The method of the approximate inverse for atmospheric tomography
The method of the approximate inverse for atmospheric tomography
复制标题
大气层析成像的近似逆方法
DOI：
10.1088/0266-5611/31/6/065002
复制
发表时间：
2015
期刊：
影响因子：
2.1
通讯作者：
R. Ramlau
中科院分区：
文献类型：
--
作者：
D. Gerth;B. Hahn;R. Ramlau
本文提出了一种基于近似逆方法的大气层析成像新方法。地球大气湍流严重影响了地球望远镜的成像质量。为了获得清晰的图像，入射光使用可变形反射镜对这些畸变进行校正。在大气层析成像中，湍流剖面被重建，从而使反射镜的形状能够以最佳的方式进行调整。我们采用近似逆法，一种需要求解伴随问题的非迭代正则化方法，对多共轭自适应光学进行这一重建步骤。我们证明了近似逆导致了有效的算法，并给出了数值例子。用迭代的kaczmarz型算法求解可预先计算的伴随问题。在新算法的第一个研究中，不包括尖端/倾斜效应和斑点延伸。
In this paper, we propose a new approach for the atmospheric tomography based on the method of the approximate inverse. The image quality of Earth-bound telescopes is severely degraded by turbulences of the atmosphere of the Earth. In order to receive sharp images, the incoming light is corrected for these distortions using deformable mirrors. In atmospheric tomography, the turbulence profile is reconstructed so that the shape of the mirrors can be adjusted in an optimal way. We perform this reconstruction step by applying the method of the approximate inverse, a non-iterative regularization method which requires the solution of an adjoint problem, to Multi-Conjugate Adaptive Optics. We show that the approximate inverse leads to efficient algorithms and give numerical examples. The adjoint problem, which can be precomputed, is solved with an iterative Kaczmarz-type algorithm. In this first study of the new algorithm, tip/tilt effects and spot elongation are not included.