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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. 17, Iss. 6 — Jun. 1, 2000
  • pp: 1092–1097

Irradiance-variance behavior by numerical simulation for plane-wave and spherical-wave optical propagation through strong turbulence

Stanley M. Flatté and James S. Gerber  »View Author Affiliations


JOSA A, Vol. 17, Issue 6, pp. 1092-1097 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001092


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Abstract

We have simulated optical propagation through atmospheric turbulence in which the spectrum near the inner scale follows that of Hill and Clifford [J. Opt. Soc. Am. 68, 892 (1978)] and the turbulence strength puts the propagation into the asymptotic strong-fluctuation regime. Analytic predictions for this regime have the form of power laws as a function of β02, the irradiance variance predicted by weak-fluctuation (Rytov) theory, and l0, the inner scale. The simulations indeed show power laws for both spherical-wave and plane-wave initial conditions, but the power-law indices are dramatically different from the analytic predictions. Let σI2-1=a(β02/βc2)-b(l0/Rf)c, where we take the reference value of β02 to be βc2=60.6, because this is the center of our simulation region. For zero inner scale (for which c=0), the analytic prediction is b=0.4 and a=0.17 (0.37) for a plane (spherical) wave. Our simulations for a plane wave give a=0.234±0.007 and b=0.50±0.07, and for a spherical wave they give a=0.58±0.01 and b=0.65±0.05. For finite inner scale the analytic prediction is b=1/6,c=7/18 and a=0.76 (2.07) for a plane (spherical) wave. We find that to a reasonable approximation the behavior with β02 and l0 indeed factorizes as predicted, and each part behaves like a power law. However, our simulations for a plane wave give a=0.57±0.03,b=0.33±0.03, and c=0.45±0.06. For spherical waves we find a=3.3±0.3,b=0.45±0.05, and c=0.8±0.1.

© 2000 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(030.6600) Coherence and statistical optics : Statistical optics

History
Original Manuscript: August 11, 1999
Revised Manuscript: February 22, 2000
Manuscript Accepted: February 22, 2000
Published: June 1, 2000

Citation
Stanley M. Flatté and James S. Gerber, "Irradiance-variance behavior by numerical simulation for plane-wave and spherical-wave optical propagation through strong turbulence," J. Opt. Soc. Am. A 17, 1092-1097 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-6-1092

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