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Investigation of optical testing with a phase-only liquid crystal spatial light modulator

Zhaoliang Cao, Li Xuan, Lifa Hu, Yongjun Liu, Quanquan Mu, and Dayu Li

Open Access Open Access

Abstract

We illustrate that the phase-only liquid crystal spatial light modulator (LC SLM) can be used for optical testing. The large phase change and the phase modulation precision are discussed. The computer generated holograms (CGH) method is used to acquire the significant phase modulation. And the phase modulating characteristics of the LC SLM are measured. It shows the phase modulation depth is more than 2π and the modulation precision is down to 1/14λ (PV) and 1/100λ (rms) (λ=632.8nm). In order to verify this method, the former surface of a convex lens is tested by ZYGO interferometer. The parallel straight fringes are obtained. It is shown that PV is 1/3λ and rms is 1/20λ after compensated by the LC SLM.

©2005 Optical Society of America

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Figures (7)
Fig. 1.
Fig. 1. Measured transmitted intensity and phase retardation at different grey levels. Squares and circles are the experiment data for transmitted intensity and phase retardation.

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Fig. 2.
Fig. 2. Optical layout for measuring the phase modulation precision

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Fig. 3.
Fig. 3. The wavefront phase map: (a) before corrected; (b) after corrected

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Fig. 4.
Fig. 4. Optical layout for testing the convex lens

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Fig. 5.
Fig. 5. The interferogram of the former surface of the convex lens; the red circule is the mask

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Fig. 6.
Fig. 6. The interferograms: (a) without the kinoform; (b) with the kinoform.

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Fig. 7.
Fig. 7. The phase maps: (a) without the kinoform; (b) with the kinoform.

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Equations (12)

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E out = P 0 R ( ψ 2 ) R ( − α ) LCTV ( α , β ) R ( ψ 1 ) E in
R ( θ ) = [ cos ⁡ θ sin ⁡ θ − sin ⁡ θ cos ⁡ θ ]
P 0 = [ 1 0 0 0 ]
LCTV ( α , β ) = [ cos ⁡ γ − i β sin ⁡ γ ⁄ γ α sin ⁡ γ ⁄ γ − α sin ⁡ γ ⁄ γ cos ⁡ γ + i β sin ⁡ γ ⁄ γ ]
n e ( θ ) = n o n e ( n o 2 cos ⁡ 2 θ + n e 2 sin ⁡ 2 θ ) 1 2
β = π d λ [ n e ( θ ) − n o ]
E out = P 0 R ( 0 ) LCTV ( 0 , β ) R ( 0 ) E in
E out = [ i sin ⁡ β − cos ⁡ β 0 ]
T = ∣ E x ∣ 2 = 1
δ = β − arg ( E x ) = 2 β = 2 π d λ ( n e ( θ ) − n o )
φ CGH = φ out − φ in
φ CGH = φ sur − φ ref
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