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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 10 — Oct. 1, 2003
  • pp: 1867–1874

Inverse scattering for a three-dimensional object in the time domain

Takashi Takenaka, Hui Zhou, and Toshiyuki Tanaka  »View Author Affiliations

JOSA A, Vol. 20, Issue 10, pp. 1867-1874 (2003)

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An iterative inverse-scattering approach to reconstruction of electrical parameter distributions of a three-dimensional object by using time-domain field data is presented. The approach is the extension of the forward–backward time-stepping algorithm previously proposed for a two-dimensional object. Numerical examples of simulation data are given to assess the effectiveness of the proposed approach.

© 2003 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems

Original Manuscript: April 11, 2003
Manuscript Accepted: May 28, 2003
Published: October 1, 2003

Takashi Takenaka, Hui Zhou, and Toshiyuki Tanaka, "Inverse scattering for a three-dimensional object in the time domain," J. Opt. Soc. Am. A 20, 1867-1874 (2003)

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  1. K. Iwata, R. Nagata, “Calculation of refractive index distribution from interferograms using the Born and Rytov’s approximations,” Jpn. J. Appl. Phys. 14, 1921–1927 (1975). [CrossRef]
  2. A. J. Devaney, “A filtered backpropagation algorithm for diffraction tomography,” Ultrason. Imaging 4, 336–350 (1982). [PubMed]
  3. W. C. Chew, Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990). [CrossRef] [PubMed]
  4. S. Caorsi, G. L. Gragnami, M. Pastorino, “Reconstruction of dielectric permittivity distributions in 2-D inhomogeneous biological bodies by a multiview microwave numerical method,” IEEE Trans. Med. Imaging 12, 232–239 (1993). [CrossRef]
  5. G. P. Otto, W. C. Chew, “Microwave inverse scattering—local shape function imaging for improved resolution of strong scatterers,” IEEE Trans. Microwave Theory Tech. 42, 137–141 (1994). [CrossRef]
  6. H. Harada, D. J. N. Wall, T. Takenaka, M. Tanaka, “Conjugate gradient method applied to inverse scattering problem,” IEEE Trans. Antennas Propag. 43, 784–792 (1995). [CrossRef]
  7. C. S. Park, S. K. Park, J. W. Ra, “Moment method and iterative reconstruction of two-dimensional complex permittivity by using effective modes with multipole sources in the presence of noise,” Radio Sci. 31, 1877–1886 (1996). [CrossRef]
  8. A. Franchois, C. Pichot, “Microwave imaging—complex permittivity reconstruction with a Levenberg–Marquardt method,” IEEE Trans. Antennas Propag. 45, 203–214 (1997). [CrossRef]
  9. T. Isernia, V. Pascazio, R. Pierri, “A nonlinear estimation method in tomographic imaging,” IEEE Trans. Geosci. Remote Sens. 35, 910–923 (1997). [CrossRef]
  10. P. M. van den Berg, R. E. Kleinman, “A contrast source inversion method,” Inverse Probl. 13, 1607–1620 (1997). [CrossRef]
  11. O. M. Bucci, L. Crocco, T. Isernia, V. Pascazio, “Inverse scattering problems with multifrequency data: reconstruction capabilities and solution strategies,” IEEE Trans. Geosci. Remote Sens. 38, 1749–1756 (2000). [CrossRef]
  12. S. Y. Yang, H. K. Choi, J. W. Ra, “Reconstruction of a large and high-contrast penetrable object by using the genetic and Levenberg–Marquardt algorithm,” Microwave Opt. Technol. Lett. 16, 17–21 (1997). [CrossRef]
  13. M. Pastorino, A. Massa, S. Caorsi, “A microwave inverse scattering technique for image reconstruction based on a genetic algorithm,” IEEE Trans. Instrum. Meas. 49, 573–578 (2000). [CrossRef]
