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We propose a method for in-situ measurement of the length of kilometer sizeFabry-Perot cavities in laser gravitational wave detectors. The method is basedon the vernier, which occurs naturally when the laser incident on the cavityhas a sideband. By changing the length of the cavity over several wavelengthswe obtain a set of carrier resonances alternating with sideband resonances.  From the measurement of the separation between the carrier and a sidebandresonance we determine the length of the cavity. We apply the technique to themeasurement of the length of a Fabry-Perot cavity in the Caltech 40mInterferometer and discuss the accuracy of the technique.Comment: LaTeX 2e, 12 pages, 4 figure

An optical vernier technique forin situmeasurement of the length of long Fabry-Pérot cavities