Brillouin amplification supports 1×10−201\times10^{-20} accuracy in optical frequency transfer over 1400~km of underground fibre

preprint2015arXivOpen access

Abstract

We investigate optical frequency transfer over a 1400~km loop of underground fibre connecting Braunschweig and Strasbourg. Largely autonomous fibre Brillouin amplifiers (FBA) are the only means of intermediate amplification, allowing phase-continuous measurements over periods up to several days. Over a measurement period of about three weeks we find a weighted mean of the transferred frequency's fractional offset of (1.1±0.4)×10−20(1.1\pm0.4)\times10^{-20}. In the best case we find an instability of 6.9×10−216.9\times10^{-21} and a fractional frequency offset of 4.4×10−214.4\times10^{-21} at an averaging time of around 30~000~s. These results represent an upper limit for the achievable uncertainty over 1400 km when using a chain of remote Brillouin amplifiers, and allow us to investigate systematic effects at the 10−2010^{-20}-level.

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