• Chinese Optics Letters
  • Vol. 20, Issue 8, 081403 (2022)
Pengcheng Fang1、2, Huanyao Sun1, Yan Wang1, Yanqi Xu1, and Qunfeng Chen1、*
Author Affiliations
  • 1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/COL202220.081403 Cite this Article Set citation alerts
    Pengcheng Fang, Huanyao Sun, Yan Wang, Yanqi Xu, Qunfeng Chen. Transfer of laser frequency from 729 nm to 1.5 µm with precision at the level of 10−20[J]. Chinese Optics Letters, 2022, 20(8): 081403 Copy Citation Text show less

    Abstract

    By using a self-reference transfer oscillator method, two individual 1560 nm lasers with about 1.2 GHz frequency difference were phase locked to a 729 nm ultra-stable laser at two preset ratios. By measuring the beat frequency of the two 1560 nm lasers, fractional instabilities of 2×10-17 at 1 s and 2×10-20 at 10,000 s averaging time were obtained, and the relative offset compared with the theoretical value was 4.2×10-21±4.5×10-20. The frequency ratio of them was evaluated to a level of 1.3×10-20 in one day’s data acquisition. This work was a preparation for remote comparison of optical clocks through optical fiber links. The technique can also be used to synthesize ultra-stable lasers at other wavelengths.
    fb1=ν1m1frfCEO,fb2=ν2m2frfCEO,

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    R=ν2ν1=m2fr+fCEO+fb2m1fr+fCEO+fb1=m2+xm1,

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    x=m1ν2m2ν1ν1=m1(fCEO+fb2)m2(fCEO+fb1)m1fr+fCEO+fb1.

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    fdiff=km1(fCEO+fb2)km2(fCEO+fb1),fref=km1(fr+fCEO+fb1)k(m11)(fCEO+fb1).

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    xs=fdifffref,i.e.,xs·freffdiff=0,

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    Δν=ν2ν2fref1×10MHz=(RsRs)ν1k×ν1×10MHz=1,250,026,239.036366754Hz,R=ν2ν2=RsRs=0.9999934932620125444703.

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    fm=19,531,659.984943243±1.4×107Hz.

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    Rm=0.9999934932620125444698±1.2×1020,

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    Pengcheng Fang, Huanyao Sun, Yan Wang, Yanqi Xu, Qunfeng Chen. Transfer of laser frequency from 729 nm to 1.5 µm with precision at the level of 10−20[J]. Chinese Optics Letters, 2022, 20(8): 081403
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