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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 11, Iss. 11 — Nov. 1, 1994
  • pp: 2871–2886

Optimizing closed-loop adaptive-optics performance with use of multiple control bandwidths

Brent L. Ellerbroek, Charles Van Loan, Nikos P. Pitsianis, and Robert J. Plemmons  »View Author Affiliations

JOSA A, Vol. 11, Issue 11, pp. 2871-2886 (1994)

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The performance of a closed-loop adaptive-optics system may in principle be improved by selection of distinct and independently optimized control bandwidths for separate components, or modes, of the wave-front-distortion profile. We describe a method for synthesizing and optimizing a multiple-bandwidth adaptive-optics control system from performance estimates previously derived for single-bandwidth control systems operating over a range of bandwidths. The approach is applicable to adaptive-optics systems that use either one or several wave-front sensing beacons and also to systems that include multiple deformable mirrors for atmospheric-turbulence compensation across an extended field of view. Numerical results are presented for the case of an atmospheric-turbulence profile consisting of a single translating phase screen with Kolmogorov statistics, a Shack–Hartmann wave-front sensor with from 8 to 16 subapertures across the aperture of the telescope, and a continuous-face-sheet deformable mirror with actuators conjugate to the corners of the wave-front-sensor subapertures. The use of multiple control bandwidths significantly relaxes the wave-front-sensor noise level that is permitted for the adaptive-optics system to operate near the performance limit imposed by fitting error. Nearly all of this reduction is already achieved through the use of a control system that uses only two distinct bandwidths, one of which is the zero bandwidth.

© 1994 Optical Society of America

Original Manuscript: February 17, 1994
Revised Manuscript: June 24, 1994
Manuscript Accepted: June 24, 1994
Published: November 1, 1994

Brent L. Ellerbroek, Charles Van Loan, Robert J. Plemmons, and Nikos P. Pitsianis, "Optimizing closed-loop adaptive-optics performance with use of multiple control bandwidths," J. Opt. Soc. Am. A 11, 2871-2886 (1994)

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