• Photonics Research
  • Vol. 10, Issue 11, 2513 (2022)
Jiading Tian1、2, Zehui Wang3, Qirong Xiao1、2、*, Dan Li1、2, Ping Yan1、2, and Mali Gong1、2
Author Affiliations
  • 1Department of Precision Instrument, Ministry of Education Key Laboratory of Photonic Control Technology, Tsinghua University, Beijing 100084, China
  • 2Department of Precision Instrument, State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University, Beijing 100084, China
  • 3Department of Laser Equipment, Jiangsu Shuguang Photoelectric Co., Ltd., Yangzhou 225009, China
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    DOI: 10.1364/PRJ.465896 Cite this Article Set citation alerts
    Jiading Tian, Zehui Wang, Qirong Xiao, Dan Li, Ping Yan, Mali Gong. On the initiation of fiber fuse damage in high-power ytterbium-doped fiber lasers[J]. Photonics Research, 2022, 10(11): 2513 Copy Citation Text show less

    Abstract

    Fiber fuse effect can occur spontaneously and propagate along optical fibers to cause widespread damage; it threatens all applications involving optical fibers. This paper presents two results. First, it establishes that the initiation of fiber fuse (IFF) in silica fibers is caused by virtual-defect-induced absorption. Critical temperatures and critical optical powers for IFF are simulated for the first time using a 3D solid-state heat transfer model with heat source generated by the virtual-defect-induced absorption. In this method, formation energies of the virtual defects can be uniquely determined, which offers critical information on the chemical reasons for fiber fuse. Second, this paper offers a method to evaluate operating temperatures of fiber lasers. General analytical solutions of the operating temperatures along gain fibers are deduced. Results of 976-nm laser-diode-pumped and 1018-nm tandem-pumped ytterbium-doped fiber (YDF) amplifiers using 10/130-μm YDFs are calculated. Potential limits caused by fiber fuse are discussed.
    lnPc=u0kB×1Tc+lnγ,

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    Pc=γ·exp(u0kBTc).

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    nF(T)=n0exp(uFkBT),

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    α(T)=αFn0exp(uFkBT)=a0exp(uFkBT)nF(T),

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    Pab,c=α0exp(uFkBTcore)·γexp(u0kBTc)=α0γexp(1kB(u0TcuFTcore)).

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    u0TcuFTcore0.

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    P(r,0)=P0πr02exp(2r2r02),

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    P(r,z)=P(r,0)limdξ0j=1zdξ(1α(r,j·dξ)dξ)=P(r,0)exp(0zα(r,ξ)dξ).

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    Q˙ab(r,z)=α(T)P(r,z)=P(r,z)α0exp(uFkBT),

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    T(z)t=0=TcΔT+ΔTexp((zz0)2(Δz)2),

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    P0Pc,

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    uFu0,exp+(u0,expu0,sim)=2u0,expu0,sim.

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    ρcTt=·(kT)+Q˙l,

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    ρcTt=1rr(krTr)+1r2φ(kTφ)+z(kTz)+Q˙l.

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    1rddr(krdTdr)=Q˙l,

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    d(krdTdr)=Q˙lrdr=(d(Q˙lr22)r22dQ˙l).

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    krdTdr=(Q˙lr220rr22dQ˙l).

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    dT=12Q˙lkrdr+(0rr22dQ˙l)drkr=12(d(Q˙lkr22)r22dQ˙lk)+(0rr22dQ˙l)dlnrk=14(d(Q˙lr2k)r2dQ˙lk)+(0rr22dQ˙l)(dlnrklnrd1k).

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    T(r)=T(0)14(Q˙lr2k0rr2dQ˙lk)+(0rr22dQ˙l)0r(dlnrklnrd1k).

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    Q˙2(z)=cqd(dP+(z)dz+dP(z)dz),

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    cqd=(1λp1λs)/1λs=λsλp1,

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    Q˙2(r,z)=λs({cqdλs}·({dP+λsdz}+{dPλsdz})),

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    P+/(r,z)={P+/(z)πr02,0rr10,r>r1,

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    Q˙l(r,z)={cqd(dP+(z)dz+dP(z)dz)1πr02,0rr10,r>r1={Q˙1,0rr10,r>r1.

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    T(r5)=Tboundary=T5.

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    T(0)=T5+Q˙1r124k1+Q˙1r122(lnr5r4k5+lnr4r3k4+lnr3r2k3+lnr2r1k2).

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    T(r)={T5+Q˙14k1(r12r2)+Q˙1r122(lnr5r4k5+lnr4r3k4+lnr3r2k3+lnr2r1k2),0r<r1T5+Q˙1r122(lnr5r4k5+lnr4r3k4+lnr3r2k3+lnr2rk2),r1r<r2T5+Q˙1r122(lnr5r4k5+lnr4r3k4+lnr3rk3),r2r<r3T5+Q˙1r122(lnr5r4k5+lnr4rk4),r3r<r4T5+Q˙1r122(lnr5rk5),r4rr5.

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    Tcore=T(0)=Tboundary+c0Q˙1,

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    c0=r122(lnr5r4k5+lnr4r3k4+lnr3r2k3+lnr2r1k2+12k1).

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    uF=TcoreTcu0=(1+c0Q˙1Tc)u0>u0.

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    Jiading Tian, Zehui Wang, Qirong Xiao, Dan Li, Ping Yan, Mali Gong. On the initiation of fiber fuse damage in high-power ytterbium-doped fiber lasers[J]. Photonics Research, 2022, 10(11): 2513
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