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Adaptive optics using a liquid crystal phase modulator in conjunction with a Shack-Hartmann wave-front sensor and zonal control algorithm

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Abstract

Multi-segment liquid crystal spatial light modulators have received much attention recently for use as high-precision wavefront control devices for use in astronomical and non-astronomical applications. They act much like piston only segmented deformable mirrors. In this paper we investigate the use of these devices in conjunction with a Shack-Hartmann wave-front sensor. Previous investigators have considered Zernike modal control algorithms. In this paper we consider a zonal algorithm in order to take advantage of high speed matrix multiply hardware which we have in hand.

©1997 Optical Society of America

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Supplementary Material (1)

Media 1: MOV (248 KB)     

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Figures (8)

Fig. 1
Fig. 1 Simulated one dimensional cross sections of Shack-Hartmann spot
Fig. 2
Fig. 2 Shack-Hartmann centroid error as a function of segment displacement
Fig. 3
Fig. 3 Arrangement of SLM Elements With Respect to Shack-Hartmann Sub-Apertures
Fig. 4
Fig. 4 Effect of SLM segment displacement on Shack-Hartmann Spots
Fig. 5
Fig. 5 Block Diagram Zonal Control of Spatial Light Modulator
Fig. 6
Fig. 6 Experimental Layout for Closed Loop Tests
Fig. 7
Fig. 7 Open and Closed Loop results with a Static Aberration
Fig. 8
Fig. 8 Dynamic Closed Loop Control [Media 1]

Equations (8)

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

ϕ x = 3 2 ( a b )
ϕ y = c a + b 2
Φ = ΓX
Φ = [ ϕ x 11 ϕ x 12 · · ϕ y 11 ϕ y 12 · · ]
X = [ x 11 x 12 · · x 21 x 22 · · ]
Γ = [ 3 2 3 2 0 0 0 · 0 3 2 3 2 0 0 · · · · · · · 1 2 1 2 · 1 0 · 0 1 2 1 2 · 1 · ]
H = Γ T ( Γ T Γ ) 1
C k = C k 1 gH ( Φ Φ 0 )
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