• Photonics Research
  • Vol. 11, Issue 11, 1892 (2023)
Mingwang Tian and Yidong Tan*
Author Affiliations
  • The State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instrument, Tsinghua University, Beijing 100084, China
  • show less
    DOI: 10.1364/PRJ.494882 Cite this Article Set citation alerts
    Mingwang Tian, Yidong Tan, "Intracavity-dynamics-based optical phase amplifier with over tenfold amplification," Photonics Res. 11, 1892 (2023) Copy Citation Text show less

    Abstract

    The relative phase change between two light fields can be used as a fundamental parameter to measure the physical quantity causing this change. Therefore, amplifying the relative phase change becomes attractive to improve the measurement resolution. Phase amplification using a many-body entangled state (NOON state) is a well-known method; nevertheless, the preparation process for a high-number NOON state is difficult and sensitive to optical loss. Here, we propose and experimentally verify a concise phase amplification method with a tolerance of about five orders of magnitude for optical loss. The method is based on the optical-feedback-induced intracavity harmonics generation effect to amplify the phase change by 11 times, which is comparable to the highest level of about 10 experimentally reached in NOON states. Furthermore, the 20th intracavity harmonic is generated when the reinjected photon number increases, indicating that 20 times phase amplification is attainable. The proposed method has a prospect for precision measurement applications.
    dNdt=γ1(N0N)BN|E(t)|2,dE(t)dt=[i(ωcω)+12(BNγc)]E(t)+γcκE(tτ)ei(4πΩt)ei(ω+2πΩ)τ,

    View in Article

    ΔII=κG(2Ω)cos(4πΩtφ0+Δφ),

    View in Article

    ΔINICNcos[N(4πΩtφ0)+NΔφ)].

    View in Article

    Δφ=N2πλΔL,N=1,2,3

    View in Article

    SNRN=PN2hνΔF.

    View in Article

    fd=2vλ.

    View in Article

    Er=P0η2ΩrT/Ω0.(A1)

    View in Article

    Mingwang Tian, Yidong Tan, "Intracavity-dynamics-based optical phase amplifier with over tenfold amplification," Photonics Res. 11, 1892 (2023)
    Download Citation