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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 12 — Dec. 1, 1979
  • pp: 1690–1694

Speckle-pattern intensity and phase: Second-order conditional statistics

Silvano Donati and Giuseppe Martini  »View Author Affiliations


JOSA, Vol. 69, Issue 12, pp. 1690-1694 (1979)
http://dx.doi.org/10.1364/JOSA.69.001690


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Abstract

An analysis of the second-order conditional statistics of speckle patterns is developed, under the assumption of Gaussian field components. After deriving the conditional distributions and moments of intensity and phase for a joint measurement performed in the presence of partial correlation, the results of joint and conditional phase-variances are applied to determine the accuracy limits of speckle-pattern interferometric measurements.

© 1980 Optical Society of America

Citation
Silvano Donati and Giuseppe Martini, "Speckle-pattern intensity and phase: Second-order conditional statistics," J. Opt. Soc. Am. 69, 1690-1694 (1979)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-69-12-1690


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References

  1. J. W. Goodman, "Some fundamental properties of speckle," J. Opt. Soc. Am. 66, 1145–1150 (1976).
  2. J. W. Goodman, "Statistical properties of laser speckle pattern," in Laser Speckle and Related Phenomena, Topics in Applied Phys., Vol. 9, edited by J. C. Dainty (Springer-Verlag, Berlin, 1975), pp. 9–75.
  3. D. Middleton: Introduction to Statistical Communication Theory (McGraw-Hill, New York, 1960).
  4. J. W. Goodman, "Dependence of image speckle contrast on surface roughness," Opt. Commun. 14, 324–327 (1975).
  5. J. S. Bendat and A. G. Piersol, Random Data (Wiley Interscience, New York, 1971).
  6. R. J. Mongeon, "Laser Vibration Probes," CLEA Digest 1977, in IEEE J. Quant. Electron, QE-13, 798ff. 16D (1977).
  7. R. O. Claus and C. H. Palmer, "Direct measurement of ultrasonic Stoneley waves," Appl. Phys. Lett. 31, 547–548 (1977).
  8. S. Donati, "Laser interferometry by induced modulation of cavity field," J. Appl. Phys. 49(2), 495–497 (1978).
  9. T. S. Trowbridge, "Retroreflection from rough surfaces," J. Opt. Soc. Am. 68, 1225–1242 (1978).

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