• Laser & Optoelectronics Progress
  • Vol. 60, Issue 1, 0106002 (2023)
Chi Wang, Yuancheng Zheng, Jinbo Chen*, Jianmei Sun, Wei Chen, Feilu Chen, and Fei Wang
Author Affiliations
  • Department of Precision Mechanical Engineering, School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China
  • show less
    DOI: 10.3788/LOP213082 Cite this Article Set citation alerts
    Chi Wang, Yuancheng Zheng, Jinbo Chen, Jianmei Sun, Wei Chen, Feilu Chen, Fei Wang. Influence of Ultra-Small GRIN Fiber Probe on Fiber F-P Interference Signal[J]. Laser & Optoelectronics Progress, 2023, 60(1): 0106002 Copy Citation Text show less

    Abstract

    Based on the interference fringe visibility of the ultra-small GRIN fiber probe, we study the influence of the GRIN fiber probe on the F-P interference signal. Furthermore, we analyze a theoretical formula of the fringe visibility of the ultra-small GRIN fiber probe based on the Gaussian beam and establish a corresponding test experimental system for verification. The experimental results show that for the ultra-small GRIN fiber probe with a focal spot diameter of 15 µm, the fringe visibility remains above 0.8 within a cavity length of 600-1350 µm. However, for single-mode fiber probes, the fringe visibility remains at 0.8 within a cavity length range of 130-530 µm. Therefore, the proposed ultra-small GRIN fiber probe improves the fringe visibility of the F-P interferometer for a long cavity length. This paper provides the theoretical foundation for further research into the application of the ultra-small GRIN fiber probe, which requires a long initial cavity length or a large dynamic range.
    I=I1+I2+2I1I2cos4πnzλ+φ
    V=Imax-IminImax+Imin=2I1I2I1+I2=2I1/I21+I1/I2=2c1+c,
    Ir,2z=2I0πw22zexp-2r2w2(2z)
    w2z=wf1+λ2z-zwπwf22
    η2z=0dIr,2z2πrdrI0=1-exp-d22wf2+2λπwf2z-zw2-1
    I1=I0R1
    I2=I01-R12R2η2z
    vz=2R1R21-R22η2zR21-R22η2z+R1
    η2z,k=0kdIr,2z2πrdrI0=1-exp-k2d22wf2+2λπwf2z-zw2-1
    vz,k=2R1R21-R22η2z,kR21-R22η2z,k+R1
    σ=1Ni=1Nvtestzi-vtheoryzi,k-μ2
    μ=1Ni=1Nvtestzi-vtheoryzi,k
    Chi Wang, Yuancheng Zheng, Jinbo Chen, Jianmei Sun, Wei Chen, Feilu Chen, Fei Wang. Influence of Ultra-Small GRIN Fiber Probe on Fiber F-P Interference Signal[J]. Laser & Optoelectronics Progress, 2023, 60(1): 0106002
    Download Citation