Redundant electromagnetic data for microwave imaging of three-dimensional dielectric objects

IEEE Transactions on Antennas and Propagation

Volumn 42, Issue 5, 1994, Pages 581-589

  Caorsi, S ^a   Gragnani, G L ^a   Pastorino, M ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIELECTRIC MATERIALS; DIELECTRIC PROPERTIES; ELECTRIC DISTORTION; ELECTRIC FIELDS; ELECTROMAGNETIC WAVE SCATTERING; INTEGRODIFFERENTIAL EQUATIONS; INVERSE PROBLEMS; LINEAR ALGEBRA; MATHEMATICAL MODELS; THREE DIMENSIONAL;

DIELECTRIC RECONSTRUCTION; MOMENT METHOD; MULTIILLUMINATION ANGLE MULTIVIEW APPROACH; REDUNDANT DATA;

IMAGE RECONSTRUCTION;

EID: 0028428016     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.299556     Document Type: Article

References (39)

1. R. F. Harrington, Field Computation by Moment Method. New York: Macmillan, 1968.
2. E. Wolf, “Three-dimensional structure determination of semitransparent objects from holographic data,” Opt. Commun., vol. 1, no. 4, pp. 153–156, 1969.
3. N. N. Bojarski, “Inverse scattering inverse source theory,” J. Math. Phys., vol. 22, no. 8, pp. 1647–1650, 1981.
4. R. M. Lewis, “Physical optics inverse diffraction,” IEEE Trans. Antennas Propagat., vol. AP-17, pp. 308–314, 1969.
5. W. R. Stone, “Exact direct and inverse scattering in spatial frequency/time space,” in Proc. URSI lnt. Symp. Electromagnetic Theory, Santiago de Compostela, Spain, 1983, pp. 275–279.
6. W. M. Boerner et al., Eds., “Inverse Methods in Electromagnetic Imaging, Parts 1 and 2. Dordrecht, Netherlands: Reidel, 1985, p. 1347.
7. N. Bleinstein and J. K. Cohen, “Nonuniqueness in the inverse source problem in acoustics and electromagnetics,” J. Math. Phys., vol. 18, no. 2, pp. 194–201, 1977.
8. A. J. Devaney, “Nonuniqueness in the inverse scattering problem,” J. Math. Phys., vol. 19, no. 7, pp. 1526–1691, 1978.
9. A. J. Devaney and G. C. Sherman, “Nonuniqueness in inverse source and scattering problems,” IEEE Trans. Antennas Propagat., vol. AP-30, pp. 1034–1037, 1982.
10. W. R. Stone, “A review and examination of results on uniqueness in inverse problems,” Radio Sci., vol. 22, pp. 1026–1030, 1987.
11. C. Pichot, L. Jofre, G. Peronnet, and J. C. Bolomey, “Active microwave imaging of inhomogeneous bodies,” IEEE Trans. Antennas Propagat., vol. AP-33, pp. 416–425, 1985.
12. M. Slaney, A. C. Kak, and L. E. Larsen, “Limitation of imaging with first-order diffraction tomography,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 860–873, 1984.
13. J. V. Candy and C. Pichot, “Active microwave imaging: a model-based approach,” IEEE Trans. Antennas Propagat., vol. 39, no. 3, pp. 285–290, 1991.
14. A. J. Devaney, “Reconstructive tomography with diffracting wavefield,” Inverse Problems, vol. 2, pp. 161–183, 1986.
15. J. F. Greenleaf, “Computerized tomography with ultrasound,” Proc. IEEE, vol. 71, pp. 330–337, 1983.
16. R. K. Mueller, M. Kaveh and G. Wade, “Reconstructive tomography and applications to ultrasonics,” Proc. IEEE, vol. 67, pp. 567–586, 1979.
17. A. J. Devaney, “Geophysical diffraction tomography,” IEEE Trans. Geosci. Remote Sensing, vol. GE-22, pp. 3–13, 1984.
18. M. M. Ney, A. M. Smith, and S. S. Stuchly, “A solution of electromagnetic imaging using pseudoinverse transformation,” IEEE Trans. Medical Imag., vol. MI-3, pp. 155–162, 1984.
19. D. K. Ghodgaonkar, O. P. Gandhi, and M. J. Hagmann, “Estimation of complex permittivities of three-dimensional inhomogeneous biological bodies,” IEEE Trans. Microwave Theory Tech., vol. MTT-31, pp. 442–446, 1983.
