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Buried, 2-D Penetrable Objects Illuminated by Line Sources: FFT-Based Iterative Computations of the Anomalous Field
By
, Vol. 05, 351-389, 1991
Abstract
Citation
Dominique Lesselier Bernard Duchene , "Buried, 2-D Penetrable Objects Illuminated by Line Sources: FFT-Based Iterative Computations of the Anomalous Field," , Vol. 05, 351-389, 1991.
doi:10.2528/PIER89103100
http://www.jpier.org/PIER/pier.php?paper=8910310
References

1. Duchene, B., D. Lesselier, and W. Tabbara, "Acoustical imaging of 2-D fluid targets buried in half-space: a diffraction tomography approach," IEEE Trans. Ultrason. Ferroelec. Freq. Control, Vol. UFFC-34, No. 5, 540-549, 1987.
doi:10.1109/T-UFFC.1987.26980

2. Duchene, B., D. Lesselier, and W. Tabbara, "Acoustical imaging of 2-D fluid targets buried in half-space: a diffraction tomography approach using line sources insonification," Electromagnetic and Acoustic Scattering Detection and Inverse Problems, C. Bourrely et al. Eds., World Scientific Publ. Co., London, 1989.

3. Osumi, N. and K. Ueno, "Microwave holographic imaging of underground objects," IEEE Trans. Atennas Propagat., Vol. AP-33, No. 2, 152-159, 1985.
doi:10.1109/TAP.1985.1143559

4. Chommeloux, L., Ch. Pichot, and J. Ch. Bolomey, "Electromagnetic modeling for microwave imaging of cylindrical buried inhomogeneities," IEEE Trans. Microwave Theory Tech., Vol. MTT-34, No. 10, 1064-1076, 1986.
doi:10.1109/TMTT.1986.1133496

5. Michiguchi, Y., et al., "Development of signal processing methods for imaging buried pipes," IEEE Trans. Geosci. Remote Sens., Vol. GE-25, No. 1, 11-15, 1987.
doi:10.1109/TGRS.1987.289775

6. Azimi, M. and K. C. Kak, "Distorsion in diffraction tomography caused by multiple scattering," IEEE Trans. Med. Imaging, Vol. MI-2, No. 4, 176-195, 1983.
doi:10.1109/TMI.1983.4307637

7. Lesselier, D., D. Vuillet-Laurent, F. Jouvie, and W. Tabbara, "Iterative solution of some direct and inverse problems in electromagnetic and acoustics," Electromagnetics, Vol. 5, No. 2-3, 147-189, 1985.
doi:10.1080/02726348508908145

8. Harrington, R. F., "The method of moments in electromagnetics," J. Electromag. Waves Appl., Vol. 1, No. 3, 181-200, 1987.
doi:10.1163/156939387X00018

9. Miller, E. K., "A selective survey of computational electromagnetics," IEEE Trans. Antennas Propagat., Vol. AP-36, No. 9, 1281-1305, 1988.
doi:10.1109/8.8607

9. Duchene, B. and W. Tabbara, "Characterization of a buried cylindrical object from its scattered field," IEEE Trans. Son. Ultmson., Vol. SU-31, No. 6, 658-663, 1984.
doi:10.1109/T-SU.1984.31552

11. Izadian, J., L. Peters, and J. H. Richmond, "Computation of scattering from penetrable cylinders with improved numerical efficiency," IEEE Trans. Geosci. Remote Sens., Vol. GE-22, No. 1, 52-61, 1984.
doi:10.1109/TGRS.1984.350579

12. Datta, S. K. and N. El-Akily, "Diffraction of elastic waves by cylindrical cavity in a half-space," J. Acoust. Soc. Am., Vol. 64, No. 6, 1692-1699, 1978.
doi:10.1121/1.382147

13. Karlsson, A., "Scattering from inhomogeneities in layered structures," J. Acoust. Soc. Am., Vol. 71, No. 5, 1083-1092, 1982.
doi:10.1121/1.387779

14. Bennett, C. L. and H. Mieras, "Space-time integral equation solution for hard and soft targets in presence of a hard and soft half-space," Wave Mot., Vol. 5, 399-411, 1983.
doi:10.1016/0165-2125(83)90025-2

15. Niwa, Y., S. Kirose, and M. Kitahara, "Application of the boundary integral equation (B.I.E.) method to transient response analysis of inclusions in a half-space," Wave Mot., Vol. 8, No. 1, 77-91, 1986.
doi:10.1016/0165-2125(86)90007-7

16. Schuster, G. T. and L. C. Smith, "Modeling scatterers embedded in plane-layered media by an hybrid Haskell-Thomson and boundary integral equation method," J. Acoust. Soc. Am., Vol. 78, No. 4, 1387-1394, 1985.
doi:10.1121/1.392910

17. Umashankar, K. R., "Numerical analysis of electromagnetic wave scattering and interaction based on frequency-domain integral equation and method of moments techniques," Wave Mot., Vol. 10, No. 6, 493-525, 1988.
doi:10.1016/0165-2125(88)90010-8

18. Hestenes, M. and E. Stiefel, "Method of conjugate gradients for solving linear systems," J. Res. Nut. Bur. Stand., Vol. 49, No. 152, 409-436, 1952.
doi:10.6028/jres.049.044

19. Ray, S. L. and A. F. Peterson, "Error and convergence in numerical implementations of the conjugate gradient method," IEEE Trans. Antennas Propagat., Vol. AP-36, No. 12, 1824-1827, 12, 1988.
doi:10.1109/8.14405

20. Tijhuis, A. G., Electromagnetic Inverse Profiling. Theory and Numerical Implementation, VNU Science Press, Utrecht, 1987.

