Abstract

We report on the results of an extensive campaign of optical and mechanical characterization of the ion-beam sputtered oxide layers (Ta2O5, TiO2, Ta2O5–TiO2, SiO2) within the high-reflection coatings of the Advanced LIGO, Advanced Virgo and KAGRA gravitational-wave detectors: refractive index, thickness, optical absorption, composition, density, internal friction and elastic constants have been measured; the impact of deposition rate and post-deposition annealing on coating internal friction has been assessed. For Ta2O5 and SiO2 layers, coating internal friction increases with the deposition rate, whereas the annealing treatment either erases or largely reduces the gap between samples with different deposition history. For Ta2O5–TiO2 layers, the reduction of internal friction due to TiO2 doping becomes effective only if coupled with annealing. All measured samples showed a weak dependence of internal friction on frequency [ϕc(f) = afb, with −0.208 < b < 0.140 depending on the coating material considered]. SiO2 films showed a mode-dependent loss branching, likely due to spurious losses at the coated edge of the samples. The reference loss values of the Advanced LIGO and Advanced Virgo input (ITM) and end (ETM) mirror HR coatings have been updated by using our estimated value of Young’s modulus of Ta2O5–TiO2 layers (120 GPa) and are about 10% higher than previous estimations.

Highlights

  • On September 14, 2015 at 09:50:45 UTC, a century after the fundamental predictions of Einstein [1, 2], the two detectors of the Advanced Laser Interferometer Gravitational-wave Observatory (Advanced LIGO) [3] simultaneously observed a transient gravitational-wave signal from the merger of two stellar-mass black holes [4]

  • We report on the results of an extensive campaign of optical and mechanical characterization of the ion-beam sputtered oxide layers (Ta2O5, TiO2, Ta2O5 –TiO2, SiO2) within the high-re ection coatings of the Advanced LIGO, Advanced Virgo and KAGRA gravitational-wave detectors: refractive index, thickness, optical absorption, composition, density, internal friction and elastic constants have been measured; the impact of deposition rate and post-deposition annealing on coating internal friction has been assessed

  • We presented in this work the results of an extensive campaign of optical and mechanical characterization of the IBS oxide layers (Ta2O5, TiO2, Ta2O5 –TiO2, SiO2) within the high-re ection (HR) coatings of the Advanced LIGO, Advanced Virgo and KAGRA gravitational-wave detectors

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Summary

Introduction

On September 14, 2015 at 09:50:45 UTC, a century after the fundamental predictions of Einstein [1, 2], the two detectors of the Advanced Laser Interferometer Gravitational-wave Observatory (Advanced LIGO) [3] simultaneously observed a transient gravitational-wave signal from the merger of two stellar-mass black holes [4]. The Laboratoire des Matériaux Avancés (LMA) has provided the high-re ection (HR) and anti-re ective (AR) coatings for the core optics of the Advanced LIGO, Advanced Virgo [8] and KAGRA [9] gravitational-wave interferometers [10] In such detectors, those large and massive suspended mirrors (up to ∅ = 35 cm, t = 20 cm and m = 40 kg) play the crucial role of gravitational- eld probes for the astrophysical signals [11]. We report on the results of an extensive campaign of optical and mechanical characterization of the materials within the HR coatings of all the present kilometer-scale gravitational-wave interferometers The relevance of these results is threefold: (i) we provide several parameters which are required to predict the coating thermal noise in the detectors; (ii) we point out the relevance of the synthesis process for the coatings’ properties, in particular with respect to mechanical loss; (iii) we set reference values for further research and development of low-noise coatings

Experiment
Optical characterization
Mechanical characterization
Results
Ta2O5 –TiO2 mixture
HR coatings of Advanced LIGO and Advanced Virgo
Conclusions
Frequency-dependent loss
Deposition rate
Annealing
Elastic constants
Edge effect
Loss of HR coatings
Metrology issue
Perspectives

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