Rakhmanov, Malik (2001) Doppler-induced dynamics of fields in Fabry–Perot cavities with suspended mirrors. Applied Optics, 40 (12). pp. 1942-1949. ISSN 0003-6935. https://resolver.caltech.edu/CaltechAUTHORS:RAKao01b
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Abstract
The Doppler effect in Fabry-Perot cavities with suspended mirrors is analyzed. The Doppler shift, which is intrinsically small, accumulates in the cavity and becomes comparable with or greater than the linewidth of the cavity if the cavity s finesse is high or its length is large. As a result, damped oscillations of the cavity field occur when one of the mirrors passes a resonance position. A formula for this transient is derived. It is shown that the frequency of the oscillations is equal to the accumulated Doppler shift and that the relaxation time of the oscillations is equal to the storage time of the cavity. Comparison of the predicted and the measured Doppler shifts is discussed, and application of the analytical solution for measurement of the mirror velocity is described.
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| Additional Information: | © Copyright 2001 Optical Society of America. Received 1 March 2000; revised manuscript received 16 January 2001. I thank Guoan Hu for assistance with the experiment and Hiro Yamamoto and Matt Evans for helpful discussions. I also thank Barry Barish and other scientists of the LIGO project: Rick Savage, David Shoemaker, and Stan Whitcomb, for their suggestions about the manuscript during the draft process. Finally, I thank David Reitze and David Tanner of the University of Florida for discussions of the transient and their comments on the paper. This research was supported by the National Science Foundation under cooperative agreement PHY-9210038. | ||||||
| Subject Keywords: | Fabry-Perot cavities; Reflection; Velocimetry; Optical resonators; Laser Doppler velocimetry | ||||||
| Issue or Number: | 12 | ||||||
| Record Number: | CaltechAUTHORS:RAKao01b | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:RAKao01b | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 5243 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Lindsay Cleary | ||||||
| Deposited On: | 06 Oct 2006 | ||||||
| Last Modified: | 02 Oct 2019 23:20 |
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