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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Journal of the Optic...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Saturation of anisoplanatic error in Kolmogorov and non-Kolmogorov turbulence

Authors: Jeremy P. Bos;

Saturation of anisoplanatic error in Kolmogorov and non-Kolmogorov turbulence

Abstract

This work explores the conditions resulting in the saturation of angular anisoplanatic error. When turbulence is modeled with a von Kármán outer scale or when the piston and aperture tilt are compensated the anisoplanatic error can saturate to less than one squared radian. In Kolmogorov turbulence anisoplanatic error is limited to values smaller than one when the ratio of the Fried parameter to the outer scale is 0.349. To understand the effect of compensation on saturation both a first-order asymptotic approach and numerical integration are considered for both plane and spherical wave sources and in non-Kolmogorov turbulence. Asymptotic expressions are found to agree with the numerical results as long as the ratio of the outer scale to aperture size is less than five. For a plane wave propagating in Kolmogorov turbulence, the compensated anisoplanatic error is found to saturate when D / r 0 =3.9, and the outer scale is equal to the aperture size. When a spherical wave source is considered D / r 0 increases to 5.8; as expected these values are related by a factor of 1.8. This work also formulates the anisoplanatic error in terms of an integrated strength parameter and the mean turbulence height allowing extension to arbitrary path geometries and power law exponents. Using this approach I find smaller power law exponents increase the mean turbulence height, thereby decreasing the isoplanatic angle; the opposite applies as the power law exponent is increased relative to Kolmogorov turbulence.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
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