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arXiv:1401.6673 (physics)
[Submitted on 26 Jan 2014 (v1), last revised 6 Jun 2014 (this version, v2)]

Title:Multidimensional optical trapping of a mirror

Authors:Antonio Perreca, James Lough, David Kelley, Stefan W. Ballmer
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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.
Comments: 12 pages, 7 figures
Subjects: Instrumentation and Detectors (physics.ins-det); Optics (physics.optics)
Report number: LIGO-P1300224
Cite as: arXiv:1401.6673 [physics.ins-det]
  (or arXiv:1401.6673v2 [physics.ins-det] for this version)
  https://doi.org/10.48550/arXiv.1401.6673
Journal reference: Phys. Rev. D 89, 122002 (2014)
Related DOI: https://doi.org/10.1103/PhysRevD.89.122002

Submission history

From: Antonio Perreca [view email]
[v1] Sun, 26 Jan 2014 17:53:29 UTC (483 KB)
[v2] Fri, 6 Jun 2014 22:28:28 UTC (427 KB)
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