20. T. C. Guo and W. W. Guo, “Computation of electromagnetic wave scattering from an arbitrary three-dimensional inhomogeneous dielectric object,” IEEE Trans. Magnetics, vol. 25, pp. 2872–2874, 1989.
21. H. G. Schmidt-Weinmar, “Sampled-data solution to the inverse problem of optical scattering,” J. Opt. Soc. Amer., vol. 61, p. 1578A, 1971.
22. H. G. Schmidt-Weinmar, “Computation of the 3-D distribution of sources of optical scattering from complex-amplitude far-field data,” J. Opt. Soc. Amer., vol. 65, pp. 1188-1189A, 1975.
23. T. M. Habashi and D. G. Dudley, “Simultaneous inversion of permittivity and conductivity profiles using a renormalized source-type integral equation approach,” in Proc. URSI lnt. Symp. EM Theory, Stockholm, 1989, pp. 578–580.
24. W. C. Chew and Y. M. Wang, “Reconstruction of two-dimensional permittivity using the distorted Born iterative method,” IEEE Trans. Medical Imag., vol. 9, no. 2, pp. 218–225, 1990.
25. J. C. Bolomey, C. Pichot, and G. Gaboriaud, “Planar microwave camera for biomedical applications: Critical and prospective analysis of reconstruction algorithms,” Radio Sci., vol. 26, no. 2, pp. 541–549, 1991.
26. S. Caorsi, G. L. Gragnani, and M. Pastorino, “Equivalent current density reconstruction for microwave imaging purposes,” IEEE Trans. Microwave Theory Tech., vol. 37, no. 5, pp. 910–916, 1989.
27. S. Caorsi, G. L. Gragnani, and M. Pastorino, “An approach to microwave imaging using a multiview moment method solution for a two-dimensional infinite cylinder,” IEEE Trans. Microwave Theory Tech., vol. 39, no. 6, pp. 1062–1067, 1991.
28. M. M. Ney, “Method of moments as applied to electromagnetic problems,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 972–980, 1985.
29. A. J. Devaney and E. Wolf, “Radiating and nonradiating classical current distributions and the fields they generate,” Phys. Rev. D, vol. 8, no. 4, pp. 1044–1047, 1973.
30. C. Muller, “Electromagnetic radiation patterns and sources,” IRE Trans. Antennas vol. AP-4 224–232, 1956.
31. M. Fischer and K. J. Langenberg, “Limitations and defects of certain inverse scattering theories,” IEEE Trans. Antennas Propagat., vol. AP-32, pp. 1080–1088, 1984.
32. S. A. Johnson and M. L. Tracy, “Inverse scattering solutions by a sine basis, multiple source, moment method—part I: Theory,” Ultrasonic Imag., vol. 5, pp. 361–375, 1983.
33. T. J. Cavicchi, S. A. Johnson, and W. D. O'Brien, “Application of the sine basis moment method to the reconstruction of infinite circular cylinders,” IEEE Trans. Ultras., Ferroelectricity and Frequency Control, vol. 35, pp. 22–33, 1988.
34. S. A. Johnson, T-H. Yoon, and J.-W. Ra, “Inverse scattering solutions of scalar Helmholtz wave equation by a multiple source moment method,” Electron. Lett., vol. 19, pp. 130–132, 1983.
35. A. J. Devaney, “Generalized ART algorithm for diffraction tomography,” Inverse Problems, vol. 7, pp. 109–125, 1991.
36. T. M. Habashi and R. Mittra, “On some inverse methods in electro-magnetism,” J. Electromagnetic Waves and Appl, vol. 1, pp. 25–58, 1987.
37. H. Chaloupka, “Electromagnetic imaging of dielectric targets,” in [6].
38. C. T. Tai, “Dyadic Green's Functions in Electromagnetic Theory. Scranton: International Textbook, 1971.
39. T. Sarkar, D. D. Weiner, and V. K. Jain, “Some mathematical considerations in dealing with the inverse problem,” IEEE Trans. Antennas Propagat., vol. AP-29, pp. 373–379, 1981.