Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China.
University of Chinese Academy of Science, Beijing 100049, China.
Sensors (Basel). 2018 Nov 16;18(11):4007. doi: 10.3390/s18114007.
In this paper, we propose a new method to improve the position measurement accuracy for Laguerre-Gaussian beams on a quadrant detector (QD). First, the error effects of the detector diameter and the gap size are taken into account, and the position error compensation factor is introduced into the conventional formula. Then, in order to reduce the number of parameters, the concept of effective radius is proposed. Thus, a new analytical expression is obtained with a best fit using the least square method. It is verified by simulation that this approach can reduce the maximum error by 97.4% when the beam radius is 0.95 mm; meanwhile, the root mean square errors under different radii are all less than 0.004 mm. The results of simulation show that the new method could effectively improve the accuracy of the QD measurement for different radii. Therefore, the new method would have a good prospect in the engineering practice of beam position measurements.
在本文中，我们提出了一种新的方法来提高四象限探测器（QD）上的拉盖尔-高斯光束的位置测量精度。首先，考虑到探测器直径和间隙大小的误差影响，将位置误差补偿因子引入到传统公式中。然后，为了减少参数数量，提出了有效半径的概念。因此，使用最小二乘法进行最佳拟合，得到了新的解析表达式。通过仿真验证，当光束半径为 0.95mm 时，该方法可以将最大误差降低 97.4%；同时，不同半径下的均方根误差均小于 0.004mm。仿真结果表明，该新方法可以有效提高不同半径下 QD 测量的精度。因此，该新方法在光束位置测量的工程实践中具有良好的前景。
