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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 2, Iss. 10 — Oct. 1, 1985
  • pp: 1787–1792

Statistical properties of the speckle phase in the optical imaging system

Hirofumi Kadono and Toshimitsu Asakura  »View Author Affiliations


JOSA A, Vol. 2, Issue 10, pp. 1787-1792 (1985)
http://dx.doi.org/10.1364/JOSAA.2.001787


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Abstract

First-order statistics of the speckle phase are studied on an axis of the imaging system under the assumption of Gaussian statistics for the formation of the speckle field. It is found that the speckle phase is most widely distributed at the image plane owing to the noncircularity of the speckle field. Asymmetry of the probability-density distribution of the speckle phase also appears to be due to the inclination of the joint probability density of the complex speckle amplitude. These statistical characteristics of the speckle phase are enhanced for relatively small values of the optical roughness of the object.

© 1985 Optical Society of America

History
Original Manuscript: December 18, 1984
Manuscript Accepted: May 20, 1985
Published: October 1, 1985

Citation
Hirofumi Kadono and Toshimitsu Asakura, "Statistical properties of the speckle phase in the optical imaging system," J. Opt. Soc. Am. A 2, 1787-1792 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-10-1787


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References

  1. J. Ohtsubo, T. Asakura, “Statistical properties of speckle intensity variations in the diffraction field under illumination of coherent light,” Opt. Commun. 14, 30–34 (1975). [CrossRef]
  2. J. W. Goodman, “Dependence of image speckle contrast on surface roughness,” Opt. Commun. 14, 324–327 (1975). [CrossRef]
  3. J. Uozumi, T. Asakura, “First-order probability density function of the laser speckle phase,” Opt. Quantum Electron. 12, 447–494 (1980). [CrossRef]
  4. J. Uozumi, T. Asakura, “First-order intensity and phase statistics of Gaussian speckle produced in the diffraction region,” Appl. Opt. 20, 1454–1466 (1981). [CrossRef] [PubMed]
  5. E. Jakeman, W. T. Welford, “Speckle statistics in imaging systems,” Opt. Commun. 21, 72–79 (1977). [CrossRef]
  6. K. Ouchi, “Statistics of image plane speckle,” Opt. Quantum Electron. 12, 237–243 (1980). [CrossRef]

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