自然光条件下基于 Green 函数的相位检索方法

摘要

基于强度测量的确定性相位检索技术将光学与计算结合起来，通过求解强度传输方程恢复相位信息，理论和实验证明是相位检索的可行途径。论文将Green函数应用于强度传输方程的求解中，给出Neumann和Dirichlet边界条件下新的推导方法。该方法中，Green函数的偏导数是四维矩阵，随着图像分辨率的提高，直接求解所占的内存空间比较大，提出了数值化处理方法，并推广到自然光条件下的相位检索中。同时，搭建了图像数据采集光学平台。模拟和真实实验验证了算法的正确性和实用性。%The transport of intensity equation is solved to recover the phase information through the combination of optics and calculation in the method of phase retrieval based on the intensity measurement .This method is proved to be a feasible way to obtain phase information theoretically and experimentally .A new derivation of Green function method in Neumann and Dirichlet boundary conditions is deduced .Because the partial derivative of Green′s function is a four-dimensional matrix ,large memory space will be occupied with the improvement of image resolution by solving the function directly .The numerical processing method is pre-sented and extended to natural light conditions .At same time ,an optical data collection platform is built .Simulation and actual ex-perimental results verify this new phase retrieval method is reasonable and correct .