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Optics Letters

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  • Vol. 24, Iss. 15 — Aug. 1, 1999
  • pp: 1008–1010

Measuring the power-law exponent of an atmospheric turbulence phase power spectrum with a Shack Hartmann wave-front sensor

Changhui Rao, Wenhan Jiang, and Ning Ling  »View Author Affiliations


Optics Letters, Vol. 24, Issue 15, pp. 1008-1010 (1999)
http://dx.doi.org/10.1364/OL.24.001008


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Abstract

For non-Kolmogorov turbulence we develop a differential angle-of-arrival fluctuation coefficient, which is the ratio between the transverse and longitudinal differential angle-of-arrival variances, and a slope structure-correlation coefficient, which is the ratio between the transverse and longitudinal differences of the slope correlation function and the slope structure function, to measure the power-law exponent of a phase power spectrum with a Shack–Hartmann wave-front sensor: The differential arrival-of-angle fluctuation coefficient and the slope structure-correlation coefficient are both related to power-law exponent β and are independent of strength parameter ρ0 of the turbulence. We compare the methods developed and use them to evaluate β in recently completed horizontal atmospheric experiments for 1000-m laser beam propagation.

© 1999 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.7060) Atmospheric and oceanic optics : Turbulence
(010.7350) Atmospheric and oceanic optics : Wave-front sensing

Citation
Changhui Rao, Wenhan Jiang, and Ning Ling, "Measuring the power-law exponent of an atmospheric turbulence phase power spectrum with a Shack Hartmann wave-front sensor," Opt. Lett. 24, 1008-1010 (1999)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-24-15-1008


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References

  1. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961).
  2. M. S. Belen'kii, Opt. Lett. 20, 1359 (1995).
  3. M. S. Belen'kii and A. S. Gurvich, Proc. SPIE 2471, 260 (1995).
  4. G. D. Boremann and J. C. Dainty, J. Opt. Soc. Am. A 13, 517 (1996).
  5. T. W. Nicholls, G. D. Boremann, and J. C. Dainty, Opt. Lett. 20, 2460 (1995).
  6. E. E. Silbaugh, B. M. Welsh, and M. C. Roggemann, J. Opt. Soc. Am. A 13, 2453 (1996).
  7. C.-H. Rao, W.-H. Jiang, and N. Ling, “Compensation effectiveness analysis for adaptive optical system used as low-order correction,” Acta Opt. Sin. (to be published).

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