Abstract
We put forward a new fiber optic sensor for measuring linear velocity with picometer/second sensitivity with weak-value amplification based on generalized Sagnac effect [Phys. Rev. Lett.93, 143901(2004)]. The generalized Sagnac effect was first introduced by Yao et al., which included the Sagnac effect of rotation as a special case and suggested a new fiber optic sensor for measuring linear motion with nanoscale sensitivity. By using a different scheme to perform the Sagnac interferometer with the probe in momentum space, we have demonstrated the new weak measure protocol to detect the linear velocity by amplifying the phase shift of the generalized Sagnac effect. Given the maximum incident intensity of the initial spectrum, the detection limit of the intensity of the spectrometer, we can theoretically give the appropriate pre-selection, post-selection and other optical structures before the experiment. Our numerical results show our scheme with weak-value amplification is effective and feasible to detect linear velocity with picometer/second sensitivity which is three orders of magnitude smaller than the result \(\nu \)=4.8 \(\times \) \(10^{-9}\) m/s obtained by generalized Sagnac effect with same fiber length.
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Data Availability Statement
This manuscript has no associated data or the data will not be deposited. Authors’ comment: The processed data required to reproduce these findings cannot be shared at this time as the data also forms part of an ongoing study.]
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Acknowledgements
This study was financially supported by the National Key Research and Development Program of China (Grant No. 2018YFC1503705) and the Fundamental Research Funds for National Universities, China University of Geosciences (Wuhan) (Grant No. G1323519204).
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Jing-Hui Huang and Xue-Ying Duan collected the literature and wrote the article. Guang-Jun Wang and Xiang-Yun Hu revised the article. Jing-Hui Huang designed the study. Xue-Ying Duan prepared figures and tables. All the authors were involved in the preparation of the manuscript. All the authors have read and approved the final manuscript.
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Huang, JH., Duan, XY., Wang, GJ. et al. The design of a new fiber optic sensor for measuring linear velocity with picometer/second sensitivity based on weak-value amplification. Eur. Phys. J. D 75, 256 (2021). https://doi.org/10.1140/epjd/s10053-021-00259-5
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DOI: https://doi.org/10.1140/epjd/s10053-021-00259-5