2002
DOI: 10.1088/0264-9381/19/7/412
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Thermal lensing in cryogenic sapphire substrates

Abstract: We report the reduction of the thermal lensing in cryogenic sapphire mirrors, which is planed to be used in the Large scale Cryogenic Gravitational wave Telescope (LCGT) project. We measured three key parameters of sapphire substrate for thermal lensing at cryogenic temperature. They are optical absorption coefficient, thermal conductivity and temperature coefficient of refractive index at cryogenic temperature. On basis of these measurements, we estimated the shot noise sensitivity of the interferometer with … Show more

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Cited by 38 publications
(29 citation statements)
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“…The assumed values for lower temperatures represent a conservative extrapolation. Tomaru et al [26] measured β for sapphire at temperatures down to 5 K. But in the temperature range from 5 K to 40 K they were TABLE I. Assumed thermal properties for silicon and sapphire.…”
Section: A Materials Propertiesmentioning
confidence: 99%
“…The assumed values for lower temperatures represent a conservative extrapolation. Tomaru et al [26] measured β for sapphire at temperatures down to 5 K. But in the temperature range from 5 K to 40 K they were TABLE I. Assumed thermal properties for silicon and sapphire.…”
Section: A Materials Propertiesmentioning
confidence: 99%
“…Sapphire is transparent to the standard wavelength adopted in the gravitational wave detectors (1064 nm). It shows relatively small thermal lensing [51] due to its large thermal conductivity at low temperature (2330 W· m −1 K −1 at 10 K), but the high optical absorption (about 90 ppm/cm [52]) measured in the available substrate samples, constrains the interferometer design and limits the future light power increase in the main Fabry-Perot cavities. Future improvement in the optical properties of the Sapphire substrate could enhance the possibilities of this solution.…”
Section: Mirror Thermal Noisementioning
confidence: 99%
“…As the thermo-refractive coefficient of sapphire is smaller than 9 Â 10 À8 K À1 at temperatures below 40 K (Ref. 13) the effect of the windows onto the final results is negligible.…”
mentioning
confidence: 99%