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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 11 — Nov. 1, 1976
  • pp: 1204–1210

Theory of speckle dependence on surface roughness

Hans M. Pedersen  »View Author Affiliations


JOSA, Vol. 66, Issue 11, pp. 1204-1210 (1976)
http://dx.doi.org/10.1364/JOSA.66.001204


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Abstract

The theory of speckle in partially coherent, monochromatic light is extended to cover the entire range of object roughness. For “almost white-noise“ objects it is shown how the speckle statistics are related to a Gaussian approximation of the object statistics. Within this approximation, general relations are derived for the spatial speckle correlation and the spatial Wiener spectrum. The theory is applied to calculate rms speckle contrast as function of object roughness, coherence of the illumination, and receiver plane defocusing.

© 1976 Optical Society of America

Citation
Hans M. Pedersen, "Theory of speckle dependence on surface roughness," J. Opt. Soc. Am. 66, 1204-1210 (1976)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-66-11-1204


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References

  1. H. Fujii and T. Asakura, "Effect of surface roughness on the statistical distribution of image speckle intensity," Opt. Commun. 11, 35–38 (1974).
  2. H. Fujii and T. Asakura, "A contrast variation of image speckle intensity under illumination of partially coherent light," Opt. Commun. 12, 32–38 (1974).
  3. H. Fujii and T. Asakura, "Statistical properties of image speckle patterns in partially coherent light," Nouv. Rev. Opt. 6, 5–14 (1975).
  4. J. Ohtsubo and T. Asakura, "Statistical properties of speckle intensity variations in the diffraction field under illumination of coherent light," Opt. Commun. 14, 30–34 (1975).
  5. J. Ohtsubo and T. Asakura, "Statistical properties of speckle intensity variations in the diffraction field under illumination of partially coherent light," Nouv. Rev. Opt. 6, 189–195 (1975).
  6. H. Fujii, T. Asakura, and Y. Shindo, "Measurements of surface roughness properties by means of laser speckle techniques," Opt. Commun. 16, 68–72 (1976).
  7. H. M. Pedersen, "The roughness dependence of partially developed, monochromatic speckle patterns," Opt. Commun. 12, 156–159 (1974).
  8. J. W. Goodman, "Dependence of image speckle contrast on surface roughness," Opt. Commun. 14, 324–327 (1975).
  9. H. M. Pedersen, "Object-roughness dependence of partially developed speckle patterns in coherent light," Opt. Commun. 16, 63–67 (1976).
  10. J. C. Dainty, "Coherent addition of a uniform beam to a speckle pattern," J. Opt. Soc. Am. 62, 595–596 (1972).
  11. J. W. Goodman, "Statistical properties of laser speckle patterns," in Topics in Applied Physics, Vol. 9: Laser Speckle and Related Phenomena, edited by J. C. Dainty (Springer-Verlag, Berlin, 1975), pp. 9–75.
  12. N. George, A. Jain, and R. D. S. Melville, "Experiments on the space and wavelength dependence of speckle," Appl. Phys. 7, 157–169 (1975).
  13. W. T. Welford, "First order statistics of speckle produced by weak scattering media," Opt. Quant. Elect. 7, 413–416 (1975).
  14. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves fromt Rough Surfaces, (Pergamon, New York, 1963), part 1.
  15. J. C. Dainty, "Some statistical properties of random speckle patterns in coherent and partially coherent illumination," Opt. Acta 17, 761–772 (1970).
  16. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  17. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, England, 1970).
  18. G. Parry, "Speckle patterns in partially coherent light," in Topics in Applied Physics, Vol. 9: Laser Speckle and Related Phenomena, edited by J. C. Dainty (Springer-Verlag, Berlin, 1975), pp. 77–121.
  19. T. S. McKechnie, "Measurement of some second order statistical properties of speckle," Optik 39, 258–267 (1974).
  20. J. H. Laning, Jr. and R. H. Battin, Random Processes in Automatic Control (McGraw-Hill, New York, 1956), p. 83.
  21. H. H. Hopkins, "On the diffraction theory of optical imaging," Proc. R. Soc. Ser. A, 217, 408–432 (1953) [reprinted in Selected Papers on Coherence and Fluctuations of Light, edited by L. Mandel and E. Wolf (Dover, New York, 1970), p. 141].
  22. W. Gautschi and W. F. Cahill, "Exponential Integral and related Functions," in Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965), pp. 227–251.
  23. E. Jakeman and P. N. Pusey, "Non-Gaussian fluctuations in electromagnetic radiation scattered by a random phase screen I. Theory," J. Phys. A: Math. Gen. 8, 369–391 (1975); P. N. Pusey and E. Jakeman, "Non-Gaussian fluctuations in electromagnetic radiation scattered by a random phase screen II. Application to dynamic scattering in a liquid crystal," J. Phys. A: Math. Gen. 8, 392–410 (1975).

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