Xu Jiancheng, Li Yong, Wang Hui, Chai Liqun, Xu Qiao
Institute of Information Optics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, China.
Opt Express. 2010 Nov 8;18(23):24368-78. doi: 10.1364/OE.18.024368.
We propose a non-iterative approach to extract the unknown phase shift in phase shifting interferometry without the assumption of equal distribution of measured phase in [0,2π]. According to the histogram of the phase difference between two adjacent frames, the phase shift can be accurately extracted by finding the bin of histogram with the highest frequency. The main factors that influence the accuracy of the proposed method are analyzed and discussed, such as the random noise, the quantization bit of CCD, the number of fringe patterns used and the bin width of histogram. Numerical simulations and optical experiments are also implemented to verify the effectiveness of this method.
我们提出了一种非迭代方法，用于在不假设测量相位在[0,2π]内均匀分布的情况下，提取相移干涉术中的未知相移。根据相邻两帧之间相位差的直方图，通过找到频率最高的直方图区间，可以准确提取相移。分析并讨论了影响该方法精度的主要因素，如随机噪声、电荷耦合器件（CCD）的量化比特、所用条纹图案的数量以及直方图的区间宽度。还进行了数值模拟和光学实验，以验证该方法的有效性。
