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Optics Letters

Optics Letters


  • Vol. 23, Iss. 8 — Apr. 15, 1998
  • pp: 570–572

Lyapunov stability criteria for zonal adaptive-optics systems

Walter J. Wild  »View Author Affiliations

Optics Letters, Vol. 23, Issue 8, pp. 570-572 (1998)

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Lyapunov stability criteria are derived for a first-order closed-loop adaptive-optics servo system, resulting in a linear matrix equation that includes the system geometry, servo parameters, and wave-front reconstruction matrix. It is demonstrated that instability zones depend on the choice of matrix estimator and the servo-loop gain. Divergence of the error propagator gives results that are consistent with the Lyapunov equation. The significance of these results is discussed.

© 1998 Optical Society of America

OCIS Codes
(000.3870) General : Mathematics
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing

Walter J. Wild, "Lyapunov stability criteria for zonal adaptive-optics systems," Opt. Lett. 23, 570-572 (1998)

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