New website getting online, testing
    • 摘要: 从斜率复原波前是夏克-哈特曼波前传感器这一类斜率采样探测器的核心流程。传统的复原算法中,区域法对局部波前的复原效果好,但易受斜率噪声的影响,同时空间分辨率较低;模式法抗噪能力强,但没有精确复原局部波前的能力。本文提出了基于B样条函数的快速复原算法,将波前展开为B样条曲面的线性组合,并将复原问题从斜率最小二乘问题转化为泊松方程,利用斜率的Taylor展开式估计散度,再通过超松驰迭代法进行快速求解。该方法将B样条函数的理论散度积分和实际散度估计分离,可以方便地扩展到不同阶次和不同节点数量的B样条基复原算法中。另外,通过改变散度估计的计算区域,可以灵活控制并平衡算法的局部复原能力和抗噪能力。对变形镜驱动器响应函数的测量实验表明,该方法具有较好的局部复原能力、抗噪能力和任意精度的空间分辨率。

       

      Abstract: Traditional schemes for Shack-Hartmann wavefront reconstruction can be classified into zonal and modal methods. The zonal methods are good at reconstructing the local details of the wavefront, but are sensitive to the noise in the slope data. The modal methods are much more robust to the noise, but they have limited capability of recovering the local details of the wavefront. In this paper, a B-spline based fast wavefront reconstruction algorithm in which the wavefront is expanded to the linear combination of bi-variable B-spline curved surfaces is proposed. Then, a method based on successive over relaxation (SOR) algorithm is proposed to fast reconstruct the wavefront. Experimental results show that the proposed algorithm can recover the local details of the wavefront as good as the zonal methods, while is much more robust to the slope noise.