通过理论分析和模拟验证, 研究了基于横向剪切的数字全息相位重建方法, 分析并指明了详细的重建过程, 提出了利用平坦区域相位数据进行线性拟合, 从而获得线性相位畸变系数的方法, 并指出对原始包裹相位图进行1维相位展开是横向剪切法重建数字全息相位信息的前提。对无噪声及含有噪声的全息图进行了数值重建, 结果表明: 对于弱噪声干扰的全息图, 该方法很有效; 而对于较强噪声干扰的全息图, 采用中值滤波方法对原始相位图进行滤波后再重建, 并对重建的相位图再次进行中值滤波, 可以得到高质量的再现像; 减小再现像平面抽样间隔, 使剪切相位图中相邻的两个像元之间相位差的最大值小于2π,才可以获得正确的相位重建。

The reconstruction method of digital holographic phase information based on lateral shearing interferometer was studied. The reconstruction process was analyzed in detail. A new a method, with which the coefficients of the linear phase aberration can be obtained, was proposed. It is pointed out that one-dimensional phase unwrapping for original phase map is the precondition of the lateral shearing method. The numerical reconstruction for digital hologram with and without noise was conducted. The results show that for a weak noisy hologram the proposed process is very effective, but for a strong noisy hologram median filter should be applied to the original phase map and that the median filter is again applied to the reconstructed phase map to obtain a high quality image. Only if the maximum of the phase difference between the two proximate pixels is smaller than 2π, which can be achieved by decreasing the sample interval of the reconstructed image plane, the phase image can be obtained correctly．