Abstract
A self-reference direct-measuring scheme for optical frequency ratio measurement is present in this work. The mathematical construction for the scheme is described in detail. An RF processing system was built according to the scheme. To examine the precision of the system, we measured the frequency ratio between the second harmonic and fundamental frequencies of a 1560-nm ultrastable laser. In 1 day’s measurement, a ratio of \((2+1.2\times 10^{-22})\pm 1.4\times 10^{-21}\) was obtained. The corresponding fractional frequency instability was \(5\times 10^{-19}\) at the averaging time of 1 s and less than \(2\times 10^{-21}\) at 1000–10,000 s. This result suggested that the precision of the RF processing system was sufficient for comparison of state-of-the-art optical clocks at the level of \(10^{-18}\).
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Acknowledgements
We acknowledge the colleagues from National Time Service Center, CAS for technical support on the erbium-fiber based frequency comb.
Funding
National Key R&D Program of China, Grant No. 2017YFA0304403 and 2020YFA0309801, the Strategic Priority Research Program of the Chinese Academy of Sciences, Grant No. XDB21010300 and XDB21030100, National Natural Science Foundation of China, Grant No. 91636110 and U1738141.
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Fang, P., Sun, H., Wang, Y. et al. A self-reference direct-measuring scheme for precision optical frequency ratio measurement. Appl. Phys. B 128, 73 (2022). https://doi.org/10.1007/s00340-022-07794-y
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DOI: https://doi.org/10.1007/s00340-022-07794-y