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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. 1, Iss. 2 — Feb. 1, 1984
  • pp: 192–200

Spectral and imaging properties of uniform diffusers

Marek Kowalczyk  »View Author Affiliations


JOSA A, Vol. 1, Issue 2, pp. 192-200 (1984)
http://dx.doi.org/10.1364/JOSAA.1.000192


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Abstract

The use of thin phase diffusers in coherent imaging systems is analyzed. A condition is derived that must be fulfilled to ensure that no part of incident light is specularly transmitted. This condition is expressed in terms of first-order statistics of the phase of light emerging from a diffuser. It is shown that random diffusers whose amplitude-transmittance argument (phase) is uniformly distributed in the (−π, π) interval do not pass the specular light while their rms phase corresponds to only 0.29 of a wavelength. Such diffusers will be called uniform ones. A method for forming a uniform diffuser is proposed. It is based on a recording of normal speckle patterns in phase-photosensitive materials with consideration of the exposure characteristics. Autocorrelation functions and power spectra of diffuser transmittance are evaluated for two types of exposure characteristics. For both these cases the image contrast of the uniformly illuminated diffuser is calculated.

© 1984 Optical Society of America

History
Original Manuscript: January 31, 1983
Manuscript Accepted: September 12, 1983
Published: February 1, 1984

Citation
Marek Kowalczyk, "Spectral and imaging properties of uniform diffusers," J. Opt. Soc. Am. A 1, 192-200 (1984)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-1-2-192


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References

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  10. The authors of Ref. 8 do not state explicitly that the rms phase is large, but this results from the discussion of their approach to validity. That is, the approach presented concerns, in substance, the continuous part of the spectrum, whereas the zero-order term is eliminated because of the rms phase increase.
  11. See the comment on this definition in Ref. 16.
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  14. See the approximation made in Eq. (A7) to Ref. 5, where 1-D formulas analogous to our Eqs. (5) and (6) are derived.
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  24. This is an assumption indeed since this does not follow from the fact that the first-order density is Gaussian. Also, the central-limit theorem may not be applied here since we assume that successively recorded patterns are not correlated. Thus they may be statistically dependent.
  25. Ref. 23, p. 195 .
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  27. Ref. 21, p. 201 .
  28. Ref. 21, p. 315 .
  29. Ref. 21, p. 178 .
  30. J. W. Goodman, “Role of coherence concept in the study of speckle,” Proc. Soc. Photo-Opt. Instrum. Eng. 194, 86–94 (1979).
  31. Ref. 21, p. 337 .

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