中文摘要：

基于强度传输方程（TIE）的相位检索技术通过光学与计算的结合,利用强度信息恢复相位,避免了由于干涉法造成的分辨率、敏感性等问题,理论和实验证明是获取相位信息的一种可行途径。这一方法是基于相干照明假设前提推导出的,将TIE直接扩展到部分相干场是困难的,因为部分相干光场对于时间是随机波动的,需要使用点对之间的相关函数完整描述。结合部分相干光场的光学特性以及实际成像中的透镜相位调制作用,本文提出了一种基于透镜模型的部分相干照明下的相位检索新方法,并给出了一致照明和非一致照明下的相位检索结果。实验验证了新方法的合理性和正确性。新方法的提出,扩展了传统的基于TIE的相位检索方法的应用范围。

英文摘要：

The transport of intensity equation （TIE） is solved to recover the phase information through the combination of optics and calculation with the method of phase retrieval based on the intensity meas- urement. It is proved to be a feasible way to obtain phase information theoretically and experimentally. The sensitivity and resolution problems because of the interferometry techniques are avoided. However, the method is derived under the assumption of coherent illumination. It is difficult to expand it to the partially coherent optical field. A partially coherent optical field at any point in the space experiences sta- tistical fluctuations over time. To fully characterize this field,correlations between pairs of points need to be used. Combining the phase modulation of lens and characteristics of partially coherent field, a new phase retrieval method under partially coherent illumination based on the lens imaging model is deduced. Finally,the phase retrieval results are given under uniform and non-uniform illumination. Experimental results verify that this new phase retrieval method is reasonable and correct. The application of tradition- al phase retrieval algorithm on transport of intensity equation is extended.