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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 1 — Jan. 1, 2001
  • pp: 108–116

Double-scatter cross sections for two-dimensional random rough surfaces that exhibit backscatter enhancement

Ezekiel Bahar and Magda El-Shenawee  »View Author Affiliations

JOSA A, Vol. 18, Issue 1, pp. 108-116 (2001)

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Full-wave solutions are given for the single- and double-scatter radar cross sections for two-dimensional random rough surfaces. High-frequency approximations are used for the double-scatter cross sections in order to express them as numerically tractable four-dimensional integrals. The major contributions to the double-scatter cross sections are associated with the quasi-parallel and quasi-antiparallel double-scatter paths. They come from the neighborhoods of specular points. The enhancement of the backscatter cross sections, which is associated with the quasi-antiparallel double-scatter paths, is observed for both the like- and cross-polarized cross sections.

© 2001 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(240.0240) Optics at surfaces : Optics at surfaces
(260.0260) Physical optics : Physical optics
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(290.4210) Scattering : Multiple scattering
(290.5880) Scattering : Scattering, rough surfaces

Original Manuscript: May 9, 2000
Revised Manuscript: July 14, 2000
Manuscript Accepted: July 14, 2000
Published: January 1, 2001

Ezekiel Bahar and Magda El-Shenawee, "Double-scatter cross sections for two-dimensional random rough surfaces that exhibit backscatter enhancement," J. Opt. Soc. Am. A 18, 108-116 (2001)

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  1. E. Bahar, M. El-Shenawee, “Enhanced backscatter from one dimensional random rough surfaces—stationary phase approximations to full wave solutions,” J. Opt. Soc. Am. A 12, 151–161 (1995). [CrossRef]
  2. E. Bahar, Y. Zhang, “A new unified full wave approach to evaluate the scatter cross sections of composite random rough surfaces,” IEEE Trans. Geosci. Remote Sens. 34, 973–980 (1996). [CrossRef]
  3. M. I. Sancer, “Shadow-corrected electromagnetics scattering from a randomly rough surface,” IEEE Trans. Antennas Propag. AP-17, 577–585 (1969). [CrossRef]
  4. E. Bahar, M. El-Shenawee, “Vertically and horizontally polarized diffuse double scatter cross sections of one dimensional random rough surfaces that exhibit enhanced backscatter—full wave solutions,” J. Opt. Soc. Am. A 11, 2271–2285 (1994). An extensive list of references on backscatter enhancement is published here. [CrossRef]
  5. M. El-Shenawee, E. Bahar, “Double scatter cross sections for two dimensional random rough surfaces—high frequency approximation,” presented at the 1995 IEEE AP-S International Symposium and UNC/URSI Radio Meeting, Newport Beach, Calif., June 18–23, 1995.
  6. A. A. Maradudin, E. R. Méndez, “Enhanced backscattering of light from weakly rough, random metal surfaces,” Appl. Opt. 32, 3335–3343 (1993). [CrossRef] [PubMed]
  7. A. Ishimaru, J. S. Chen, “Scattering from very rough surfaces based on the modified second order Kirchhoff approximation with angular and propagation shadowing,” J. Acoust. Soc. Am. 88, 1877–1883 (1990). [CrossRef]
  8. E. Bahar, E. M. Herzinger, M. A. Fitzwater, “Incoherent like and cross polarized cross sections of an anisotropic rough sea surface with swell,” J. Geophys. Res. [Oceans] 94, 2159–2169 (1989). [CrossRef]
  9. M. El-Shenawee, E. Bahar, “Double scatter radar cross sections for two dimensional random rough surfaces that exhibit backscatter enhancement,” presented at the meeting of the Applied Computational Electromagnetic Society, Monterey, Calif., March 18–22, 1996.

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