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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. 25, Iss. 12 — Dec. 1, 2008
  • pp: 3030–3042

Statistical properties of three-dimensional speckle distributions produced by crossed scattered waves

Takashi Okamoto and Shuhei Fujita  »View Author Affiliations


JOSA A, Vol. 25, Issue 12, pp. 3030-3042 (2008)
http://dx.doi.org/10.1364/JOSAA.25.003030


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Abstract

The statistical properties of three-dimensional normal and fractal speckle fields produced by two or three scattered waves crossed orthogonally are studied theoretically. The probability density function and the autocorrelation function of intensity are derived for speckle fields superposed with and without interference. It is shown that the spatial anisotropy of intensity distributions exists even when three scattered waves interfere with one another. This spatial anisotropy affects the power-law distribution of intensity correlation for fractal speckles and leads to intensity patterns that are not self-similar in two or three dimensions. A potential application of the superposed speckle field is proposed.

© 2008 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(220.3740) Optical design and fabrication : Lithography

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: August 1, 2008
Revised Manuscript: October 7, 2008
Manuscript Accepted: October 10, 2008
Published: November 19, 2008

Citation
Takashi Okamoto and Shuhei Fujita, "Statistical properties of three-dimensional speckle distributions produced by crossed scattered waves," J. Opt. Soc. Am. A 25, 3030-3042 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-12-3030


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