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Applied Optics

Applied Optics


  • Vol. 37, Iss. 15 — May. 20, 1998
  • pp: 3236–3245

Radiation pressure and stability of interferometric gravitational-wave detectors

Vijay Chickarmane, Sanjeev V. Dhurandhar, Roland Barillet, Patrice Hello, and Jean-Yves Vinet  »View Author Affiliations

Applied Optics, Vol. 37, Issue 15, pp. 3236-3245 (1998)

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The effect of radiation pressure on the stability of Fabry–Perot cavities with hanging mirrors is investigated. Such cavities will form an integral part of the laser interferometric gravitational-wave detectors that are being constructed around the globe. The mirrors are hung by means of a pendulum suspension and are locked by servo controls. We assume a realistic servo-control transfer function that satisfies the standard stability criteria. We find that for positive offsets from the resonance of the cavity the system is stable. However, we show that for negative offsets instabilities can occur, although the servo system has the effect of increasing the instability threshold, compared with the nonservoed case. Conditions for stability are finally given, involving the finesse of the cavity, the input power, the mass of the mirrors, the servo gain, and the phase detuning from perfect resonance. Gravitational-wave detectors with arm cavities having a finesse as low as approximately 200 could exhibit instabilities. Some implications for the locking of these detectors are finally given.

© 1998 Optical Society of America

OCIS Codes
(000.2780) General : Gravity
(040.0040) Detectors : Detectors
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(350.5610) Other areas of optics : Radiation

Original Manuscript: June 3, 1997
Revised Manuscript: November 3, 1997
Published: May 20, 1998

Vijay Chickarmane, Sanjeev V. Dhurandhar, Roland Barillet, Patrice Hello, and Jean-Yves Vinet, "Radiation pressure and stability of interferometric gravitational-wave detectors," Appl. Opt. 37, 3236-3245 (1998)

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