An exact formulation of a filter for rotations in phase gradients and its applications to wavefront reconstruction problems
An exact formulation of a filter for rotations in phase gradients and its applications to wavefront reconstruction problems
复制标题
相位梯度旋转滤波器的精确公式及其在波前重建问题中的应用
DOI：
10.1080/09500340308235516
复制
发表时间：
2003
影响因子：
1.3
通讯作者：
S. Komatsu
中科院分区：
文献类型：
--
作者：
M. Hattori;S. Komatsu
摘要 给出了一种精确构造旋转梯度向量滤波器的非奇异且显式的方法。这种滤波器预计可用于哈特曼传感器自适应光学中的相位重建和相关问题。在该方法的推导过程中，为了使数学实现准确、一致，对坐标的排列十分注意。该推论最显着的结果是，在从原始坐标移动半个周期的坐标上消除旋转后，积分路径应再次从旋转中心移动半个周期以获得一致的波前重建。实验结果显示了与传统最小方法的差异。该公式对于旋转分量的精确分解非常有效，这对于相位重建和相关问题很有用。
Abstract A non-singular and explicit method of constructing a filter exactly for the rotational gradient vector is shown. Such a filter is expected to be useful in phase reconstruction and related problems in adaptive optics with Hartmann sensors. In the deduction of this method, great care is taken in the arrangement of coordinates in order to make the mathematical implementation exact and consistent. The most notable consequence of the deduction is that, after the rotation is eliminated on coordinates shifted a half-period from the original, integral paths should once more be shifted a half-period from the centre of rotations to obtain a consistent wavefront reconstruction. Differences from conventional least methods are shown with experimental results. This formula would be effective for accurate decomposition of the rotation component, which is useful for phase reconstruction and related problems.