Tuning the thermal expansion properties of optical reference cavities with fused silica mirrors

Thomas Legero; Thomas Kessler; Uwe Sterr

doi:10.1364/JOSAB.27.000914

Journal of the Optical Society of America B
Vol. 27,
Issue 5,
pp. 914-919
(2010)
•https://doi.org/10.1364/JOSAB.27.000914

Tuning the thermal expansion properties of optical reference cavities with fused silica mirrors

Thomas Legero, Thomas Kessler, and Uwe Sterr

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Thomas Legero, Thomas Kessler, and Uwe Sterr, "Tuning the thermal expansion properties of optical reference cavities with fused silica mirrors," J. Opt. Soc. Am. B 27, 914-919 (2010)

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Abstract

We investigate the thermal expansion of low thermal noise Fabry–Pérot cavities made of low thermal expansion (LTE) glass spacers and fused silica (FS) mirrors. The different thermal expansion of mirror and spacer deforms the mirror. This deformation strongly contributes to the cavity’s effective coefficient of thermal expansion (CTE), decreasing the zero crossing temperature by about $20 K$ compared to an all-LTE glass cavity. Finite element simulations and CTE measurements show that LTE rings optically contacted to the back surface of the FS mirrors allow to tune the zero crossing temperature over a range of $30 K$ .

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	Fused Silica (Corning)	ULE (Corning)	Zerodur (Schott)	ClearCeram (Ohara)
E (GPa)	72.7	67.6	90.3	90
σ	0.16	0.17	0.243	0.25

Cavity Configuration	A 2 ULE	B 1 ULE, 1 FS	C $12 mm$ Ring	D $9 mm$ Ring
Zero crossing temperature $T_{0}$ (°C)	$19.38 \pm 0.09$	$11.16 \pm 0.07$	$17.31 \pm 0.03$	$19.0 \pm 0.02$
Linear coefficient a $(10^{- 9} ∕ K^{2})$	$2.44 \pm 0.02$	$2.7 \pm 0.04$	$2.40 \pm 0.02$	$2.47 \pm 0.01$
Quadratic coefficient b $(10^{- 12} ∕ K^{3})$	$- 6 \pm 7$	$- 15 \pm 2$	$- 11 \pm 1$	$- 14 \pm 1$
Temporal drift γ $(10^{- 15} ∕ s)$	$- 5.9 \pm 0.8$	$- 0.2 \pm 0.15$	$- 0.6 \pm 0.4$	$- 1.0 \pm 0.2$

	Fused Silica (Corning)	ULE (Corning)	Zerodur (Schott)	ClearCeram (Ohara)
E (GPa)	72.7	67.6	90.3	90
σ	0.16	0.17	0.243	0.25

Cavity Configuration	A 2 ULE	B 1 ULE, 1 FS	C $12 mm$ Ring	D $9 mm$ Ring
Zero crossing temperature $T_{0}$ (°C)	$19.38 \pm 0.09$	$11.16 \pm 0.07$	$17.31 \pm 0.03$	$19.0 \pm 0.02$
Linear coefficient a $(10^{- 9} ∕ K^{2})$	$2.44 \pm 0.02$	$2.7 \pm 0.04$	$2.40 \pm 0.02$	$2.47 \pm 0.01$
Quadratic coefficient b $(10^{- 12} ∕ K^{3})$	$- 6 \pm 7$	$- 15 \pm 2$	$- 11 \pm 1$	$- 14 \pm 1$
Temporal drift γ $(10^{- 15} ∕ s)$	$- 5.9 \pm 0.8$	$- 0.2 \pm 0.15$	$- 0.6 \pm 0.4$	$- 1.0 \pm 0.2$

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