OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 2, Iss. 12 — Dec. 1, 1985
  • pp: 2285–2294

Application of the phase-perturbation technique to randomly rough surfaces

Dale P. Winebrenner and Akira Ishimaru  »View Author Affiliations


JOSA A, Vol. 2, Issue 12, pp. 2285-2294 (1985)
http://dx.doi.org/10.1364/JOSAA.2.002285


View Full Text Article

Enhanced HTML    Acrobat PDF (1129 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The phase-perturbation method for the computation of fields scattered by rough surfaces is reviewed and then a method for calculating moments of the field scattered from randomly rough surfaces is investigated. In previous work, the authors have shown that the phase-perturbation method can provide an accurate approximation to the fields scattered from deterministic rough surfaces, even in cases when the rms surface-height variation is significant compared to the radiation wavelength. The present work employs cumulants to develop a systematic averaging procedure that retains this advantage, in the case of scalar-wave scattering from surfaces on which Dirichlet boundary conditions hold. The resulting expressions for the moments of the scattered field are shown to reduce to classical small roughness and physical-optics expressions in the appropriate limits. Numerical results for the magnitude of the coherent reflection coefficient in two test cases are also presented.

© 1985 Optical Society of America

History
Original Manuscript: May 3, 1985
Manuscript Accepted: August 26, 1985
Published: December 1, 1985

Citation
Dale P. Winebrenner and Akira Ishimaru, "Application of the phase-perturbation technique to randomly rough surfaces," J. Opt. Soc. Am. A 2, 2285-2294 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-12-2285


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Ishimaru, Wave Propagation and Scattering in Random Media, (Academic, New York, 1978).
  2. F. T. Ulaby, R. K. Moore, A. K. Fung, Microwave Remote Sensing: Active and Passive (Addison-Wesley, Reading, Mass., 1982), Vol. II.
  3. D. Winebrenner, A. Ishimaru, “Investigation of a surface field phase-perturbation technique for scattering from rough surfaces,” Radio Sci. 20, 161–170 (1985). [CrossRef]
  4. H. Hoinkes, “The physical interaction potential of gas atoms with single-crystal surfaces, determined from gas-surface diffraction experiments.” Rev. Mod. Phys. 52, 933–970 (1980). [CrossRef]
  5. D. P. Winebrenner, “A surface field phase-perturbation technique for scattering from rough surfaces,” Ph.D. dissertation (University of Washington, Seattle, Wash., 1985).
  6. B. B. Baker, E. T. Copson, The Mathematical Theory of Huygen’s Principle, 2nd ed. (Oxford U. Press, London, 1950).
  7. P. C. Waterman, “Scattering by periodic surfaces,” J. Acoust. Soc. Am. 57, 791–802 (1975). [CrossRef]
  8. P. A. Martin, “Acoustic scattering and radiation problems, and the null-field method,” Wave Motion 4, 391–408 (1982). [CrossRef]
  9. M. Nieto-Veserinas, N. Garcia, “A detailed study of the scattering of scalar waves from random rough surfaces,” Opt. Acta 28, 1651–1672 (1981). [CrossRef]
  10. A. M. Yaglom, An Introduction to the Theory of Stationary Random Functions, translated by R. A. Silverman (Prentice-Hall, Englewood Cliffs, N.J., 1962).
  11. J. Shen, A. A. Maradudin, “Multiple scattering of waves from random rough surfaces,” Phys. Rev. B 22, 4234–4240 (1980). [CrossRef]
  12. M. G. Kendall, A. Stuart, The Advanced Theory of Statistics (Hafner, New York, 1963).
  13. R. L. Stratonovich, Topics in the Theory of Random Noise, Part 1, Mathematics and Its Applications Series, Vol. 3, translated from Russian by R. A. Silverman (Gordon and Breach, New York, 1963).
  14. D. Middleton, An Introduction to Statistical Communication Theory (McGraw-Hill, New York, 1960).
  15. J. G. Zornig, J. F. McDonald, “Direct measurement of surface-scatter channel coherence by impulse probing,” J. Acoust. Soc. Am. 55, 1205–1211 (1974). [CrossRef]
  16. O. M. Phillips, The Dynamics of the Upper Ocean, 2nd ed. (Cambridge U. Press, Cambridge, 1980).
  17. P. J. Welton, “Backscattering from randomly rough surfaces,” Rev. Cathedec, no. 60 (1979).
  18. S. T. McDaniel, A. D. Gorman, “An examination of the composite-roughness scattering model,” J. Opt. Soc. Am. 73, 1476–1486(1983).
  19. F. M. Labianca, E. Y. Harper, “Connection between various small waveheight solutions of the problem of scattering from the ocean surface,” J. Acoust. Soc. Am. 62, 1144–1157 (1977). [CrossRef]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited