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

Black, E.; Villar, A.; Libbrecht, K. G.

doi:10.1103/physrevlett.93.241101

Cited by 12 publications

(9 citation statements)

References 20 publications

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“…The theory of thermoelastic noise [20,21] has previously been validated experimentally [22]. The power spectrum density (m 2 /Hz) of the thermoelastic noise in a mirror was shown in Black et al [22] and described as follows:…”

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confidence: 99%

Reduction of Thermal Fluctuations in a Cryogenic Laser Interferometric Gravitational Wave Detector

et al. 2012

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The thermal fluctuation of mirror surfaces is the fundamental limitation for interferometric gravitational wave (GW) detectors. Here, we experimentally demonstrate for the first time a reduction in a mirror's thermal fluctuation in a GW detector with sapphire mirrors from the Cryogenic Laser Interferometer Observatory at 17 and 18 K. The detector sensitivity, which was limited by the mirror's thermal fluctuation at room temperature, was improved in the frequency range of 90 to 240 Hz by cooling the mirrors. The improved sensitivity reached a maximum of 2.2×10(-19) m/√Hz at 165 Hz.

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confidence: 99%

Reduction of Thermal Fluctuations in a Cryogenic Laser Interferometric Gravitational Wave Detector

et al. 2012

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“…Our experiment is uniquely sensitive to structural thermal noise at frequencies below a few kHz due to the mm-scale optical beam diameter, which reduces the impact of coating thermal noise and thermoelastic substrate noise [9]. This is in strong contrast to previous thermal noise measurements, where much smaller beam sizes (<0.1 mm) were used in order to magnify the effect of thermal noise [10][11][12]. Moreover, in the 80-200 Hz band our thermal noise is primarily due to above-resonance thermal noise.…”

Section: Introductionmentioning

confidence: 97%

Structural thermal noise in gram-scale mirror oscillators

et al. 2012

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The thermal noise associated with mechanical dissipation is a ubiquitous limitation to the sensitivity of precision experiments ranging from frequency stabilization to gravitational wave interferometry. We report on the thermal noise limits to the performance of 1 gm mirror oscillators that are part of a cavity optomechanics experiment to observe quantum radiation pressure noise. Thermal noise limits the observed cavity displacement spectrum from 80 Hz to 5 kHz. We present a calculation of the thermal noise, based on finite element analysis of the dissipation due to structural damping, and find it to be in excellent agreement with the experimental result. We conclude with the predicted thermal noise for an improved oscillator design, which should be capable of revealing the noise that arises from quantum backaction in this system.

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“…This is considerably more difficult to measure due to the reduced amplitude of off-resonance fluctuations, and necessitates a more sensitive read-out technique as well as a highly isolated environment. To date, measurements have been reported showing coating and mirror thermal noise as the dominant source of fluctuations in various regions of the displacement spectrum [21,22].…”

Section: Introductionmentioning

confidence: 99%

Frequency dependence of thermal noise in gram-scale cantilever flexures

et al. 2015

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We present measurements of the frequency dependence of thermal noise in aluminum and niobium flexures. Our measurements cover the audio-frequency band from 10 Hz to 10 kHz, which is of particular relevance to ground-based interferometric gravitational wave detectors, and span up to an order of magnitude above and below the fundamental flexure resonances. Results from two flexures are well explained by a simple model in which both structural and thermoelastic loss play a role. The ability of such a model to explain this interplay is important for investigations of quantum-radiation-pressure noise and the standard quantum limit. Furthermore, measurements on a third flexure provide evidence that surface damage can affect the frequency dependence of thermal noise in addition to reducing the quality factor, a result which will aid the understanding of how aging effects impact on thermal noise behavior.

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

Cited by 12 publications

References 20 publications

Reduction of Thermal Fluctuations in a Cryogenic Laser Interferometric Gravitational Wave Detector

Reduction of Thermal Fluctuations in a Cryogenic Laser Interferometric Gravitational Wave Detector

Structural thermal noise in gram-scale mirror oscillators

Frequency dependence of thermal noise in gram-scale cantilever flexures

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