSITY OF DELAWARE   (United States)

^b United States of America   (United States)

^c Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ELECTRIC FIELDS; FREQUENCY DOMAIN ANALYSIS; INTEGRAL EQUATIONS; INTEGRATION; MAGNETIC FIELDS; TIME DOMAIN ANALYSIS;

APPROXIMATE PROLATE SPHEROIDAL WAVE FUNCTIONS; ELECTROMAGNETICS; MARCHING ON IN TIME; TIME-DOMAIN INTEGRAL EQUATIONS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 1542285835     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2003.822450     Document Type: Article

References (38)

1. R. Mittra, "Transient electromagnetic fields," in Topics in Applied Physics, L. B. Felsen and C. E. Baum, Eds. New York: Springer-Verlag, 1976, vol. 10.
2. A. J. Poggio and E. K. Miller, "Integral equation solutions of three dimensional scattering problems," in Computer Techniques for Electromagnetics, R. Mittra, Ed. Oxford, U.K.: Pergammon, 1973, pp. 159-265.
3. C. L. Bennett, "A technique for computing approximate impulse response for conducting bodies," in Electrical Engineering. West Lafayette, IN: Purdue University, 1968.
4. R. F. Harrington, Field Computation by Moment Methods. Malabar, FL: Krieger, 1968.
5. J. Jin, The Finite Element Method in Electromagnetics. New York: Wiley, 1993.
6. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Boston, MA: Artech House, 1996.
7. A. Yilmaz, D. S. Weile, E. Michielssen, and J.-M. Jin, "A hierarchical FFT algorithm (HIL-FFT) for the fast analysis of transient electromagnetic scattering phenomena," IEEE Trans. Antennas Propagat., vol. 51, pp. 971-982, July 2002.
8. ____, "A fast fourier transform accelerated marching-on-in-time algorithm for electromagnetic analysis," Electromagn., vol.21, pp. 181-197, 2001.
9. B. Shanker, A. A. Ergin, and K. Aygün, "Analysis of transient electromagnetic scattering phenomena using a two-level plane wave time-domain algorithm," IEEE Trans. Antennas Propagat., vol. 48, pp. 510-523, 2000.
10. D. A. Vechinski and S. M. Rao, "A stable procedure to calculate the transient scattering by conducting surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol. 40, pp. 661-665, 1992.
11. B. P. Rynne, "Stability and convergence of time marching methods in scattering problems," IMA J. Math., vol. 35, pp. 297-310, 1985.
12. ____, "Time domain scattering from arbitrary surfaces using the electric field integral equation," J. Electromagn. Waves Applicat., vol. 5, pp. 93-112, 1991.
13. B. P. Rynne and P. D. Smith, "Stability of time marching algorithms for the electric field integral equation," J. Electromagn. Waves Applicat., vol. 4, pp. 1181-1205, 1990.
14. P. J. Davies, "Numerical stability and convergence of approximations of retarded potential integral equations," SIAM J. Numer. Anal., vol. 31, pp. 856-875, 1994.
15. ____, "A stability analysis of a time marching scheme for the general surface electric field integral equation," Appl. Numer. Math., vol. 27, pp. 33-57, 1998.
16. P. J. Davies and D. B. Duncan, "Averaging techniques for time-marching schemes for retarded potential integral equations," Appl. Numer. Math., vol. 23, pp. 291-310, 1997.
17. T. K. Sarkar, W. Lee, and S. M. Rao, "Analysis of transient scattering from composite arbitrarily shaped complex structures," IEEE Trans. Antennas Propagat., vol. 48, pp. 1625-1634, 2000.
18. B. Shanker, A. A. Ergin, and K. Aygün, "Analysis of transient electromagnetic scattering from closed surfaces using a combined field integral equation," IEEE Trans. Antennas Propagat., vol. 48, pp. 1064-1074, 2000.
19. 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 Propagat., vol. 45, pp. 527-532, 1997.
20. M. J. Bluck and S. P. Walker, "Time-domain BIE analysis of large three dimensional electromagnetic scattering problems," IEEE Trans. Antennas Propagat., vol. 45, pp. 894-901, 1997.
21. S. Dodson, S. P. Walker, and M. J. Bluck, "Implicitness and stability of time domain integral equation scattering analysis," Appl. Computat. Electromagn. Soc. J., vol. 13, pp. 291-301, 1998.
22. J.-L. Hu and C. H. Chan, "Improved temporal basis functions using for time domain electric field integral equation method," Electron. Lett., vol. 35, pp. 883-885, 1999.
23. J.-L. Hu, C. H. Chan, and Y. Xu, "A new temporal basis function for the time-domain integral equation method," IEEE Microwave Wireless Comp. Lett., vol. 11, pp. 465-466, 2001.
24. T. Abboud, J.-C. Nédélec, and J. Volakis, "Stable solution of the retarded potential integral equations," in Applied Computational Electromagnetics Symp., Monterey, CA, 2001.
25. J. J. Knab, "Interpolation of band-limited functions using the approximate prolate series," IEEE Trans. Inform. Theory, vol. IT-25, pp. 717-720, 1979.
26. D. S. Weile, B. Shanker, A. A. Ergin, and E. Michielssen, "An accurate discretization technique for the numerical solution of time-domain integral equations," in Antennas and Propagation Int. Symp., Salt Lake City, UT, 2000.
27. ____, "A predictor-corrector technique for the accurate solution of time-domain integral equations," in UNSC/URSI Radio Science Meeting, Salt Lake City, UT, 2000.
28. D. S. Weile, B. Shanker, and E. Michielssen, "An accurate scheme for the numerical solution of the time domain electric field integral equation," in IEEE Antennas and Propagation Int. Symp., Boston, MA, 2001.
29. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol. AP-30, pp. 409-418, 1982.
30. R. D. Graglia, D. R. Wilton, and A. F. Peterson, "Higher order interpolatory vector bases for computational electromagnetics," IEEE Trans. Antennas Propagat., vol. 45, pp. 329-342, 1997.
31. R. W. Gerchberg, "Super resolution through energy reduction," Opt. Acta., vol. 21, pp. 709-720, 1974.
32. J. A. Cadzow, "Extrapolation procedure for band-limited signals," IEEE Trans. Acoust., Speech, Signal Processing, vol. 27, pp. 4-12, 1979.
33. A. Papoulis, "A new algorithm in spectral analysis and bandlimited extrapolation," IEEE Trans. Circuits Syst., vol. 25, pp. 735-742, 1975.
34. M. Burton and S. Kashyap, "A study of a recent, moment-method algorithm that is accurate to very low frequencies," Appl. Computat. Electromagn. Soc. J., vol. 10, pp. 58-68, 1995.
35. E. Arvas, R. F. Harrington, and J. R. Mautz, "Radiation and scattering from electrically small conducting bodies of arbitrary shape," IEEE Trans. Antennas Propagat., vol. AP-34, pp. 66-77, 1986.
36. J. R. Mautz and R. F. Harrington, "An E-field solution for a conducting surface small or comparable to the wavelength," IEEE Trans. Antennas Propagat., vol. AP-32, pp. 330-339, 1984.
37. W. Wu, A. W. Glisson, and D. Kajfez, "A study of two numerical solution procedures for the electric field integral equation at low frequency," Appl. Computat. Electromagn. Soc. J., vol. 10, pp. 69-80, 1995.
38. J.-S. Zhao and W. C. Chew, "Integral equation solution of maxwell's equations from zero frequency to microwave frequencies," IEEE Trans. Antennas Propagat., vol. 48, pp. 1635-1645, 2000.