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Phasing segmented mirrors: a modification of the Keck narrow-band technique and its application to extremely large telescopes

机译：相位分段镜：Keck窄带技术的改进及其在超大型望远镜中的应用

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Future telescopes with diameters greater than 10 in, usually referred to as extremely large telescopes (ELTs), will employ segmented mirrors made up of hundreds or even thousands of segments, with tight constraints on the piston errors between individual segments. The 10-m Keck telescopes are routinely phased with the narrow-band phasing technique. This is a variation of the Shack-Hartmann wave-front sensor in which the signal is the correlation between individual subimages and simulated images. We have investigated the applicability of this technique to ELTs, and in the process we have developed what to our knowledge is a new algorithm in which each subimage provides on its own a piston-dependent value. We also discuss an alternative algorithm to resolve the lambda ambiguity that allows detection of problematic cases, and a modification of the singular-value-decomposition procedure used to phase the whole mirror, using weightings on individual measurement errors. By means of simulations we show that the modified technique shows improved performance and that it can work with sufficient precision on telescopes as large as 100 m. (C) 2002 Optical Society of America. [References: 12]
机译：未来直径大于10英寸的望远镜（通常称为超大望远镜（ELT））将采用由数百个甚至数千个扇形段组成的分段镜，并对各个扇形段之间的活塞误差施加严格的约束。 10米的凯克望远镜通常采用窄带定相技术进行定相。这是Shack-Hartmann波前传感器的一种变体，其中信号是各个子图像和模拟图像之间的相关性。我们已经研究了该技术对ELT的适用性，并且在此过程中，我们开发出了据我们所知的新算法，其中每个子图像都自行提供了与活塞相关的值。我们还讨论了用于解决lambda模糊度（允许检测有问题的情况）的替代算法，以及使用权重对单个测量误差的修改，用于对整个镜像进行相位调整的奇异值分解过程。通过仿真，我们表明改进的技术显示出改进的性能，并且可以在100 m的望远镜上以足够的精度工作。 （C）2002年美国眼镜学会。 [参考：12]

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