推导有限光速修正时的相对论、多普勒频移和延迟时间--对“自由降落绝对重力仪的二阶多普勒频移修正”一文的评论
Relativity, Doppler shifts, and retarded times in deriving the correction for the finite speed of light: a comment on 'Second-order Doppler-shift corrections in free-fall absolute gravimeters'
摘要：
在文章（Rothleitner and Francis 2011 Metrologia 48 187-195）中，从狭义相对论的观点分析了绝对重力仪中由于有限光速引起的校正。相对论的概念最终导致两个经典的方法来解决这个问题：拍频的分析，并引入延迟时间。在第一种方法中，必须假设一个额外的时间延迟，因为从加速反射器反弹的光束的频率在反射点处不同于在干涉点处。延迟时间形式主义等效于单个多普勒频移，但导致与拍频方法相同的校正，即使后者明确地组合了两个多普勒频移。在我们的评论中，我们讨论了这些问题和其他问题，我们发现与建议的治疗的纠正。
英文摘要：
In the article (Rothleitner and Francis 2011 Metrologia 48 187-195) the correction due to the finite speed of light in absolute gravimeters is analyzed from the viewpoint of special relativity. The relativistic concepts eventually lead to the two classical approaches to the problem: analysis of the beat frequency, and introduction of the retarded times. In the first approach, an additional time delay has to be assumed, because the frequency of the beam bounced from the accelerated reflector differs at the point of reflection from that at the point of interference. The retarded times formalism is equivalent to a single Doppler shift, but results in the same correction as the beat frequency approach, even though the latter is explicitly combines two Doppler shifts. In our comments we discuss these and other problems we found with the suggested treatment of the correction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
