论文标题
大气断层扫描操作员的框架分解
A Frame Decomposition of the Atmospheric Tomography Operator
论文作者
论文摘要
我们考虑了大气断层扫描的问题，例如在适用于极大望远镜的自适应光学系统中。我们得出了框架分解，即基础大气层层析成像操作员的框架分解，从而扩展了Neubauer和Ramlau（2017）的奇异值分解结果，并允许自然和激光导向星的混合物以及任意的射孔塑形。基于两个分析考虑和数值插图，我们提供了有关衍生框架分解及其构件的特性的洞察力。
We consider the problem of atmospheric tomography, as it appears for example in adaptive optics systems for extremely large telescopes. We derive a frame decomposition, i.e., a decomposition in terms of a frame, of the underlying atmospheric tomography operator, extending the singular-value-type decomposition results of Neubauer and Ramlau (2017) by allowing a mixture of both natural and laser guide stars, as well as arbitrary aperture shapes. Based on both analytical considerations as well as numerical illustrations, we provide insight into the properties of the derived frame decomposition and its building blocks.
