Thermal-Noise Limit in the Frequency Stabilization of Lasers with Rigid Cavities

Computer Science – Numerical Analysis

Scientific paper

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Brownian Motion, Gravitational Wave Detectors And Experiments, Time And Frequency, Resonators, Cavities, Amplifiers, Arrays, And Rings

Scientific paper

We evaluate thermal noise (Brownian motion) in a rigid reference cavity used for frequency stabilization of lasers, based on the mechanical loss of cavity materials and the numerical analysis of the mirror-spacer mechanics with the direct application of the fluctuation dissipation theorem. This noise sets a fundamental limit for the frequency stability achieved with a rigid frequency-reference cavity of order 1 Hz/√(Hz) (0.01 Hz/√(Hz)) at 10mHz (100Hz) at room temperature. This level coincides with the world-highest level stabilization results.

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