Thermoelastic effects at low temperatures and quantum limits in displacement measurements

Cerdonio, M.; Conti, L.; Heidmann, A.; Pinard, M.

doi:10.1103/physrevd.63.082003

Cited by 94 publications

(119 citation statements)

References 15 publications

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“…Our results agree well with the thermoelastic-damping noise predictions of Braginsky, et al [1] and Cerdonio, et al [2], which have been used to predict the astrophysical reach of advanced interferometric gravitational wave detectors. …”

supporting

confidence: 82%

“…In this limit, heat flow is perpendicular to the surface of the mirror, and the effect can be modeled by a one-dimensional diffusion equation. This result was later extended by Cerdonio, et al [2], who solved the multi-dimensional problem and derived an expression valid at all frequencies and spot sizes. The latter gives the displacement noise power spectral density (in m 2 /Hz)…”

Section: Theorymentioning

confidence: 74%

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Thermoelastic-Damping Noise from Sapphire Mirrors in a Fundamental-Noise-Limited Interferometer

2004

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We report the first high-precision interferometer using large sapphire mirrors, and we present the first direct, broadband measurements of the fundamental thermal noise in these mirrors. Our results agree well with the thermoelastic-damping noise predictions of Braginsky, et al. [1] and Cerdonio, et al. [2], which have been used to predict the astrophysical reach of advanced interferometric gravitational wave detectors.

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supporting

confidence: 82%

Section: Theorymentioning

confidence: 74%

Thermoelastic-Damping Noise from Sapphire Mirrors in a Fundamental-Noise-Limited Interferometer

2004

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“…It was supposed that the coating loss angle is independent of the frequency and 4 × 10 −4 . The substrate loss is the summation of the structure [55] and thermoelastic damping [56,57]. It was assumed that the substrate Q-values are 10 8 [9,58,59].…”

Section: B Coating Thermal Noise In Interferometric Gravitational Wamentioning

confidence: 99%

Measurement of the mechanical loss of a cooled reflective coating for gravitational wave detection

et al. 2006

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We have measured the mechanical loss of a dielectric multilayer reflective coating (ion-beam sputtered SiO2 and Ta2O5) in cooled mirrors. The loss was nearly independent of the temperature (4 K ∼ 300 K), frequency, optical loss, and stress caused by the coating, and the details of the manufacturing processes. The loss angle was (4 ∼ 6) × 10 −4 . The temperature independence of this loss implies that the amplitude of the coating thermal noise, which is a severe limit in any precise measurement, is proportional to the square root of the temperature. Sapphire mirrors at 20 K satisfy the requirement concerning the thermal noise of even future interferometric gravitational wave detector projects on the ground, for example, LCGT.

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“…One such effect which is large at low frequencies in optical cavity systems is the photothermal-effect-induced noise [15,16,17]. This effect has not previously been reported in an OPA system to our knowledge.…”

Section: Introductionmentioning

confidence: 83%

“…τ T sets the critical frequency (adiabatic limit) for the response to the fluctuations in the optical power and is therefore given by [17,22] …”

Section: A Power Absorption In the Crystalmentioning

confidence: 99%

Photothermal fluctuations as a fundamental limit to low-frequency squeezing in a degenerate optical parametric oscillator

et al. 2005

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We study the effect of photothermal fluctuations on squeezed states of light through the photorefractive effect and thermal expansion in a degenerate optical parametric amplifier (OPA). We also discuss the effect of the photothermal noise in various cases and how to minimize its undesirable consequences. We find that the photothermal noise in the OPA introduces a significant amount of noise on phase squeezed beams, making them less than ideal for low frequency applications such as gravitational wave (GW) interferometers, whereas amplitude squeezed beams are relatively immune to the photothermal noise and may represent the best choice for application in GW interferometers.

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Thermoelastic effects at low temperatures and quantum limits in displacement measurements

Cited by 94 publications

References 15 publications

Thermoelastic-Damping Noise from Sapphire Mirrors in a Fundamental-Noise-Limited Interferometer

Thermoelastic-Damping Noise from Sapphire Mirrors in a Fundamental-Noise-Limited Interferometer

Measurement of the mechanical loss of a cooled reflective coating for gravitational wave detection

Photothermal fluctuations as a fundamental limit to low-frequency squeezing in a degenerate optical parametric oscillator

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