Thermal noise of whispering gallery resonators

By direct application of the fluctuation-dissipation theorem, we numerically calculate the fundamental dimensional fluctuations of crystalline CaF2 whispering gallery resonators in the case of structural damping, and the limit that this noise imposes on the frequency stability of such resonators at...

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Bibliographic Details
Published in:arXiv.org 2012-03
Main Authors: Akobuije Chijioke, Chen, Qun-Feng, Alexander Yu Nevsky, Schiller, Stephan
Format: Article
Language:English
Subjects:
Cryogenic temperature
Damping
Dependence
Frequency stability
Noise
Refractivity
Resonators
Stability analysis
Thermal noise
Variation
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Summary:By direct application of the fluctuation-dissipation theorem, we numerically calculate the fundamental dimensional fluctuations of crystalline CaF2 whispering gallery resonators in the case of structural damping, and the limit that this noise imposes on the frequency stability of such resonators at both room and cryogenic temperatures. We analyze elasto-optic noise - the effect of Brownian dimensional fluctuation on frequency via the strain-dependence of the refractive index - a noise term that has so far not been considered for whispering-gallery resonators. We find that dimensional fluctuation sets a lower limit of 1E-16 to the Allan deviation for a 10-millimeter-radius sphere at 5 K, predominantly via induced fluctuation of the refractive index.
ISSN:2331-8422
DOI:10.48550/arxiv.1107.0276