Schoeck Matthias, Chanan Gary
Appl Opt. 2023 Sep 1;62(25):6760-6770. doi: 10.1364/AO.499167.
Interferometric methods for phasing the primary mirrors of segmented-mirror telescopes generally need to make measurements at multiple wavelengths in order to achieve suitably large edge height capture ranges. In the presence of measurement errors, such methods have the potential for grossly wrong measurements, so-called edge jumps. In this paper, we investigate the causes of edge jumps using the example of Thirty Meter Telescope (TMT) phasing. We explain the reasons for their occurrence and develop a mathematical understanding of the conditions under which they arise. We describe how stability analyses of the vast parameter space relevant to TMT phasing can be accomplished in an efficient way and present examples of results. These concepts are also applicable to other multi-wavelength interferometric phase measurement techniques.
用于分段镜望远镜主镜相位调整的干涉测量方法通常需要在多个波长下进行测量，以便获得足够大的边缘高度捕获范围。在存在测量误差的情况下，此类方法有可能产生严重错误的测量结果，即所谓的边缘跳变。在本文中，我们以三十米望远镜（TMT）的相位调整为例，研究边缘跳变的成因。我们解释其出现的原因，并从数学角度理解它们产生的条件。我们描述了如何以高效的方式完成与TMT相位调整相关的庞大参数空间的稳定性分析，并给出了结果示例。这些概念也适用于其他多波长干涉相位测量技术。
