Abstract

Under the propagating limitation-conditions and based on the pulsed-laser-induced plasma shock wave theory,1the propagating rules in the global free space (including close areas and mid-far areas) of pulsed-laser-induced shock waves are established for the first time. Compared with the previous work by Bian et al.,2our theoretical model can directly lead to the relationship of the initial Mach number M0of plasma shock waves and the whole energy E released into plasma shock waves from a pulsed laser without any approximations or any unnecessary experimental parameters. Here, M0is also related to the pulse duration τ0and the sound velocity υ0in the atmosphere; the variation of attenuation index τ, as a function of laser parameters (especial τ0), is also obtained, and our theoretical predictions of mid-far propagating rules of plasma shock waves are in good agreement with experimental results. In addition, it should be noted that Sedov–Taylor solutions to the ideal shock wave in a point explosion are only the approximations of the propagating rules in the mid-far area of pulsed-laser plasma shock waves that we obtained.

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