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

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References

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  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).

1978

1977

R. J. Mongeon, "Laser Vibration Probes," CLEA Digest 1977, in IEEE J. Quant. Electron, QE-13, 798ff. 16D (1977).

R. O. Claus and C. H. Palmer, "Direct measurement of ultrasonic Stoneley waves," Appl. Phys. Lett. 31, 547–548 (1977).

1976

1975

J. W. Goodman, "Dependence of image speckle contrast on surface roughness," Opt. Commun. 14, 324–327 (1975).

Bendat, J. S.

J. S. Bendat and A. G. Piersol, Random Data (Wiley Interscience, New York, 1971).

Claus, R. O.

R. O. Claus and C. H. Palmer, "Direct measurement of ultrasonic Stoneley waves," Appl. Phys. Lett. 31, 547–548 (1977).

Donati, S.

S. Donati, "Laser interferometry by induced modulation of cavity field," J. Appl. Phys. 49(2), 495–497 (1978).

Goodman, J. W.

J. W. Goodman, "Some fundamental properties of speckle," J. Opt. Soc. Am. 66, 1145–1150 (1976).

J. W. Goodman, "Dependence of image speckle contrast on surface roughness," Opt. Commun. 14, 324–327 (1975).

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.

Middleton, D.

D. Middleton: Introduction to Statistical Communication Theory (McGraw-Hill, New York, 1960).

Mongeon, R. J.

R. J. Mongeon, "Laser Vibration Probes," CLEA Digest 1977, in IEEE J. Quant. Electron, QE-13, 798ff. 16D (1977).

Palmer, C. H.

R. O. Claus and C. H. Palmer, "Direct measurement of ultrasonic Stoneley waves," Appl. Phys. Lett. 31, 547–548 (1977).

Piersol, A. G.

J. S. Bendat and A. G. Piersol, Random Data (Wiley Interscience, New York, 1971).

Trowbridge, T. S.

Appl. Phys. Lett.

R. O. Claus and C. H. Palmer, "Direct measurement of ultrasonic Stoneley waves," Appl. Phys. Lett. 31, 547–548 (1977).

IEEE J. Quant. Electron

R. J. Mongeon, "Laser Vibration Probes," CLEA Digest 1977, in IEEE J. Quant. Electron, QE-13, 798ff. 16D (1977).

J. Opt. Soc. Am.

Opt. Commun.

J. W. Goodman, "Dependence of image speckle contrast on surface roughness," Opt. Commun. 14, 324–327 (1975).

Other

J. S. Bendat and A. G. Piersol, Random Data (Wiley Interscience, New York, 1971).

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.

D. Middleton: Introduction to Statistical Communication Theory (McGraw-Hill, New York, 1960).

S. Donati, "Laser interferometry by induced modulation of cavity field," J. Appl. Phys. 49(2), 495–497 (1978).

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