Color holographic zoom system based on a liquid lens

Di Wang; Qionghua Wang; Chuan Shen; Xin Zhou; Chao Liu

doi:10.3788/COL201513.072301

Journals >Chinese Optics Letters >Volume 13 >Issue 7 >Page 072301 > Article

Chinese Optics Letters
Vol. 13, Issue 7, 072301 (2015)

Color holographic zoom system based on a liquid lens

Di Wang¹, Qionghua Wang^1、*, Chuan Shen², Xin Zhou¹, and Chao Liu¹

Author Affiliations

¹School of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China

²Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China

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DOI: 10.3788/COL201513.072301 Cite this Article Set citation alerts

Di Wang, Qionghua Wang, Chuan Shen, Xin Zhou, Chao Liu. Color holographic zoom system based on a liquid lens[J]. Chinese Optics Letters, 2015, 13(7): 072301 Copy Citation Text

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Abstract

In this Letter, we propose a color holographic zoom system based on a liquid lens. We use the spatial multiplexing method to realize color reconstruction. By controlling the focal lengths of the liquid lens and the encoded digital lens on the spatial light modulator panel, we can change the magnification of the reconstructed image very quickly, without mechanical parts and keeping the output plane stationary.

φ (x, y) = - (x^{2} + y^{2}) π / f_{1} λ,

(1)

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φ^{'} = φ_{o} + [- \frac{π}{f_{1} λ} (x^{2} + y^{2})],

(2)

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U_{f} (x, y) = \frac{e^{i k f_{1}}}{i λ f_{1}} \exp [\frac{i π}{f_{1} λ} (x^{2} + y^{2})] \iint_{- \infty}^{\infty} [U (u, v)] \exp [\frac{- 2 i π}{f_{1} λ} (x u + y v)] d u d v,

(3)

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\frac{1}{d_{3}} + \frac{1}{d_{2} - f_{1}} = \frac{1}{f_{2}} .

(4)

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H = \frac{f_{1} λ d_{3}}{p (f_{1} - d_{2})} .

(5)

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M = \frac{f_{1}}{f_{1} - d_{2}} .

(6)

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\cos θ = \frac{γ_{1} - γ_{2}}{γ_{12}} + \frac{ε}{2 γ_{12} d} V^{2},

(7)

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f_{1} = \frac{45 (f_{2} - 10)}{f_{2} - 30},

(8)

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M = \frac{f_{1}}{f_{1} - 15} .

(9)

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M_{r} ∶ M_{g} ∶ M_{b} = \frac{f_{1 r}}{f_{1 r} - 15} ∶ \frac{f_{1 g}}{f_{1 g} - 15} ∶ \frac{f_{1 b}}{f_{1 b} - 15},

(10)

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Di Wang, Qionghua Wang, Chuan Shen, Xin Zhou, Chao Liu. Color holographic zoom system based on a liquid lens[J]. Chinese Optics Letters, 2015, 13(7): 072301

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