多三维物体菲涅耳变换数字实现方法  

Digital Realization Method for Fresnel Transform of Multiple Three-Dimensional Objects

作　　者：陈家祯[1] 郑子华[1] 连桂仁[1] 

机构地区：[1]福建师范大学数学与计算机学院,福建福州350007

出　　处：《激光与光电子学进展》2014年第4期75-81,共7页Laser & Optoelectronics Progress

基　　金：福建省教育厅B类项目(JB11020)

摘　　要：提出一种在同一张全息图上记录多个三维物体菲涅耳衍射分布的数字化编解码方法。首先利用一次快速傅里叶变换算法计算三维物体全息面上的物光波复振幅分布;然后对物光波数据预处理以克服频谱面上各三维物体数字频谱的混叠问题;最后控制不同的载频系数制作计算全息干涉图。数字再现通过在全息图数字频谱面的特定位置提取有效频谱分量,再计算离散菲涅耳逆变换的方法实现各原始三维物体的数字重建。仿真实验结果表明所提出的方法实现了不同制作参数的多个三维物体的同时记录,并且具有良好的数字再现质量,全息图制作参数如波长、再现距离、载频系数还可作为密钥,实现多个三维物体的加密存储。A digital coding and decoding method on recoding Fresnel diffraction distribution of multiple threedimensional （3D） objects in the same hologram is discussed. Firstly, fast Fourier transform algorithm is used to calculate the complex amplitude distribution of the three- dimensional objects in the holographic plane, and then the object wave data are preprocessed to avoid digital spectrum aliasing, and finally different carrier frequency coefficients are controlled to produce interference hologram. The method of digital reconstruction is based on extracting effective spectral components in the digital spectrum hologram and then calculating discrete Fresnel inverse transform to rebuild the original three- dimensional objects. The simulation results show that the proposed method can record multiple three- dimensional objects with different production parameters at the same time and has good reproduction quality. The hologram production parameters such as wavelength, reproduction distance, carrier frequency coefficients can also serve as a key to realize encryption storage for multiple three-dimensional objects.

关 键 词：全息 信息光学 菲涅耳计算全息 傅里叶变换 频谱分离 数字再现 

分 类 号：O438.1[机械工程—光学工程]