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Applied Optics

Applied Optics


  • Vol. 41, Iss. 6 — Feb. 20, 2002
  • pp: 957–964

Measurement of seeing and the atmospheric time constant by differential scintillations

Andrei Tokovinin  »View Author Affiliations

Applied Optics, Vol. 41, Issue 6, pp. 957-964 (2002)

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A simple differential analysis of stellar scintillations measured simultaneously with two apertures opens the possibility to estimate seeing. Moreover, some information on the vertical turbulence distribution can be obtained. A general expression for the differential scintillation index for apertures of arbitrary shape and for finite exposure time is derived, and its applications are studied. Correction for exposure time bias by use of the ratio of scintillation indices with and without time binning is studied. A bandpass-filtered scintillation in a small aperture (computed as the differential-exposure index) provides a reasonably good estimate of the atmospheric time constant for adaptive optics.

© 2002 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(280.7060) Remote sensing and sensors : Turbulence

Original Manuscript: November 10, 2000
Revised Manuscript: September 7, 2001
Published: February 20, 2002

Andrei Tokovinin, "Measurement of seeing and the atmospheric time constant by differential scintillations," Appl. Opt. 41, 957-964 (2002)

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  12. A referee has pointed out that ℐ1(ζ) = 1F2(1/2; 3/2; 2; -π2ζ2), where 1F2 is the generalized hypergeometric function; see, for example, I. S. Gradshteyn, I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, London, 1980), Eq. 9.14.1, p. 1045. We verified that our numerical computation agrees with the series expression for 1F2 in the domain where the series converge.
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