Optical response of a misaligned and suspended Fabry-Perot cavity

Year: 2006

Authors: Cella G., Di Virgilio A., La Penna P., D’Auria V., Porzio A., Ricciardi I., Solimeno S.

Autors Affiliation: INFN, Polo Fibonacci Largo B. Pontecorvo, 3 – 56127 Pisa, Italy;
EGO European Gravitational Observatory, Via E. Amaldi 56021 S. Stefano a Macerata – Cascina (PI), Italy;
Dipartimento Scienze Fisiche, Università Federico II, Complesso Universitario “Monte Sant’Angelo,” via Cintia, 80126 Napoli, Italy;
Coherentia, Complesso Universitario “Monte Sant’Angelo,” via Cintia, 80126 Napoli, Italy;
CNISM, Complesso Universitario “Monte Sant’Angelo,” via Cintia, 80126 Napoli, Italy;
INFN, Complesso Universitario “Monte Sant’Angelo,” via Cintia, 80126 Napoli, Italy

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

Journal/Review: PHYSICAL REVIEW A

Volume: 74 (1)      Pages from: 013814-1  to: 013814-14

KeyWords: Fabry Perot cavity; classical and quantum effects;
DOI: 10.1103/PhysRevA.74.013814

Citations: 1
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