• Chinese Optics Letters
  • Vol. 14, Issue 4, 040202 (2016)
Dong Liu, Chuansong Chen, Baoyuan Man*, Yanna Sun, and Feifei Li
Author Affiliations
  • School of Physics and Electronics, Shandong Normal University, Jinan 250014, China
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    DOI: 10.3788/COL201614.040202 Cite this Article Set citation alerts
    Dong Liu, Chuansong Chen, Baoyuan Man, Yanna Sun, Feifei Li. Theoretical and experimental investigations on the threshold of a laser-induced breakdown of air[J]. Chinese Optics Letters, 2016, 14(4): 040202 Copy Citation Text show less

    Abstract

    The threshold of a laser-induced breakdown of air is determined experimentally and theoretically. We find that the ionization of air has two steps: the first step is a multi-photon ionization process, which provides enough “seed electrons” to initiate the next step, and the second one is predominated by cascade ionization, which continues to produce free electrons geometrically until the critical free-electron density for breakdown is reached. So a two-step model based on the Morgan ionization model is established to describe the breakdown process. It is found that the time node dividing the two steps is about 9.8 ns in atmospheric air, and the threshold derived from the two-step model proposed here is more consistent with the experimental results than traditional ionization model.
    dnedt=neN(377qω2(vmN)2I(t)+NAk3/2Ik(t),(1)

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    dnedt=NAN2kN23/2IkN2(t)×0.8+NAO2kO23/2IkO2(t)×0.2,(2)

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    dnedt=neN[377qω2(vmN2N)2]I(t)×0.8+neN[377qω2(vmO2N)2]I(t)×0.2.(3)

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    I(t)=IMAXexp[(4ln2)(tτ)2],(4)

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    dnedt=NAN2kN23/2IMAXkN2exp[(4kN2ln2)(tτ)2]×0.8+NAO2kO23/2IMAXkO2exp[(4kO2ln2)(tτ)2]×0.2.(5)

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    ne0=NAN2kN23/2IMAXkN2t0exp[(4kN2ln2)(tτ)2]×0.8dt+NAO2kO23/2IMAXkO2t0exp[(4kO2ln2)(tτ)2]×0.2dt,(6)

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    ne0=NAO2kO23/2IMAXkO2t0exp[(4kO2ln2)(tτ)2]×0.2dt,(7)

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    dnedt=neαIMAXexp[(4ln2)(tτ)2].(8)

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    ne-final=ne0exp{αIMAXt0+exp[(4ln2)(tτ)2]dt}.(9)

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    Dong Liu, Chuansong Chen, Baoyuan Man, Yanna Sun, Feifei Li. Theoretical and experimental investigations on the threshold of a laser-induced breakdown of air[J]. Chinese Optics Letters, 2016, 14(4): 040202
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