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Phase-only liquid-crystal spatial light modulator for wave-front correction with high precision

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Abstract

We introduce a novel parallel-aligned liquid-crystal (LC) spatial light modulator (SLM) that has been designed to operate in a phase-only mode for wave-front correction. We measured and analyzed theoretically the electro-optic characteristics of the LC SLM and obtained a peak-to-valley value of 0.07049λ (λ=0.6328 µm) after correction. A Strehl ratio of 0.989 indicates the approximate upper limit of an aberrated wave front that the LC SLM can correct when it is used in an adaptive optical system.

©2004 Optical Society of America

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Figures (6)

Fig. 1.
Fig. 1. Optical setup used to investigate the modulation properties of the LC SLM: 1, He-Ne laser; 2, 3, lenses; 4, beam splitter; 5, partially reflective mirror; 6, LC SLM; 7, partially reflective mirror; 8, CCD; 9, 10, personal computers.
Fig. 2.
Fig. 2. Phase as a function of applied gray levels of a parallel-aligned LC SLM.
Fig. 3.
Fig. 3. Transmittance as a function of response times for a parallel-aligned LC cell.
Fig. 4.
Fig. 4. Two-dimensional plot of the wave front (a) before correction and (b) after correction.
Fig. 5.
Fig. 5. Comparison of the interferometer wave-front patterns: (a) uncorrected and (b) corrected for an area of 1 cm2.
Fig. 6.
Fig. 6. Comparison of the wave-front PSFs (a) uncorrected and (b) corrected in the area of 1 cm2.

Tables (1)

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Table 1. Experimental and Theoretical Response Time of a Parallel-Aaligned LC Ccell

Equations (6)

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J = exp ( j ϕ ) [ ( α γ ) sin ( γ ) cos ( γ ) + j ( β γ ) sin ( γ ) cos ( γ ) + j ( β γ ) sin ( γ ) ( α γ ) sin ( γ ) ] ,
T = ζ [ cos α cos γ + ( α γ ) sin α sin γ ] 2 + [ β γ sin γ cos ( α + 2 ψ 1 ) ] 2 ,
δ = β arg E x ,
T parallel = 1 , δ = 2 π d λ ( n e ( V ) n o ) .
τ on = η d 2 [ π 2 K 11 ( V 2 V c 2 1 ) ] ,
τ off = η d 2 ( π 2 K 11 ) ,
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