21. Roger, A., "Theoretical study and numerical resolution of inverse problems via the functional derivatives," Inverse Methods in Electromagnetic Imaging, Boerner W. M. et al. Eds., Reidel Publ. Comp., Dordrecht, Part I, 111-120, 1985.

22. Daniel, J. W., "The conjugate-gradient method for linear and nonlinear operator equation," SIAM J. Num. Anal., Vol. 4, No. 1, 10-26, 1967.
doi:10.1137/0704002

23. Bolomey, J. Ch. and W. Tabbara, "Numerical aspects on coupling between complementary boundary value problems," IEEE Trans. Antennas Propagat., Vol. AP-21, No. 3, 356-363, 1973.
doi:10.1109/TAP.1973.1140500

24. Sarkar, T. K., K. R. Siarkiewicz, and R. F. Stratton, "Survey of numerical methods for solution of large system of linear equations for electromagnetic field problems," IEEE Trans. Antennas Propagat, Vol. AP-29, No. 6, 847-856, 1981.
doi:10.1109/TAP.1981.1142695

25. Herman, G. C. and P. M. van den Berg, "A least-square iterative technique for solving time-domain scattering problems," J. Acoust. Soc. Am., Vol. 72, No. 12, 1947-1953, 1982.
doi:10.1121/1.388625

26. van den Berg, P. M., A. T. de Hoop, A. Segal, and N. Praagman, "The computational model of the electromagnetic heating of biological tissue with application to hyperthermia cancer therapy," IEEE Trans. Biomed. Eng., Vol. BME-30, No. 12, 797-815, 1983.
doi:10.1109/TBME.1983.325081

27. Dudley, D. G., "Error minimization and convergence in numerical methods," Electromagnetics, Vol. 5, No. 2-3, 89-97, 1985.
doi:10.1080/02726348508908142

28. Sarkar, T. K., E. Arvas, and S. M. Rao, "Application of the Fast Fourier Transform and the conjugate gradient method for efficient solution of electromagnetic scattering from both electrically large and small conducting bodies," Electromagnetics, Vol. 5, No. 2-3, 99-122, 1985.
doi:10.1080/02726348508908143

29. Mittra, R. and C. H. Chan, "Iterative approaches to the solution of electromagnetic boundary value problems," Electromagnetics, Vol. 5, No. 2-3, 123-146, 1985.
doi:10.1080/02726348508908144

30. van den Berg, P. M., "Iterative schemes based on the minimization of the error in field problems," Electromagnetics, Vol. 5, No. 2-3, 237-262, 1985.
doi:10.1080/02726348508908148

31. Peterson, A. F. and R. Mittra, "Method of conjugate gradient for the numerical solution of large-body electromagnetic scattering problem," J. Opt. Soc. Am. A, Vol. 2, No. 6, 971-977, 1985.
doi:10.1364/JOSAA.2.000971

32. Borup, D. T. and O. P. Gandhi, "Fast-Fourier Transform method for calculation of SAR distributions in finely discretized inhomogeneous models of biological bodies," IEEE Trans. Microwave Theory Tech., Vol. 32, No. 4, 255-360, 1984.
doi:10.1109/TMTT.1984.1132683

33. Sarkar, T. K., X. Yang, and E. Arvas, "A limited survey of various conjugate gradient methods for solving complex matrix equations arising in electromagnetic wave interactions," Wave Mot., Vol. 10, No. 6, 527-546, 1988.
doi:10.1016/0165-2125(88)90011-X

34. Sarkar, T. K., "On the application of the generalized biconjugate algorithm," J. Electrom. Waves Appl., Vol. 1, No. 3, 223-242, 1987.
doi:10.1163/156939387X00036

35. Peterson, A. F. and R. Mittra, "Convergence of the conjugate gradient method when applied to matrix equations representing electromagnetic scattering problems," IEEE Trans. Antennas Propagat., Vol. AP-34, No. 12, 1447-1454, 1986.
doi:10.1109/TAP.1986.1143780

36. Peterson, A. F., C. F. Smith, and R. Mittra, "Eigenvalues of the moment method matrix and their effect on the convergence of the conjugate gradient algorithm," IEEE Trans. Antennas Propagat., Vol. AP-36, No. 8, 1177-1179, 1988.
doi:10.1109/8.7236

37. Kas, A. and E. L. Yip, "Preconditioned conjugate gradient methods for solving electromagnetic problems," IEEE Trans. Antennas Propagat., Vol. AP-35, No. 2, 147-152, 1987.
doi:10.1109/TAP.1987.1144065

38. Su, C-C., "Calculation of electromagnetic scattering from a dielectric cylinder using the conjugate gradient method and FFT," IEEE Trans. Antennas Propagat., Vol. AP-35, No. 12, 1418-1425, 1987.

39. Richmond, J. H., "Scattering by a dielectric cylinder of arbitrary cross-section shape," IEEE Trans. Antennas Propagat.,, Vol. AP-13, No. 3, 334-341, 1965.
doi:10.1109/TAP.1965.1138427

40. Richmond, J. H., "TE-wave scattering by a dielectric cylinder of arbitrary cross-section shape," IEEE Trans. Antennas Propagat., Vol. AP-14, No. 4, 460-464, 1966.
doi:10.1109/TAP.1966.1138730

41. Joachimovicz, N. and Ch. Pichot, "Comparison of three integral formulations for the 2D-TE scattering problem," IEEE Trans. Microwave Theory Tech., Vol. MTT-38, No. 2, 178-185, 1990.
doi:10.1109/22.46428

42. Dahlquist, G. and A. Bjorck, Numerical Methods, translated by N. Anderson, Prentice Hall Inc., Englewood Cliffs, N.J., 1974.

43. Brigharn, E. O., The Fast Fourier Transform, Prentice Hall Inc., Englewood Cliffs, N.J., 1974.