New Results on Photothermal Effect: Size and Coating Effect

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Presentation transcript:

New Results on Photothermal Effect: Size and Coating Effect M. De Rosa INOA, LENS, INFN F. Marin University of Florence, LENS, INFN F. Marino INFN O. Arcizet, M. Pinard, A. Heidmann Laboratoire Kastler Brossel, Paris Cascina 9/06/05

Photothermal effect Photon absorption  Local heating In GW detectors: Thermal expansion In GW detectors: Intensity noise turns into position fluctuations A theoretical model: beam waist mirror size materials (substrates and coatings)

Half-infinite mirror Logarithmic divergence ! Size effects? Coatings ? Cerdonio et al., Phys. Rev. D 63, 082003 (2001) Braginsky et al., Phys. Lett. A 264, 1 (1999) Logarithmic divergence ! Size effects? Coatings ?

First experimental test Power modulation, P=Po + Pm sin ωmt Phase-sensitive detection Fitting curve: l = Lo K(/c)½ c = 2.8 ± 0.6 Hz (calculated: 1.8 — 2.7 Hz) absorption coefficient: ~ 5 • 10-7 De Rosa et al., Phys. Rev. Lett. 89, 237402 (2002)

Scheme of the measurements The laser frequency is locked to the reference cavity The intensity of the light impinging on the probed cavity is modulated at a frequency Ωmod Phase sensitive detection of the induced mirror displacements by measuring the frequency detuning of the cavity resonance (Amplitude and phase information)

Old setup (AURIGA laser system) Modulation on both cavities: differential effect Small modulation depth (1% of total power) No relative locking of the cavities: large errors on long time series, drift... Small relative tuning range

New setup Modulation on one cavity High modulation depth (> 20% of total power) AOM allows large and fast tunability of the cavities and relative locking of the two cavities

xe xc PD3: Power monitor (Wmod) PD2: error/correction signal Numerical lock-in: amplitude and phase of syncronous detection at Wmod GPDH Gloop s GAOM xe xc

Probed Cavities Mirrors substrate: Fused Silica Coatings: SiO2/Ta2O5

Long cavity a) half-infinite mirror b) finite size effects c) coating effect

Short cavity we cannot investigate very low frequency (long time PT drift) coating effect

Conclusions Future beam waist dependence of cut-off frequency finite size effects at low frequency coating effects improvement of the half-infinite mirror model including finite size and coating effect (material properties) Future behaviour at low temperature different substrates (Sapphire, Silicon,…)

FP transmission by sweeping nL: hysteresis

Optical cavities showed bistability and stochastic resonance due to photo-thermal effect Effects very important for ultra-sensitive displacement detection New questions: Stochastic-driven nonlinear dynamics will prevent from observing signals? Stochastic Resonance can improve sensitivity?