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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 5 — May. 1, 1979
  • pp: 712–717

Spatial correlation of phase-expansion coefficients for propagation through atmospheric turbulence

George C. Valley and Stephen M. Wandzura  »View Author Affiliations


JOSA, Vol. 69, Issue 5, pp. 712-717 (1979)
http://dx.doi.org/10.1364/JOSA.69.000712


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Abstract

Spatial correlation functions of phase-expansion coefficients are derived for phase fluctuations of a wave that has propagated through a layer of atmospheric turbulence. First, a general expression is derived giving the correlation of the coefficients of phase-expansion functions orthogonal over an arbitrary circularly symmetric weighting function for an isotropic turbulence spectrum. Second, the correlations are evaluated analytically for a Gaussian weight and numerically for a uniform circular weight. Finally, some of the correlations for a layer are integrated over the Hufnagel 1974 structure constant model to obtain results applicable to ground-to-space propagation.

© 1979 Optical Society of America

Citation
George C. Valley and Stephen M. Wandzura, "Spatial correlation of phase-expansion coefficients for propagation through atmospheric turbulence," J. Opt. Soc. Am. 69, 712-717 (1979)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-69-5-712


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References

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