自适应相位测量中时延的影响
The effects of time delays in adaptive phase measurements
摘要：
不可能使用线性光学器件测量光学模式的相位而不引入额外的相位不确定性。这种额外的相位变化对于外差测量来说是相当大的，但是可以使用自适应测量将其减少到log（n）/（4n^2）的理论极限。这些测量对实验的不准确性非常敏感，特别是时间延迟和低效的检测器。这里示出了当存在τ的时间延迟时引入的最小相位方差是τ/（8 n）。数值验证了这一结果，表明引入的相位方差接近这一限制，对于大多数自适应计划使用最佳的最终相位估计。主要的例外是自适应马克II计划与简化的反馈，这是非常敏感的时间延迟。额外的相位方差由于时间延迟被认为是马克I的情况下，简化的反馈，验证了τ/2的结果由怀斯曼和Killip都通过一个更严格的分析技术和数值。
英文摘要：
It is not possible to make measurements of the phase of an optical mode using linear optics without introducing an extra phase uncertainty. This extra phase variance is quite large for heterodyne measurements, however it is possible to reduce it to the theoretical limit of log(n)/(4n^2) using adaptive measurements. These measurements are quite sensitive to experimental inaccuracies, especially time delays and inefficient detectors. Here it is shown that the minimum introduced phase variance when there is a time delay of tau is tau/(8n). This result is verified numerically, showing that the phase variance introduced approaches this limit for most of the adaptive schemes using the best final phase estimate. The main exception is the adaptive mark II scheme with simplified feedback, which is extremely sensitive to time delays. The extra phase variance due to time delays is considered for the mark I case with simplified feedback, verifying the tau/2 result obtained by Wiseman and Killip both by a more rigorous analytic technique and numerically.
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