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Published March 1999 | public
Journal Article Open

An optical vernier technique for in situ measurement of the length of long Fabry-Pérot cavities

Abstract

We propose a method for in situ measurement of the length of kilometre-sized Fabry-Pérot cavities in laser gravitational wave detectors. The method is based on the vernier, which occurs naturally when the laser beam incident on the cavity has a sideband. By changing the length of the cavity over several wavelengths we obtain a set of carrier resonances alternating with sideband resonances. From the measurement of the separation between the carrier and a sideband resonance we determine the length of the cavity. We apply the technique to the measurement of the length of a Fabry-Pérot cavity in the Caltech 40m interferometer and discuss the accuracy of the technique.

Additional Information

Copyright © Institute of Physics and IOP Publishing Limited 1999. Received 19 May 1998, in final form 12 November 1998, accepted for publication 2 December 1998. Print publication: Issue 3 (March 1999). We are very grateful to G Hu for setting up the data acquisition for the experiment. We also thank S Whitcomb, A Lazzarini, J Camp and A Arodzero for discussions and their comments on the paper. This work is supported by the National Science Foundation of the USA under cooperative agreement PHY-9210038.

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August 22, 2023
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