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Title: Experimental upper limit on the estimated thermal noise at low frequencies in a gravitational wave detector

Abstract

The mirror relative motion of a suspended Fabry-Perot cavity is studied in the frequency range 3-100 Hz. The experimental measurements presented in this paper have been performed at the Low Frequency Facility, a high finesse optical cavity 1 cm long suspended to a mechanical seismic isolation system like the one of the VIRGO gravitational wave antenna. Because of the radiation pressure between the two mirrors of the cavity, the dynamic behavior of the system is characterized by the optical spring stiffness. In the frequency region above 3 Hz, where seismic noise contamination is negligible, the mirror displacement noise is stationary and its statistical distribution is Gaussian. Using a simplified mechanical model of the suspended system and applying the fluctuation dissipation theorem, we show that the measured power spectrum is reproduced in the frequency region 3-90 Hz. Since the contribution coming from different sources of the system to the total noise budget turns out to be negligible, we conclude that the relative displacement power spectrum of this opto-mechanical system is compatible with a system at thermal equilibrium within its environment. In the region 3-10 Hz this measurement gives so far the best upper limit for the thermal noise of the suspensionmore » for a gravitational wave interferometer.« less

Authors:
; ; ; ; ; ; ; ; ; ; ; ;  [1]; ;  [2]; ; ;  [1];  [3];  [4]
  1. INFN, Sezione di Pisa (Italy)
  2. European Gravitational Observatory, Cascina (Pi) (Italy)
  3. INFN Sezione di Firenze (Italy)
  4. INFN Sezione di Roma (Italy)
Publication Date:
OSTI Identifier:
21023993
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.76.122004; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANTENNAS; FLUCTUATIONS; GRAVITATIONAL WAVE DETECTORS; GRAVITATIONAL WAVES; INTERFEROMETERS; INTERFEROMETRY; MIRRORS; RADIATION PRESSURE; SEISMIC ISOLATION; SEISMIC NOISE; THERMAL EQUILIBRIUM

Citation Formats

Di Virgilio, A, Bigotta, S, Barsotti, L, Braccini, S, Bradaschia, C, Cella, G, Del Prete, M, Fiori, I, Frasconi, F, Gennai, A, Giazotto, A, Passuello, D, Raffaelli, F, Dattilo, V, La Penna, P, Ferrante, I, Fidecaro, F, Passaquieti, R, Universita di Pisa, Losurdo, G, and Majorana, E. Experimental upper limit on the estimated thermal noise at low frequencies in a gravitational wave detector. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.76.122004.
Di Virgilio, A, Bigotta, S, Barsotti, L, Braccini, S, Bradaschia, C, Cella, G, Del Prete, M, Fiori, I, Frasconi, F, Gennai, A, Giazotto, A, Passuello, D, Raffaelli, F, Dattilo, V, La Penna, P, Ferrante, I, Fidecaro, F, Passaquieti, R, Universita di Pisa, Losurdo, G, & Majorana, E. Experimental upper limit on the estimated thermal noise at low frequencies in a gravitational wave detector. United States. doi:10.1103/PHYSREVD.76.122004.
Di Virgilio, A, Bigotta, S, Barsotti, L, Braccini, S, Bradaschia, C, Cella, G, Del Prete, M, Fiori, I, Frasconi, F, Gennai, A, Giazotto, A, Passuello, D, Raffaelli, F, Dattilo, V, La Penna, P, Ferrante, I, Fidecaro, F, Passaquieti, R, Universita di Pisa, Losurdo, G, and Majorana, E. Sat . "Experimental upper limit on the estimated thermal noise at low frequencies in a gravitational wave detector". United States. doi:10.1103/PHYSREVD.76.122004.
@article{osti_21023993,
title = {Experimental upper limit on the estimated thermal noise at low frequencies in a gravitational wave detector},
author = {Di Virgilio, A and Bigotta, S and Barsotti, L and Braccini, S and Bradaschia, C and Cella, G and Del Prete, M and Fiori, I and Frasconi, F and Gennai, A and Giazotto, A and Passuello, D and Raffaelli, F and Dattilo, V and La Penna, P and Ferrante, I and Fidecaro, F and Passaquieti, R and Universita di Pisa and Losurdo, G and Majorana, E},
abstractNote = {The mirror relative motion of a suspended Fabry-Perot cavity is studied in the frequency range 3-100 Hz. The experimental measurements presented in this paper have been performed at the Low Frequency Facility, a high finesse optical cavity 1 cm long suspended to a mechanical seismic isolation system like the one of the VIRGO gravitational wave antenna. Because of the radiation pressure between the two mirrors of the cavity, the dynamic behavior of the system is characterized by the optical spring stiffness. In the frequency region above 3 Hz, where seismic noise contamination is negligible, the mirror displacement noise is stationary and its statistical distribution is Gaussian. Using a simplified mechanical model of the suspended system and applying the fluctuation dissipation theorem, we show that the measured power spectrum is reproduced in the frequency region 3-90 Hz. Since the contribution coming from different sources of the system to the total noise budget turns out to be negligible, we conclude that the relative displacement power spectrum of this opto-mechanical system is compatible with a system at thermal equilibrium within its environment. In the region 3-10 Hz this measurement gives so far the best upper limit for the thermal noise of the suspension for a gravitational wave interferometer.},
doi = {10.1103/PHYSREVD.76.122004},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 76,
place = {United States},
year = {2007},
month = {12}
}