The effects of time delays in adaptive phase measurements

Berry, D. W. and Wiseman, H. M. (2001) The effects of time delays in adaptive phase measurements. Journal of Modern Optics, 48 5: 797-809. doi:10.1080/09500340010011682

Author Berry, D. W.
Wiseman, H. M.
Title The effects of time delays in adaptive phase measurements
Journal name Journal of Modern Optics   Check publisher's open access policy
ISSN 0950-0340
Publication date 2001
Sub-type Article (original research)
DOI 10.1080/09500340010011682
Volume 48
Issue 5
Start page 797
End page 809
Total pages 13
Place of publication [England]
Publisher Taylor & Francis
Collection year 2001
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
0205 Optical Physics
0206 Quantum Physics
Abstract 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) over bar (4 (n) over bar (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/(8 (n) over bar). 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.
Keyword Optics
Adaptive filtering
Approximation theory
Numerical methods
Optical phase conjugation
Phase measurement
Sensitivity analysis
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: Centre for Advanced Imaging Publications
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 4 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 14 Aug 2007, 16:14:49 EST