  14. T. Isernia, V. Pascazio, R. Pierri, “On the local minima in a tomographic imaging technique,” IEEE Trans. Geosci. Remote Sens. 39, 1596–1607 (2001). [CrossRef]
  15. S. Caorsi, M. Donelli, D. Franceschini, A. Massa, “An iterative multiresolution approach for microwave imaging applications,” Microwave Opt. Technol. Lett. 32, 352–356 (2002). [CrossRef]
  16. M. Moghaddam, W. C. Chew, “Study of some practical issues in inversion with the Born iterative method using time-domain data,” IEEE Trans. Antennas Propag. 41, 177–184 (1993). [CrossRef]
  17. W. H. Weedon, W. C. Chew, “Time-domain inverse scattering using the local shape function (LSF) method,” Inverse Probl. 9, 551–564 (1993). [CrossRef]
  18. S. He, P. Fuks, G. W. Larson, “Optimization approach to time-domain electromagnetic inverse problem for a stratified dispersive and dissipative slab,” IEEE Trans. Antennas Propag. 44, 1277–1282 (1996). [CrossRef]
  19. W. H. Yu, R. Mittra, “A nonlinear optimization technique for reconstructing dielectric scatterers with possible high contrasts,” Microwave Opt. Technol. Lett. 14, 268–271 (1997). [CrossRef]
  20. T. Takenaka, H. Jia, T. Tanaka, “Microwave imaging of electrical property distributions by a forward–backward time-stepping method,” J. Electromagn. Waves Appl. 14, 1609–1626 (2000). [CrossRef]
  21. M. Gustafsson, S. He, “An optimization approach to two-dimensional time domain electromagnetic inverse problems,” Radio Sci. 35, 525–536 (2000). [CrossRef]
  22. N. Joachimowicz, C. Pichot, J. Hugonin, “Inverse scattering: an iterative numerical method for electromagnetic imaging,” IEEE Trans. Antennas Propag. 39, 1742–1752 (1991). [CrossRef]
  23. S. Caorsi, G. L. Gragnani, M. Pastorino, “Redundant electromagnetic data for microwave imaging of three-dimensional dielectric objects,” IEEE Trans. Antennas Propag. 42, 581–589 (1994). [CrossRef]
  24. J.-H. Lin, W. C. Chew, “Solution of the three-dimensional electromagnetic inverse problem by the local shape function and the conjugate gradient fast Fourier transform methods,” J. Opt. Soc. Am. A 14, 3037–3045 (1997). [CrossRef]
  25. S. Y. Semenov, R. H. Svenson, A. E. Bulyshev, A. E. Souvorov, A. G. Nazarov, Y. E. Sizov, A. V. Pavlovsky, V. Y. Borisov, B. A. Voinov, G. I. Simonova, A. N. Starostin, V. G. Posukh, G. P. Tatsis, V. Y. Baranov, “Three-dimensional microwave tomography: experimental prototype of the system and vector Born reconstruction method,” IEEE Trans. Biomed. Eng. 46, 937–946 (1999). [CrossRef] [PubMed]
  26. A. Abubakar, P. M. van den Berg, B. Kooij, “A conjugate gradient contrast source technique for 3D profile inversion,” IEICE Trans. Electron. E83-C, 1864–1874 (2000).
  27. H. Harada, M. Tanaka, T. Takenaka, “Image reconstruction of a three-dimensional dielectric object using a gradient-based optimization,” Microwave Opt. Technol. Lett. 29, 332–336 (2001). [CrossRef]
  28. V. Hutson, J. S. Pym, Applications of Functional Analysis and Operator Theory (Academic, New York, 1980).
  29. T. Tanaka, N. Kuroki, T. Takenaka, “Filtered forward–backward time-stepping method applied to reconstruction of dielectric cylinders,” J. Electromagn. Waves Appl. 17, 253–270 (2003). [CrossRef]
  30. T. Takenaka, H. Jia, T. Tanaka, “Microwave imaging of an anisotropic cylindrical object by a forward–backward time-stepping method,” IEICE Trans. Electron. E84-C, 1910–1916 (2001).

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