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Angular Dependence of Atmospheric Turbulence Effect in Speckle Interferometry

Published online by Cambridge University Press:  02 August 2016

David L. Fried
David L. Fried*
Affiliation:
the Optical Sciences Company, P. O. Box 446, Placentia, CA 92670, USA

Abstract

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The concepts of speckle interferometry as developed by Labeyrie, and of speckle imagery as formulated by Knox and Thompson are analyzed for dependence on field-of-view size. The preliminary analysis, assuming isoplanatism rederives the results of Korff, and derives the result previously inferred by Knox and Thompson from computer simulation, that allowable spatial frequency separation for difference of phase shift determination must be less than r0/λ When the assumption of isoplanatism is dropped, results are obtained for the expected object power spectrum in speckle interferometry and for the expected bispectrum in speckle imagery, showing the dependence on angular spread for an object consisting of a pair of point sources. An angle, ϑ, is defined (in terms of an integral over the strength of turbulence distribution along the propagation path), which bounds the range within which there are no significant anisoplanatism effects. It is noted that the effect of anisoplanatism is not to attenuate the information bearing signal but rather to impose incorrect information on the signal. Thus anisoplanatism can result in incorrect conclusions with no indication that there is a problem.

Type
The Scientific Programme
Information
International Astronomical Union Colloquium , Volume 50: High Angular Resolution Stellar Interferometry , January 1979 , pp. 26-1 - 26-25
Copyright
Copyright © 1979

References

1. Knox, K. T. and Thompson, B. J., “Recovery of Images from Atmospherically Degraded Short-Exposure Photographs”, Ap. J. 193, L45 (1974).CrossRefGoogle Scholar
2. Labeyrie, A., “High Resolution Techniques in Optical Astronomy”, in Progress in Optics Vol. XV, Wolf, E., ed. , (North Holland, Amsterdam 1976).Google Scholar
3. Stachrik, R. V., Nisenson, P., et al , “Solar Speckle Image Reconstruction, Nature (1977).CrossRefGoogle Scholar
4. Miller, M. G. and Zieske, P. L., Turbulence Environment Characterization, (Interim Technical Report for 15 October 1975 to 15 September 1976, by Avco Evertee Corp., on Contract F30602-76-C-0054).Google Scholar
5. Greenwood, D. P., private communications.Google Scholar
6. Fried, D. L., Theoretical Study of Non-Standard Imaging Concepts, RADC Technical Report, RADC-TR-74-185, May 1974.Google Scholar
7. Fried, D. L., Theoretical Study of Non-Standard Imaging Concepts, RADC Technical Report, RADC-TR-74-276, October 1974.Google Scholar
8. Fried, D. L., “Varieties of Isoplanatism”, Proc. of SPIE 75, 20 (1976).CrossRefGoogle Scholar
9. Fried, D. L., “Statistics of a Geometric Representation of Wavefront Distortion”, J. Opt. Soc. Am. 55, 1427 (1965).CrossRefGoogle Scholar
10. Korff, D., “Analysis of a Method for Obtaining Near-Diffraction-Limited Information in the Presence of Atmospheric Turbulence”, J. Opt. Soc. Am. 63, 971 (1973).Google Scholar
11. Fried, D. L., “Spectral and Angular Covariance of Scintillation for Propagation in a Randomly Inhomogeneous Medium”, Appl. Opt. 10, 721 (1971).CrossRefGoogle Scholar