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Published June 20, 1994 | Published
Journal Article Open

Mirror-orientation noise in a Fabry-Perot interferometer gravitational wave detector


The influence of angular mirror-orientation errors on the length of a Fabry-Perot resonator is analyzed geometrically. Under conditions in which dominant errors are static or vary slowly over time, the analysis permits a simple prediction of the spectrum of short-term cavity length fluctuations resulting from mirror-orientation noise. The resulting model is applicable to the design of mirror control systems for the Laser Interferometer Gravitational-Wave Observatory, which will monitor separations between mirrored surfaces of suspended inertial test bodies as a way to measure astrophysical gravitational radiation. The analysis is verified by measuring the response of the Laser Interferometer Gravitational- Wave Observatory's 40-m interferometer test-bed to the rotation of its mirrors.

Additional Information

© 1994 Optical Society of America. Received 11 January 1993; revised manuscript received 12 October 1993. We thank all those who contributed to the construction and improvement of the interferometer, and we are grateful for the continuing support of LIGO science, engineering, and administrative staff. We are especially grateful to J. Chapsky for designing the improved control electronics and to A. Gillespie, F. Raab, R. Spero, and S. Whitcomb for their assistance in measuring and analyzing the data and preparing the manuscript. Our work is supported by National Science Foundation grant PHY-9210038.

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August 20, 2023
August 20, 2023