Cryogenic measurements of mechanical loss of high-reflectivity coating and estimation of thermal noise

Massimo Granata; Kieran Craig; Gianpietro Cagnoli; Cécile Carcy; William Cunningham; Jérôme Degallaix; Raffaele Flaminio; Danièle Forest; Martin Hart; Jan-Simon Hennig; James Hough; Ian MacLaren; Iain William Martin; Christophe Michel; Nazario Morgado; Salim Otmani; Laurent Pinard; Sheila Rowan

doi:10.1364/OL.38.005268

Optics Letters
Vol. 38,
Issue 24,
pp. 5268-5271
(2013)
•https://doi.org/10.1364/OL.38.005268

Cryogenic measurements of mechanical loss of high-reflectivity coating and estimation of thermal noise

Massimo Granata, Kieran Craig, Gianpietro Cagnoli, Cécile Carcy, William Cunningham, Jérôme Degallaix, Raffaele Flaminio, Danièle Forest, Martin Hart, Jan-Simon Hennig, James Hough, Ian MacLaren, Iain William Martin, Christophe Michel, Nazario Morgado, Salim Otmani, Laurent Pinard, and Sheila Rowan

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Massimo Granata, Kieran Craig, Gianpietro Cagnoli, Cécile Carcy, William Cunningham, Jérôme Degallaix, Raffaele Flaminio, Danièle Forest, Martin Hart, Jan-Simon Hennig, James Hough, Ian MacLaren, Iain William Martin, Christophe Michel, Nazario Morgado, Salim Otmani, Laurent Pinard, and Sheila Rowan, "Cryogenic measurements of mechanical loss of high-reflectivity coating and estimation of thermal noise," Opt. Lett. 38, 5268-5271 (2013)

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Abstract

We report on low-frequency measurements of the mechanical loss of a high-quality (transmissivity $T < 5 ppm$ at $λ_{0} = 1064 nm$ , absorption loss $< 0.5 ppm$ ) multilayer dielectric coating of ion-beam-sputtered fused silica and titanium-doped tantala in the 10–300 K temperature range. A useful parameter for the computation of coating thermal noise on different substrates is derived as a function of temperature and frequency.

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$i$	$ν_{i}$ [Hz]	T [K]	$〈 ϕ_{∥} 〉$	$ϕ_{⊥}$	$A_{m}$ ( ${SiO}_{2}$ )	$A_{m}$ (Sapphire)	$A_{m}$ (Si)
1	$\sim 70$	20	$0.82 \pm 0.04$	0.86–1.01	1.05–1.12	0.52–0.61	0.57–0.66
		40	$0.61 \pm 0.07$	0.68–0.72	0.80–0.82	0.41–0.43	0.45–0.47
2	$\sim 460$	20	$0.81 \pm 0.08$	0.82–1.00	1.03–1.10	0.50–0.60	0.55–0.65
		40	$0.70 \pm 0.05$	0.81–0.82	0.93–0.94	0.49–0.50	0.53–0.54
3	$\sim 1300$	20	$0.89 \pm 0.02$	0.76–1.12	1.07–1.22	0.47–0.68	0.53–0.72
		40	$0.76 \pm 0.08$	0.88–0.91	1.01–1.02	0.53–0.55	0.57–0.59
		100	$0.43 \pm 0.03$	0.38–0.46	0.52–0.55	0.24–0.28	0.26–0.31
		295	$0.36 \pm 0.01$	0.28–0.44	0.42–0.49	0.17–0.27	0.20–0.29
4	$\sim 2600$	20	$0.91 \pm 0.02$	0.90–1.16	1.15–1.26	0.55–0.70	0.61–0.75
		40	$0.84 \pm 0.01$	0.95–1.04	1.10–1.14	0.57–0.62	0.62–0.67
5	$\sim 4100$	–	–	–	–	–	–
6	$\sim 6500$	20	$0.97 \pm 0.01$	–	–	–	–

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