• Chinese Optics Letters
  • Vol. 22, Issue 1, 013201 (2024)
Fukang Yin1,2, Tie-Jun Wang1,2,*, Yaoxiang Liu1, Juan Long1,2..., Yingxia Wei1, Bin Zhu3, Kainan Zhou3 and Yuxin Leng1,2|Show fewer author(s)
Author Affiliations
  • 1State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics and CAS Center for Excellence in Ultra-intense Laser Science, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Laser Fusion Research Center and Science & Technology on Plasma Physics Laboratory, China Academy of Engineering Physics, Mianyang 621999, China
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    DOI: 10.3788/COL202422.013201 Cite this Article Set citation alerts
    Fukang Yin, Tie-Jun Wang, Yaoxiang Liu, Juan Long, Yingxia Wei, Bin Zhu, Kainan Zhou, Yuxin Leng, "Pulse repetition rate effect on the plasma inside femtosecond laser filament in air," Chin. Opt. Lett. 22, 013201 (2024) Copy Citation Text show less

    Abstract

    The characteristics of plasmas play an important role in femtosecond laser filament-based applications. Spectroscopic analysis is used to experimentally investigate the plasma density and its temperature of the air filament under different pulse repetition rates. In our experiments, the measured average plasma density of the filament is 1.54×1017cm-3 and the temperature of the plasma is about 5100 K under 100 Hz pulse repetition rate. The plasma density decreases to 1.43×1017cm-3 and the temperature increases to 6230 K as the pulse repetition rate increases to 1000 Hz. The experimental observation agrees with the numerical simulation by solving the nonlinear Schrödinger equations with repetition rate related “low density hole” correction.
    Ne=Δλ2ω×1016cm3,

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    Ez=i12k0ΔEik22Et2+iω0cn2EβK2IK1Eσ2(1+iω0τ)ρE+ik0ΔnE,

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    ρt=βKKω0(1ρρair)IK.

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    τ=τ0/ρindex,σ=σ0×ρindex(1+ω02τ02)ρindex2+ω02τ02,βK=β0K×ρindex,n2=n2,0×ρindex,k=k0×ρindex,

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    ΔTpeak(z)=Uρplasma(r=0,z)cvρat,

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    ρair(z)=ρatΔρairpeak(z)exp(r2R(z)2),

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    Δρairpeak(z)=ρatΔTpeak(z)R02(z)(ΔTpeak(z)+Ta)R2(z),

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    Δn(z)=Δnm(z)exp(r2R2(z)),

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    Δnm(z)=(n01)ΔTpeak(z)TaR02(z)R2(z),

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    E=E0exp(r2/w02)exp(t2/τp2)exp(ik0r2/2f).

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    NeNcr=1.6×1012T(ΔE)3,

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    ln(IkiλkigkAki)=EkkBT+C,

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    Fukang Yin, Tie-Jun Wang, Yaoxiang Liu, Juan Long, Yingxia Wei, Bin Zhu, Kainan Zhou, Yuxin Leng, "Pulse repetition rate effect on the plasma inside femtosecond laser filament in air," Chin. Opt. Lett. 22, 013201 (2024)
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