OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 9 — Sep. 1, 1999
  • pp: 2219–2231

Beam-tracing-based inverse scattering for general aperture antennas

Bimba Rao and Lawrence Carin  »View Author Affiliations

JOSA A, Vol. 16, Issue 9, pp. 2219-2231 (1999)

View Full Text Article

Acrobat PDF (549 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Iterative techniques are presented for two-dimensional inverse scattering from electrically large regions. The region is illuminated by transmitters with arbitrary profiles; this is an escalation in complexity from the line-source and the plane-wave excitations considered in many previous inverse-scattering studies. Imaging algorithms require an accurate and efficient forward model. Here a Gaussian-beam algorithm is utilized as a forward solver and is incorporated into an iterative-Born inversion scheme. General antenna profiles are incorporated into the algorithm by use of the matched-pursuits technique, by which the aperture fields are matched to the beam-tracing algorithm. Results are presented for several cases in which the simple Born approximation fails. Issues addressed include the types of profiles that can be successfully imaged, suitable antenna distributions, and the range of parameters over which the scheme is effective. Performance of the algorithm in the presence of noisy data is also tested.

© 1999 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(290.0290) Scattering : Scattering

Bimba Rao and Lawrence Carin, "Beam-tracing-based inverse scattering for general aperture antennas," J. Opt. Soc. Am. A 16, 2219-2231 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. B. Rao and L. Carin, “Inverse scattering for electrically large regions with a gaussian-beam forward model,” IEEE Trans. Antennas Propag. (to be published).
  2. V. Červený, M. M. Popov, and I. Pšenčik, “Computation of wave fields in inhomogeneous media—Gaussian beam approach,” Geophys. J. R. Astron. Soc. 70, 109–128 (1982).
  3. M. B. Porter and H. P. Bucker, “Gaussian beam tracing for computing ocean acoustic fields,” J. Acoust. Soc. Am. 82, 1349–1359 (1987).
  4. Y. M. Wang and W. C. Chew, “An iterative solution of the two-dimensional electromagnetic inverse scattering problem,” Int. J. Imaging Syst. Technol. 1, 100–108 (1989).
  5. W. C. Chew and Y. M. Wang, “Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method,” IEEE Trans. Med. Imaging 9, 218–225 (1990).
  6. A. J. Tijhuis, “Iterative determination of permittivity and conductivity profiles of a dielectric slab in time domain,” IEEE Trans. Antennas Propag. 29, 239–245 (1981).
  7. A. Franchois and C. Pichot, “Microwave imaging—complex permittivity reconstruction with a Levenberg–Marquardt method,” IEEE Trans. Antennas Propag. 45, 203–215 (1997).
  8. E. L. Miller and A. S. Willsky, “A multiscale, statistically based inversion scheme for linearized inverse scattering problems,” IEEE Trans. Geoscience Remote Sens. 34, 346–357 (1995).
  9. S. G. Mallat and Z. Zhang, “Matching pursuits with a wave-based dictionary,” IEEE Trans. Signal Process. 45, 2912–2927 (1997).
  10. D. T. Borup and O. P. Gandhi, “Calculation of high resolution SAR distributions in biological bodies using the FFT algorithm and conjugate gradient method,” IEEE Trans. Microwave Theory Tech. MTT-33, 417–419 (1985).
  11. R. F. Harrington, Field Computation by Moment Methods (Kreiger, Malabar, Fla., 1985).
  12. A. J. Devaney, “A computer simulation study of diffraction tomography,” IEEE Trans. Biomed. Eng. 30, 377–386 (1983).
  13. A. J. Devaney, “A filtered backpropagation algorithm for diffraction tomography,” Ultrason. Imaging 4, 336–360 (1982).
  14. A. J. Devaney, “Inverse-scattering theory within the Rytov approximation,” Opt. Lett. 6, 374–376 (1981).
  15. W. Tabbara, B. Duchene, Ch. Pichot, D. Lesselier, L. Chomeloux, and N. Joachimowicz, “Diffraction tomography: contribution to the analysis of applications in microwaves and ultrasonics,” Inverse Probl. 4, 305–331 (1988).
  16. M. H. Reilly and E. L. Strobel, “Efficient ray tracing through a realistic ionosphere,” Radio Sci. 23, 247–256 (1988).
  17. F. B. Jensen, W. A. Kuperman, M. B. Porter, and H. Schmidt, eds., Computational Ocean Acoustics (American Institute of Physics, New York, 1994), Chap. 3.
  18. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, N.J., 1973), Chap. 4 (republished by the Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1994).
  19. B. Rao, “Gabor based gaussian beam tracing algorithm for wave propagation through large inhomogeneous regions,” M.S. thesis (Duke University, Durham, N.C., 1997).
  20. D. Gabor, “Theory of communication,” J. Inst. Elect. Eng. 93, 429–457 (1946).
  21. J. J. Maciel and L. B. Felsen, “Systematic study of fields due to extended apertures by Gaussian beam discretization,” IEEE Trans. Antennas Propag. 37, 884–892 (1989).
  22. J. J. Maciel and L. B. Felsen, “Gaussian beam analysis of propagation from an extended plane aperture distribution through dielectric layers. I. Plane layer; II. Circular cylindrical layer,” IEEE Trans. Antennas Propag. 38, 1608–1624 (1990).
  23. B. Rao and L. Carin, “A hybrid (parabolic equation)-(gaussian beam) algorithm for wave propagation through large inhomogeneous regions,” IEEE Trans. Antennas Propag. 46, 700–709 (1998).
  24. C. T. H. Baker, The Numerical Treatment of Integral Equations (Clarendon, Oxford, 1977).
  25. A. N. Tikhonov and V. Y. Arsenin, Solution of Ill-Posed Problems (Winston, Washington D.C., 1977).
  26. K. S. Kunz and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics (CRC Press, Boca Raton, Fla., 1993).
  27. M. Moghaddam and W. Chew, “Nonlinear two-dimensional velocity profile inversion using time-domain data,” IEEE Trans. Geosci. Remote Sens. 30, 147–156 (1992).
  28. P. G. Petropoulos, “Phase error control for FDTD methods of second and fourth order accuracy,” IEEE Trans. Antennas Propag. 42, 859–862 (1994).
  29. B. Rao, “Imaging algorithms for electrically large targets,” Ph.D. dissertation (Duke University, Durham, N.C., 1999).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited