Abstract

A simplified expression for the bandwidth of an adaptive optics system is found to depend on a weighted path integral of the turbulence strength, where the weighting is transverse wind velocity to the 5/3 power. The wave-front corrector is conservatively assumed to match the phase perfectly, at least spatially, if not temporally. For the case of astronomical imaging from a mountaintop observatory, the necessary bandwidth is found to be less than 200 Hz.

© 1977 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. P. Greenwood and D. L. Fried, “Power spectra requirements for wave-front-compensative systems,” J. Opt. Soc. Am. 66, 193–206 (1976).
    [Crossref]
  2. V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation (U. S. Department of Commerce, Washington, D. C., NTIS T68-50464, 1971), p. 268.
  3. D. L. Fried and G. E. Mevers, “Evaluation of r0 for Propagation Down Through The Atmosphere,” Appl. Opt. 13, 2620–2622 (1974). [Errata: Appl. Opt. 14, 2567 (1975)].
    [Crossref] [PubMed]
  4. M. Miller, P. Zieske, and D. Hanson, “Characterization of Atmospheric Turbulence,” Proceedings of the SPIE/SPSE Technical Symposium East on Imaging Through The Atmosphere, Vol. 75, paper 75–05.
  5. D. P. Greenwood and D. L. Fried, “Power Spectra Requirements for Wavefront-Compensative Systems,” , Rome Air Development Center, Griffiss AFB, New York, Sept.1975.

1976 (1)

1974 (1)

Fried, D. L.

Greenwood, D. P.

D. P. Greenwood and D. L. Fried, “Power spectra requirements for wave-front-compensative systems,” J. Opt. Soc. Am. 66, 193–206 (1976).
[Crossref]

D. P. Greenwood and D. L. Fried, “Power Spectra Requirements for Wavefront-Compensative Systems,” , Rome Air Development Center, Griffiss AFB, New York, Sept.1975.

Hanson, D.

M. Miller, P. Zieske, and D. Hanson, “Characterization of Atmospheric Turbulence,” Proceedings of the SPIE/SPSE Technical Symposium East on Imaging Through The Atmosphere, Vol. 75, paper 75–05.

Mevers, G. E.

Miller, M.

M. Miller, P. Zieske, and D. Hanson, “Characterization of Atmospheric Turbulence,” Proceedings of the SPIE/SPSE Technical Symposium East on Imaging Through The Atmosphere, Vol. 75, paper 75–05.

Tatarskii, V. I.

V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation (U. S. Department of Commerce, Washington, D. C., NTIS T68-50464, 1971), p. 268.

Zieske, P.

M. Miller, P. Zieske, and D. Hanson, “Characterization of Atmospheric Turbulence,” Proceedings of the SPIE/SPSE Technical Symposium East on Imaging Through The Atmosphere, Vol. 75, paper 75–05.

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

Other (3)

V. I. Tatarskii, The Effects of the Turbulent Atmosphere on Wave Propagation (U. S. Department of Commerce, Washington, D. C., NTIS T68-50464, 1971), p. 268.

M. Miller, P. Zieske, and D. Hanson, “Characterization of Atmospheric Turbulence,” Proceedings of the SPIE/SPSE Technical Symposium East on Imaging Through The Atmosphere, Vol. 75, paper 75–05.

D. P. Greenwood and D. L. Fried, “Power Spectra Requirements for Wavefront-Compensative Systems,” , Rome Air Development Center, Griffiss AFB, New York, Sept.1975.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (1)

FIG. 1
FIG. 1

Representative plots of the power spectra of segments within a phase corrector, for pistons located at the center (I) and at the edge (II and III). Curve II is for a gross piston reference and curve III for a gross tilt reference. The type of reference does not affect curve I. The high-frequency roll - off is determined by the size of the corrector, with IV representing a finite corrector segment 1 10 the diameter of the aperture, and V representing a segment of size zero. The entire dashed line is the simple power spectrum given by Eq. (1).

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

lim f F ϕ ( f ) = 0.326 k 2 f - 8 / 3 0 L C n 2 ( z ) v 5 / 3 ( z ) d z ,
σ r 2 = 0 1 - H ( f , f c ) 2 F ϕ ( f ) d f .
H ( f , f c ) = { 1 f f c 0 f > f c
H ( f , f c ) = ( 1 + i f / f c ) - 1 .
σ ϕ 2 = 0.141 ( D / r 0 ) 5 / 3 ,
r 0 - 5 / 3 = 0.423 k 2 0 L C n 2 ( z ) Q ( z ) d z ,
f c = [ 0.0196 ( k / σ r ) 2 0 L C n 2 ( z ) v 5 / 3 ( z ) d z ] 3 / 5 .
f c = { 7.34 × 10 - 3 ( k σ r ) 2 C n 2 v a 8 / 3 ω [ ( 1 + ω L v a ) 8 / 3 - 1 ] } 3 / 5
C N 2 ( z ) = [ 2.2 × 10 - 13 ( z sin θ + 10 ) - 1.3 + 4.3 × 10 - 17 ] × exp [ - ( z sin θ ) / 4000 ] ,
v ( z ) = 8 + 30 exp { - [ ( z sin θ - 9400 ) 4800 ] 2 } ,