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Published December 15, 1995 | public
Journal Article Open

Guided lock acquisition in a suspended Fabry-Perot cavity

Abstract

The process of lock acquisition in a high-finesse suspended Fabry–Perot cavity used in the LIGO 40-m interferometer is numerically simulated. The simulation, including a model of the cavity optical transient response as the mirrors swing through resonance, demonstrates that acquisition of lock by the controller depends on the relative velocity of the mirrors and establishes a threshold velocity below which acquisition may take place. The model results are used to implement a real-time controller that analyzes the transient response, extracts the mirror velocity, and then guides the mirrors into resonance with relative velocity under the threshold. The result is a factor-of-10 decrease in the experimentally observed acquisition time.

Additional Information

© 1995 Optical Society of America Received August 28, 1995 We thank our colleagues on the LIGO project for their support. We thank M. Regehr and D. Redding for helpful discussions on earlier work on Fabry–Perot optical modeling. Matlab software, donated to the LIGO project by The Math Works, Inc., was used in the servo modeling and design. This work is supported by the National Science Foundation under Cooperative Agreement PHY-9210038.

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August 22, 2023
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October 13, 2023