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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. 3, Iss. 8 — Aug. 1, 1986
  • pp: 1283–1292

Non-Gaussian speckle caused by thin phase screens of large root-mean-square phase variations and long single-scale autocorrelations

Bruce Martin Levine  »View Author Affiliations


JOSA A, Vol. 3, Issue 8, pp. 1283-1292 (1986)
http://dx.doi.org/10.1364/JOSAA.3.001283


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Abstract

Non-Gaussian speckle generated by the coherent superposition of a small number of random complex amplitudes can be physically realized through the elastic scattering of incident monochromatic radiation with a thin, nondepolarizing random phase screen. Under conditions of Gaussian-distributed phase fluctuations whose rms is much greater than 2π rad, whose lateral autocorrelation is Gaussian in shape with a correlation length z greater than twice the wavelength of the illumination, and for which the ratio of these two is less than 0.05, the Kirchhoff diffraction integral approximation can be applied. A series solution for the first and second intensity moments for the far field is derived and presented. The steepest-descents solution given by Jakeman McWhirter [ Appl. Phys. B 26, 125 ( 1981)] converges to the given series solution for the mean intensity. With improved experimental technique, measurements of the normalized second moment are shown to agree with Jakeman and McWhirter’s approximation over a wide range of illuminated scattering centers. A computer simulation of this experiment for phase objects of up to 50-rad rms phase deviations is shown to agree well with predictions of the mean intensity. The second moments agree well in the low- and high-illumination limits but systematically overestimate the normalized second moment near the peak of each curve.

© 1986 Optical Society of America

History
Original Manuscript: January 6, 1986
Manuscript Accepted: April 9, 1986
Published: August 1, 1986

Citation
Bruce Martin Levine, "Non-Gaussian speckle caused by thin phase screens of large root-mean-square phase variations and long single-scale autocorrelations," J. Opt. Soc. Am. A 3, 1283-1292 (1986)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-3-8-1283

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