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Iterative Techniques for the Solution of Integral Equations in Transient Electromagnetic Scattering
By
, Vol. 05, 455-538, 1991
Abstract
Citation
Antonius G. Tijhuis , "Iterative Techniques for the Solution of Integral Equations in Transient Electromagnetic Scattering," , Vol. 05, 455-538, 1991.
doi:10.2528/PIER89103103
http://www.jpier.org/PIER/pier.php?paper=8910313
References

1. Friedman, M. B. and R. P. Shaw, "Diffraction of pulses by cylindrical obstacles of arbitrary cross section," J. Appl. Mech., Vol. 29, 40-46, 1962.

2. Shaw, R. P., "Diffraction of acoustic pulses by obstacles of arbitrary shape with a Robin boundary condition," J. Acoucrt. Soc. Am., Vol. 41, 855-859, 1967.

3. Shaw, R. P., "Diffraction of plane acoustic pulses by obstacles of arbitrary cross section with an impedance boundary condition," J. Acoust. Soc. Am., Vol. 44, 1062-1068, 1968.

4. Shaw, R. P., "Transient scattering by a circular cylinder," J. Sound Vibr., Vol. 42, 295-304, 1975.

5. Mitzner, K. M., "Numerical solution for transient scattering from a hard surface of arbitrary shape --- Retarded potential technique," J. Acoust. Soc. Am, Vol. 42, 391-397, 1967.

6. Neilson, H. C., Y. P. Lu, and Y. F. Wang, "Transient scattering by axisymmetric surfaces," J. Acoust. Soc. Am., Vol. 63, 1719-1726, 1978.

7. Bennett, C. L. and H. Mieras, "Time domain integral equation solution for acoustic scattering from fluid targets," J. Acoust. Soc. Am., Vol. 69, 1261-1265, 1981.

8. Bennett, C. L. and H. Mieras, "Space-time integral equation solution for hard or soft targets in the presence of a hard or soft half space," Wave Motion, Vol. 5, 399-411, 1983.

9. Bennett, C. L., "A technique for computing approximete impulse response of conducting bodies,", Ph.D. Thesis, Purdue University, Lafayette, Indiana, 1968.

10. Bennett, C. L. and W. L. Weeks, "Transient scattering from conducting cylinders," IEEE Trans. Antennas Propagat., Vol. 18, 627-633, 1970.

11. Bennett, C. L., and H. Mieras, "Time domain scattering fromopen thin conducting surfaces," Radio Sci., Vol. 16, 1231-1239, 1981.

12. Tijhuis, A. G., "Toward a stable marching-on-in-time method for two-dimensional transient electromagnetic scattering problems," Radio Sci., Vol. 19, 1311-1317, 1984.

13. Damaskos, N. J., R. T. Brown, J. R. Jameson, and P. L. E. Uslenghi, "Transient scattering by resistive cylinders," IEEE Trans. Antennas Propagat., Vol. 33, 21-25, 1985.

14. Poggio, A. J. and E. K. Miller, "Integral equation solutions of three-dimensional scattring problems," Computer techniques for electromagnetics, R. Mittra (ed.), Pergamon Press, Oxford, Chap. 4, 1973.

15. Mittra, R., "Integral equation methods for transient scattering," Transient electromagnetic fields, L.B. Felsen (ed.), Springer Verlag, Berlin, Chap. 2, 1976.

16. Bennett, C. L., "The numerical solution of transient electromagnetic scattering problems," Electromagnetic Scattering, P.L.E. Uslenghi (ed.), Academic Press, New York, Chap. 11, 1978.

17. Bennett, C. L. and G. F. Ross, "Time-domain electromagnetics and its applications," Proc. IEEE, Vol. 66, 299-318, 1978.

18. Mieras, H. and C. L. Bennett, "Space-time integral approach to dielectric targets," IEEE Trans. Antennas Propagat., Vol. 30, 2-9, 1982.

19. Marx, E., "Integral equation for scattering by a dielectric," IEEE Trans. Antennas Propagat., Vol. 32, 166-172, 1984.

20. Herman, G. C., "Scattering of transient acoustic waves by an inhomogeneous obstacle," J. Acoust. Soc. Am, Vol. 69, 909-915, 1981.

21. Herman, G. C., Scattering of transient acoustic waves in fluids and solids, Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands, 1981.

22. Herman, G. C., "Scattering of transient elastic waves by an inhomogeneous obstacle: Contrast in volume density and mass," J. Acoust. Soc. Am, Vol. 71, 264-272, 1982.

23. Lesselier, D., "P waves transient scattering by 2-D penetrable targets: A direct solution," J. Acoust Soc. Am, Vol. 74, 1274-1278, 1983.

24. Bolomey, J. Ch., Ch. Durix, and D. Lesselier, "Time domain integral equation approach for inhomogeneous and dispersive slab problems," IEEE h. Antennas Pmpagat., Vol. 26, 658-667.

25. Lesselier, D., "Diagnostic optimal de la lame inhomogène en régime temporel. Applications à l'électromagnétisme et à I'acoustique,", Ph.D. Thesis, l'Université Pierre et Marie Curie, Paris, 1982.

26. Tijhuis, A. G., "Iterative determination of permittivity and conductivity profiles of a dielectric slab in the time domain," IEEE Trans. Antennas Propagat., Vol. 29, 239-245, 1981.

