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Applied Optics

Applied Optics


  • Vol. 40, Iss. 21 — Jul. 20, 2001
  • pp: 3441–3449

Adaptive-optics compensation by distributed beacons for non-Kolmogorov turbulence

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

Applied Optics, Vol. 40, Issue 21, pp. 3441-3449 (2001)

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In optical propagation through atmospheric turbulence, the performance of compensation with adaptive optics depends on a beacon’s spatial distribution. With distributed beacons, the inefficiency of the modal correction, which is defined as the ratio of the anisoplanatic error of the jth mode and the Zernike-coefficient variance, is derived by use of the wave-front expansion on the Zernike polynomials for non-Kolmogorov turbulence. Numerical results are presented for laser beam propagation through constant turbulence with an offset point beacon and an on-axis uniform circular beacon. The results show that compensation for an on-axis uniform circular beacon is much more effective than that for an offset point beacon. The low-order modes are much more correlated than the higher-order modes. The larger the power-law exponent of the refractive-index power spectrum β, the smaller the propagation path length L and the larger the diameter D of the telescope aperture, the more effective the compensation is. For a specific extended degree of beacon for which there are a maximum number of modes Nmax to be corrected, only low-order-correction systems are useful.

© 2001 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

Original Manuscript: May 9, 2000
Revised Manuscript: January 2, 2001
Published: July 20, 2001

Changhui Rao, Wenhan Jiang, and Ning Ling, "Adaptive-optics compensation by distributed beacons for non-Kolmogorov turbulence," Appl. Opt. 40, 3441-3449 (2001)

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