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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 6 — Jun. 1, 1998
  • pp: 1698–1707

Atmospheric characterization in the presence of strong additive measurement noise

Roque Kwok-Hung Szeto and Robert Russell Butts  »View Author Affiliations

JOSA A, Vol. 15, Issue 6, pp. 1698-1707 (1998)

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The phase structure function and the phase-slope structure function have been used to characterize atmospheric-turbulence parameters—parameters that are important in the performance evaluation and ultimately in the design of adaptive optics systems for astronomical imaging applications and for laser beam propagations. We have extended the method to account for the effects of strong beam-path-induced aberrations and additive measurement noise. A stable noise-suppressant algorithm is devised in which the estimation is done sequentially: first the atmospheric-turbulence parameters are estimated independently, and then the noise-variance parameter is estimated. The developed theory is applied to the Shack–Hartmann wave-front-sensor data collected in the recently completed Airborne Laser Extended Atmospheric Characterization Experiment for very-long-horizontal-path (between 60 and 100 km) laser beam propagations. The estimated r0 values are in general agreement with the values obtained from the high-bandwidth scintillometer analysis on data taken in the same experiment. In addition, if the atmospheric turbulence spectrum can be described by a simple power law, then the data reduction with use of the developed estimation equations, which allow arbitrary atmospheric-turbulence power-law values, indicates that deviation from Kolmogorov turbulence is negligible.

© 1998 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7060) Atmospheric and oceanic optics : Turbulence

Original Manuscript: April 30, 1997
Revised Manuscript: January 27, 1998
Manuscript Accepted: February 5, 1998
Published: June 1, 1998

Roque Kwok-Hung Szeto and Robert Russell Butts, "Atmospheric characterization in the presence of strong additive measurement noise," J. Opt. Soc. Am. A 15, 1698-1707 (1998)

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  1. T. F. Elbert. Estimation and Control of Systems (Van Nostrand Reinhold, New York, 1984).
  2. R. K. Szeto, G. A. Tyler, “ABLE-ACE wavefront sensor: optical wavefront reconstruction in terms of zernike modes,” (The Optical Sciences Company, Anaheim, Calif., 1994).
  3. R. K. Szeto, M. S. Lodin, “Effects of correlated noise on ABLE-ACE wavefront sensor analysis,” (The Optical Sciences Company, Anaheim, Calif., 1995).
  4. D. C. Washburn, D. W. Benton, W. P. Brown, R. R. Butts, K. W. Koenig, B. S. Masson, P. H. Merritt, B. P. Venet, S. O. O’Keefe, D. H. Peterson, L. O. Weaver, S. C. Coy, R. W. Praus, T. T. Brennan, R. H. Dueck, G. A. Tyler, “Airborne laser extended atmospheric characterization experiment, final report,” May1996.
  5. R. R. Butts, “ABLE ACE wavefront sensor,” Proc. SPIE3065, (to be published).
  6. E. E. Silbaugh, B. M. Welsh, M. C. Roggemann, “Characterization of atmospheric turbulence phase statistics using wave-front slope measurements,” J. Opt. Soc. Am. A 13, 2453–2460 (1996). [CrossRef]
  7. A. S. Gurvich, B. M. Koprov, L. R. Tsvang, A. M. Yaglom, “Data on the small scale structure of atmospheric turbulence,” in Atmospheric Turbulence and Radio Wave Propagation, A. M. Yaglom, V. I. Tatarskii, eds. (Nauka, Moscow, 1967), pp. 30–52.
  8. D. Dayton, B. Pierson, B. Spielbusch, J. Gonglewski, “Atmospheric structure function measurements with a Shack–Hartmann wave-front sensor,” Opt. Lett. 17, 1737–1739 (1992). [CrossRef] [PubMed]
  9. T. W. Nicholls, G. D. Boreman, J. C. Dainty, “Use of a Shack–Hartmann wave-front sensor to measure deviations from a Kolmogorov phase spectrum,” Opt. Lett. 20, 2460–2462 (1995). [CrossRef]
  10. A. N. Kolomogorov, “The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers,” Dokl. Akad. Nauk. Sssr. 30, 299–303 (1941).
  11. D. L. Fried, “Optical heterodyne detection of an atmospherically distorted signal wave front,” Proc. IEEE 55, 57–67 (1967). [CrossRef]
  12. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961).

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