Modeling and open-loop control of point-actuated continuous facesheet deformable mirrors

Curtis R. Vogel; Qiang Yang

doi:10.1117/12.669867

28 June 2006 Modeling and open-loop control of point-actuated, continuous facesheet deformable mirrors

Curtis R. Vogel, Qiang Yang

Proceedings Volume 6272, Advances in Adaptive Optics II; 627223 (2006) https://doi.org/10.1117/12.669867
Event: SPIE Astronomical Telescopes + Instrumentation, 2006, Orlando, Florida , United States

Abstract

In this paper we present a mathematical model for a point-actuated, continuous facesheet deformable mirror. The model consists of a single partial differential equation for the facesheet coupled with a number of nonlinear algebraic constraints (one constraint per actuator). We also present a nonlinearly constrained quadratic minimization problem whose solution gives the quasi-steady state control for the mirror, given a target wavefront aberration.

Citation Download Citation

Curtis R. Vogel and Qiang Yang "Modeling and open-loop control of point-actuated, continuous facesheet deformable mirrors", Proc. SPIE 6272, Advances in Adaptive Optics II, 627223 (28 June 2006); https://doi.org/10.1117/12.669867

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