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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

  • Editor: Franco Gori
  • Vol. 28, Iss. 8 — Aug. 1, 2011
  • pp: 1732–1740

Wavefront propagation in turbulence: an unified approach to the derivation of angular correlation functions

Guillaume Molodij  »View Author Affiliations


JOSA A, Vol. 28, Issue 8, pp. 1732-1740 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001732


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Abstract

A general expression of the spatial correlation functions of quantities related to the phase fluctuations of a wave that have propagated through the atmospheric turbulence are derived. A generalization of the method to integrand containing the product of an arbitrary number of hypergeometric functions is presented. The formalism is able to give the coefficients of phase-expansion functions orthogonal over an arbitrary circularly symmetric weighting function for an isotropic turbulence spectrum, as well as to describe the effect of the finite outer and inner scales of the turbulence and to describe the spherical propagation or to derive the effects of the analytical operators acting on the phase such as the derivatives of any order. The derivation of the generalized integrals with multiparameters is based on the Mellin transforms integration method.

© 2011 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(350.1270) Other areas of optics : Astronomy and astrophysics

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: March 16, 2011
Revised Manuscript: June 26, 2011
Manuscript Accepted: June 27, 2011
Published: July 28, 2011

Citation
Guillaume Molodij, "Wavefront propagation in turbulence: an unified approach to the derivation of angular correlation functions," J. Opt. Soc. Am. A 28, 1732-1740 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-8-1732

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