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Published August 10, 2010 | Published
Journal Article Open

Shot-noise-limited control-loop noise in an interferometer with multiple degrees of freedom

Abstract

Precise measurements, such as those made with interferometric gravitational-wave detectors, require the measurement device to be properly controlled so that the sensitivity can be as high as possible. Mirrors in the interferometer are to be located at specific operation points to isolate laser noise and to accumulate the signal in resonant cavities. On the other hand, rigid control of an auxiliary degree of freedom may result in imposing sensing noise of the control on the target object as excess force noise. Evaluation of this so-called loop noise is important in order to design a decent control scheme of the measurement device. In this paper, we show the method to calculate the level of loop noise, which has been recently implemented in simulation tools that are broadly used for designing gravitational-wave detectors.

Additional Information

© 2010 Optical Society of America. Received 8 January 2010; revised 18 June 2010; accepted 7 July 2010; posted 8 July 2010 (Doc. ID 122401); published 4 August 2010. Most of the work shown in this paper was done in 2006 with the support of the Laser Interferometer Gravitational-Wave Observatory (LIGO) Visitors Program. We thank Peter Fritschel for inviting K. Somiya to the program and for valuable discussions. We also thank Rana Adhikari, Yoichi Aso, Stefan Ballmer, and Matt Evans for useful discussions. K. Somiya is currently supported by the Japan Society for the Promotion of Science (JSPS).

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August 19, 2023
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