对基于多重分数傅里叶变换(FrFT)的三维(3D)物场计算全息图进行光电再现实验研究。根据分数阶与衍射距离的关系，对不同物面分别设置不同的分数阶，分别计算得到各层物面在全息面的复振幅并进行叠加，对其进行编码分别得到分数傅里叶变换振幅型全息图和相息图。同时在计算3D物场的全息图时，在物波面加入不同的随机相位因子，得到3D物场的序列全息图，实现对再现影像中散斑噪声的抑制。构建了基于相位型液晶空间光调制器的全息光电再现系统，对单幅全息图和序列全息图的光电再现像的散斑指数、互相关系数进行分析。实验结果表明,通过计算3D物场的分数傅里叶变换序列相息图，可有效地抑制3D物场全息光电再现时的共轭像和散斑噪声，提高再现像的质量。

Optoelectronic reconstruction experiment is carried out for holographic display of three-dimensional (3D) scene based on multiple fractional Fourier transform (FrFT). By setting different fractional orders according to different diffraction distances, multiple fractional Fourier transform in each object plane is calculated and superposed to the whole complex amplitude. The amplitude-type and phase-type holograms are obtained by encoding the whole complex amplitude in hologram plane. In order to suppress the speckle noise, a pseudorandom phase factor is added to object planes in calculating sequential holograms. An experimental system is set up for optoelectronic reconstruction based on phase-type liquid crystal spatial light modulator (LC-SLM). Speckle index and correlation coefficient between the reconstructed images from single hologram and sequential holograms are analyzed. The experimental results show that, by calculating sequential holograms of 3D object and reconstructing with phase-type LC-SLM , the speckle noise and conjugate image can be well suppressed and the quality of reconstructed image is improved significantly.