27. Dohner, J. L., R. Shoureshi, and R. J. Bernard, "Transient analysis of three-dimensional wave propagation using the boundary element method," International Journal for Numerical Methods in Engineering, Vol. 24, 621-634, 1987.

28. Marx, E., "Self-patch integrals in transient electromagnetic scattering," IEEE Trans. Antennas Propagat., Vol. 33, 763-767, 1985.

29. Marx, E., "Neighboring-patch integrals in transient electromagnetic scattering," IEEE Trans. Antennas Pmpagat., Vol. 33, 768-773, 1985.

30. Rynne, B. P., "Stability and convergence of time marching methods in scattering problems," IMA J. Appl. Math., Vol. 35, 297-310, 1985.

31. Herman, G. G. and P. M. van den Berg, "A least-square iterative technique for solving time-domain scattering problems," J. Acoust. Soc. Am., Vol. 72, 1947-1953, 1982.

32. van den Berg, P. M., "Iterative computational techniques in scattering based upon the integrated square error criterion," IEEE Trans. Antennas Propagat., Vol. 32, 1063-1071, 1984.

33. van den Berg, P. M., "Iterative schemes based on the minimization of the error in field problems," Electmmagnetics, Vol. 5, 237-262, 1985.

34. Sarkar, T. K., "The application of the coqjugate gradient method to the solution of operator equations arising in the electromagnetic scattering from wire antennas," Radio Sci., Vol. 19, 1156-1172, 1984.

35. Sarkar, T. K. and S. M. Rao, "The application of the conjugate gradient method for the solution of elelctromagnetic scattering from arbitrarily oriented wire antennas," IEEE Trans. Antennas Pmpagat., Vol. 32, 398-403, 1984.

36. Rao, S. M., T. K. Sarkar, and S. A. Dianat, "The application of the conjugate gradient method to the solution of transient electromagnetic scattering from thin wires," Radio Sci., Vol. 19, 1319-1326, 1984.

37. Tijhuis, A. G., Electromagnetic Inverse Profiling: Theory and Numerical Lrnplementation, VNU Science Press, Utrecht, The Netherlands, 1987.

38. De Hoop, A. T., "General considerations on the integral-equation formulation of diffraction problems," Modern topics in electromagnetics and antennas, E.J. Maanders and R. Mittra (eds.), PPL Conference Publications 13, Peter Peregrinus, Stevenage, U.K., Chap. 6, 1977.

39. Widder, D. V., The Laplace Transform, 61-63, Princeton University Press, Princeton, 1946.

40. De Hoop, A. T., "A modification of Cagniard's method for solving seismic pulse problems," Appl. Sci. Res., Vol. 3, 179-188, 1960.

41. Achenbach, J. D., Wave propagation in elastic solids, 298, North-Holland Publishing Company, Amsterdam, 1973.

42. Van der Hijden, J. H. M. T., Propagation of transient elastic waves in stratified anisotropic media, North-Holland Publishing Company, Amsterdam, 1987.

43. De Hoop, A. T., "Acoustic radiation from impulsive point sources in a layered fluid," Nieuw Archief voor Wiskunde, Vol. 6, 111-129, 1988.

44. Rynne, B. P., "Instabilities in time marching methods for scattering problems," Electromagnetics, Vol. 6, 129-144, 1986.

45. Marx, E., "Electromagnetic pulse scattered by a sphere," IEEE Trans. Antennas Propagat., Vol. 35, 412-417, 1987.

46. Hildebrand, F. B., Introduction to numerical analysis, Chap. 3, McGraw-Hill, New York, 1956.

47. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes, Chap. 17, Cambridge University Press, Cambridge, 1986.

48. Abramowitz, M. A. and I. A. Stegun, Handbook of mathematical functions, Dover Publications, New York, 1965.

49. Tijhuis, A. G., R. Wiemans, and E. F. Kuester, "A hybrid method for solving time-domain integral equations in transient scattering," Journal of Electromagnetic Waves and Applications, Vol. 9, 495-511, 1989.

50. Heyman, E. and L. B. Felsen, "Creeping waves and resonances in transient scattering by smooth convex objects," IEEE Trans. Antennas Propagat., Vol. 31, 426-437, 1983.

51. Yaghjian, A. D., "Augmented electric- and magnetic-field integral equations," Radio Sci., 987-1001, 1981.

52. Smith, P. D., "Stable numerical methods for integral equations governing the scattering of transients," Bulletin IMA 24, 166-170, 1988.

53. Smith, P. D., "Instabilities in time-marching methods for scattering --- Cause and rectification,", submitted for publication in Electromagnetics.

54. Dudley, D. G., "Error minimization and convergence in numerical methods," Electromagnetics, Vol. 5, 89-97, 1985.

55. van den Berg, P. M., "Iterative schemes based on minimization of a uniform error criterion,", This Volume, Chap. 2..

56. Gill, P. E., W. Murray, and M. H. Wright, Practical Optimization, Chap. 4, Academic Press, London, 1981.

57. Rao, S. K., T. K. Sarkar, and S. A. Dianat, "A novel technique to the solution of transient electromagnetic scattering from thin wires," IEEE Trans. Antennas Propagat., Vol. 34, 630-634, 1986.

58. Tikhonov, A. N. and V. Y. Arsenin, Solutions of ill-posed problems, V.H. Winston & Sons, Washington D.C., 1977, Chapters II, III.