Optical response of a misaligned and suspended Fabry-Perot cavity

作者: G. Cella , A. Di Virgilio , P. La Penna , V. D’Auria , A. Porzio

DOI: 10.1103/PHYSREVA.74.013814

关键词: Optical cavityPonderomotive forceFabry–Pérot interferometerOpticsTransverse planeDetectorPhysicsSidebandRadiation pressureGravitational waveAtomic and Molecular Physics, and Optics

摘要: The response to a probe laser beam of suspended, misaligned, and detuned optical cavity is examined. A five degree freedom dynamical model the fluctuations longitudinal transverse mirror coordinates presented. Classical quantum mechanical effects radiation pressure are studied with help stiffness coefficients signals provided by an FM sideband technique quadrant detector, for generic values product $\ensuremath{\varpi}\ensuremath{\tau}$ fluctuation frequency times round trip. simplified version presented case small misalignments. Mechanical stability, position entanglement, ponderomotive squeezing accommodated in this model. Numerical plots refer cavities under test at so-called Pisa LF facility. can describe recently appeared VIRGO antenna give framework designing next generation gravitational wave antennas where such would be critical relevance.

参考文章(75)
Crispin W. Gardiner, Handbook of Stochastic Methods Springer Series in Synergetics. ,(1983) , 10.1007/978-3-662-02377-8
A. Heidmann, S. Reynaud, Photon noise reduction by reflection from a movable mirror. Physical Review A. ,vol. 50, pp. 4237- 4243 ,(1994) , 10.1103/PHYSREVA.50.4237
P. F. Cohadon, A. Heidmann, M. Pinard, Cooling of a Mirror by Radiation Pressure Physical Review Letters. ,vol. 83, pp. 3174- 3177 ,(1999) , 10.1103/PHYSREVLETT.83.3174
Paolo Tombesi, Vittorio Giovannetti, Stefano Mancini, Radiation pressure induced Einstein-Podolsky-Rosen paradox EPL. ,vol. 54, pp. 559- 565 ,(2001) , 10.1209/EPL/I2001-00284-X
V. B. Braginsky, A. B. Manukin, William O. Hamilton, Measurement of Weak Forces in Physics Experiments ,(1977)
Constanze Höhberger Metzger, Khaled Karrai, Cavity cooling of a microlever Nature. ,vol. 432, pp. 1002- 1005 ,(2004) , 10.1038/NATURE03118
Kevin Vandersloot, Ghanashyam Date, Martin Bojowald, Homogeneous loop quantum cosmology: the role of the spin connection Classical and Quantum Gravity. ,vol. 21, pp. 1253- 1278 ,(2004) , 10.1088/0264-9381/21/4/034
Ph. Tourrenc, N. Deruelle, Effects of the time delays in a non linear pendular Fabry-Perot Annales de Physique. ,vol. 10, pp. 241- 252 ,(1985) , 10.1051/ANPHYS:01985001003024100
Kenji Numata, Masaki Ando, Kazuhiro Yamamoto, Shigemi Otsuka, Kimio Tsubono, Wide-band direct measurement of thermal fluctuations in an interferometer. Physical Review Letters. ,vol. 91, pp. 260602- ,(2003) , 10.1103/PHYSREVLETT.91.260602
A.O. Caldeira, A.J. Leggett, Path integral approach to quantum Brownian motion Physica A: Statistical Mechanics and its Applications. ,vol. 121, pp. 587- 616 ,(1983) , 10.1016/0378-4371(83)90013-4