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Multidimensional optical trapping of a mirror

Antonio Perreca*, James Lough†, David Kelley‡, and Stefan W. Ballmer§

  • Department of Physics, Syracuse University, Syracuse, New York 13244-1130, USA

  • *aperreca@syr.edu
  • †jdlough@syr.edu
  • ‡dbkelley@syr.edu
  • §sballmer@syr.edu
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Phys. Rev. D 89, 122002 – Published 5 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.122002

Abstract

Alignment control in gravitational-wave detectors has consistently proven to be a difficult problem due to the stringent noise contamination requirement for the gravitational wave readout and the radiation-pressure-induced angular instability in Fabry-Perot cavities (Sidles-Sigg instability). We present the analysis of a dual-carrier control scheme that uses radiation pressure to control a suspended mirror, trapping it in the longitudinal degree of freedom and one angular degree of freedom. We show that this scheme can control the Sidles-Sigg angular instability. Its limiting fundamental noise source is the quantum radiation pressure noise, providing an advantage compared to the conventional angular control schemes. In the Appendix we also derive an exact expression for the optical spring constant used in the control scheme.

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Phys. Rev. D 89, 122002– Published 5 June, 2014
  • Received 31 January 2014

© 2014 American Physical Society

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