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Applied Optics

Applied Optics


  • Vol. 37, Iss. 25 — Sep. 1, 1998
  • pp: 5985–5992

Backscatter linear and circular polarization analysis of roughened aluminum

Gareth D. Lewis, David L. Jordan, and Eric Jakeman  »View Author Affiliations

Applied Optics, Vol. 37, Issue 25, pp. 5985-5992 (1998)

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A study of cross-polarized and copolarized intensities backscattered from roughened aluminum surfaces is presented for both linear and circular incident polarization states. The angular variation of measured Mueller matrices is shown to contain only diagonal elements, as predicted by the reciprocity theorem. The ratio of cross-depolarized to copolarized scattered intensities is significantly larger for circular than for linear input polarization states. In the linear case the ratio saturates beyond 50°, whereas in the circular case the ratio continues to increase monotonically with angle. A phenomenological model for copolarization and cross-polarization intensities is shown to predict the observed behavior of both linear and circular input polarization states up to incident angles of 70°.

© 1998 Optical Society of America

OCIS Codes
(240.6700) Optics at surfaces : Surfaces
(260.5430) Physical optics : Polarization
(290.1350) Scattering : Backscattering

Original Manuscript: March 11, 1998
Revised Manuscript: May 1, 1998
Published: September 1, 1998

Gareth D. Lewis, David L. Jordan, and Eric Jakeman, "Backscatter linear and circular polarization analysis of roughened aluminum," Appl. Opt. 37, 5985-5992 (1998)

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  1. M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics (Wiley, New York, 1991).
  2. E. I. Thorsos, D. R. Jackson, “Studies of scattering theory using numerical methods,” Waves Random Media 3, 5165–5190 (1991).
  3. J. M. Bennett, L. Mattsson, Introduction to Surface Roughness and Scattering (Optical Society of America, Washington, D.C., 1989).
  4. K. A. O’Donnell, M. E. Knotts, “Polarization-dependence of scattering from one-dimensional rough surfaces,” J. Opt. Soc. Am. A 8, 1126–1131 (1991). [CrossRef]
  5. T. R. Michel, M. E. Knotts, K. A. O’Donnell, “Stokes matrix of a one-dimensional perfectly conducting rough surface,” J. Opt. Soc. Am. A 9, 585–596 (1992). [CrossRef]
  6. M. E. Knotts, T. R. Michel, K. A. O’Donnell, “Comparisons of theory and experiment in light scattering from a randomly rough surface,” J. Opt. Soc. Am. A 10, 928–941 (1993). [CrossRef]
  7. M. E. Knotts, K. A. O’Donnell, “Measurements of light scattering by a series of conducting surfaces with one-dimensional roughness,” J. Opt. Soc. Am. A 11, 697–709 (1994). [CrossRef]
  8. J. Cariou, B. Le. Jeune, J. Lotrian, Y. Guern, “Polarization effects of seawater and underwater targets,” Appl. Opt. 29, 1689–1695 (1990). [CrossRef] [PubMed]
  9. K. A. O’Donnell, E. R. Mendez, “Experimental study of scattering from characterized random surfaces,” J. Opt. Soc. Am. A 4, 1194–1205 (1987). [CrossRef]
  10. E. R. Mendez, K. A. O’Donnell, “Observation of depolarization and backscattering enhancement in light scattering from Gaussian random surfaces,” Opt. Commun. 61, 91–95 (1987). [CrossRef]
  11. D. L. Jordan, F. Moreno, “Enhanced backscattering and cross depolarization from multiscale surfaces,” J. Opt. Soc. Am. A 10, 1989–1995 (1993). [CrossRef]
  12. D. L. Knepp, H. L. Houpis, “Altair VHF/UHF observations of multipath and backscatter enhancement,” IEEE Trans. Antennas Propag. 39, 528–534 (1991). [CrossRef]
  13. P. Phu, A. Ishimaru, Y. Kuga, “Copolarized and cross-polarized enhanced backscattering from two-dimensional very rough surfaces at millimeter wave frequencies,” Radio Sci. 29, 1275–1291 (1994). [CrossRef]
  14. A. Ishimaru, “Backscattering enhancement from radar cross-sections to electrons and light localizations to rough surface scattering,” IEEE Antennas Propag. Mag. 33, 7–11 (1991). [CrossRef]
  15. E. Jakeman, “Scattering by particles on an interface,” Appl. Phys. 27, 198–210 (1994).
  16. J. E. Geake, M. Geake, B. H. Zellner, “Experiments to test theoretical models of the polarization of light by rough surfaces,” Mon. Notes R. Astron. Soc. 210, 89–112 (1984).
  17. M. W. Long, “On the polarization and the wavelength dependence of sea echo,” IEEE Trans. Antennas Propag. AP-13, 749–754 (1965). [CrossRef]
  18. H. Goldstein, “Sea Echo,” in Propagation of Short Radio Waves, D. E. Kerr, ed. (Peregrinus, London, 1987), Chap. 7.
  19. E. Jakeman, “A particle model for scattering by two-scale rough surfaces,” in Progress in Electromagnetics Research Symposium (PIERS) (Kluwer/Academic, Dordrecht, The Netherlands, 1994, CD-ROM).
  20. E. Collett, Polarized Light: Fundamentals and Applications (Dekker, New York, 1993), pp. 103–106.
  21. W. S. Bickel, W. M. Bailey, “Stokes vectors, Mueller matrices, and polarized scattered light,” Am. J. Phys. 53, 468–478 (1985). [CrossRef]
  22. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), p. 132.
  23. D. L. Jordan, G. D. Lewis, E. Jakeman, “Emission polarization of roughened glass and aluminum surfaces,” Appl. Opt. 35, 3583–3589 (1996). [CrossRef] [PubMed]
  24. G. D. Lewis, D. L. Jordan, “Backscattering Mueller matrices from bead-blasted aluminum surfaces,” in Polarization: Measurement, Analysis, and Remote Sensing, R. A. Chipman, ed., Proc SPIE3121, 434–443 (1997).
  25. S. R. Cloude, “The physical interpretation of eigenvalue problems in optical scattering polarimetry,” in Polarization: Measurement, Analysis, and Remote Sensing, R. A. Chipman, ed., Proc. SPIE3121, 88–99 (1997). [CrossRef]
  26. M. Pitter, E. Jakeman, M. Harris, “Heterodyne detection of enhanced backscatter,” Opt. Lett. 22, 393–395 (1997). [CrossRef] [PubMed]
  27. D. L. Jordan, “Experimental measurements of optical backscattering from surfaces of roughness comparable to the wavelength and their application to radar sea scattering,” Waves Random Media 5, 41–54 (1995). [CrossRef]
  28. J. Renau, P. K. Cheo, H. G. Cooper, “Depolarization of linearly polarized EM waves backscattered from rough metals and inhomogeneous dielectrics,” J. Opt. Soc. Am. 58, 459–466 (1967). [CrossRef]
  29. J. V. Evans, T. Hagfors, “Study of radio echoes from the Moon at 23 centimetres wavelength,” J. Geophys. Res. 71, 4871–4889 (1966). [CrossRef]
  30. G. Videen, W. L. Wolfe, W. S. Bickel, “Light scattering Mueller matrix for a surface contaminated by a single particle in the Rayleigh limit,” Opt. Eng. 31, 341–343 (1992). [CrossRef]
  31. D. L. Jordan, R. C. Hollins, E. Jakeman, “Experimental measurements of non-Gaussian scattering by a fractal diffuser,” Appl. Phys. B 31, 179–186 (1983). [CrossRef]

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