## Abstract

We propose a method to implement a speckle-reduced coherent three-dimensional (3D) display system by a combination of integral imaging and photorefractive volume holographic storage. The 3D real object is imaged through the microlens array and stored in the photorefractive crystal. During the reconstruction process a phase conjugate reading beam is used to minimize aberration, and a rotating diffuser located on the imaging plane of the lens array is employed to reduce the speckle noise. The speckle-reduced 3D image with a wide viewing angle can be reconstructed by use of the proposed system. Experimental results are presented and optical parameters of the proposed system are discussed in detail.

© 2002 Optical Society of America

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### Equations (9)

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(1)
$${W}_{S}\cong \frac{{f}_{c}}{{Z}_{\mathit{MC}}}{W}_{L\prime}$$
(2)
$${W}_{L}={W}_{M}N,$$
(3)
$${Z}_{F}={f}_{F}\cong {Z}_{\mathit{MC}}.$$
(4)
$$\frac{{W}_{L}}{{f}_{F}}=\frac{{W}_{S}}{{Z}_{C}}\cong \frac{{W}_{S}}{{f}_{c}}.$$
(5)
$${\mathrm{\beta}}_{\mathrm{ele}}={\mathrm{\alpha}}_{i}\frac{{z}_{i}}{|L-{z}_{i}|}.$$
(6)
$${\mathrm{\beta}}_{\mathrm{nyq}}=\frac{L}{2{P}_{e}},$$
(7)
$${\mathrm{\beta}}_{\mathrm{dif}}=\frac{{w}_{l}}{\mathrm{\lambda}}\frac{{z}_{i}}{|L-{z}_{i}|},$$
(8)
$${\mathrm{\beta}}_{max}=min\left({\mathrm{\beta}}_{\mathrm{ele}},{\mathrm{\beta}}_{\mathrm{nyq}},{\mathrm{\beta}}_{\mathrm{dif}}\right).$$
(9)
$$\mathrm{\theta}=2\mathrm{arctan}\left(\frac{{P}_{e}}{2\mathrm{g}}\right).$$