Optical vernier technique for in-situ measurement of the length of long Fabry-Perot cavities

Details Optical vernier technique for in-situ measurement of the length of long Fabry-Perot cavities Optical vernier technique for in-situ measurement of the length of long Fabry-Perot cavities

1998-09-19

arxiv.org/abs/physics/9809027v1

Meas. Sci. Technol. 10 (1999) 190-194

Physics

Instrumentation and Detectors

LaTeX 2e, 12 pages, 4 figures

Scientific paper

10.1088/0957-0233/10/3/013

We propose a method for in-situ measurement of the length of kilometer size Fabry-Perot cavities in laser gravitational wave detectors. The method is based on the vernier, which occurs naturally when the laser 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-Perot cavity in the Caltech 40m Interferometer and discuss the accuracy of the technique.

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