The distribution of scalar potential normalized by , where and
The maximum scalar potential normalized by in the first bubble for ion at rest and ion motion as function of , where and
The maximum scalar potential normalized by in the first bubble as function of , for the cases of ion at rest (blue solid curve) and in motion (red dashed curve), where and
The maximum ion density and ion kinetic energy in the first bubble as functions of the background plasma density for and .
The maximum ion energy density (a) and total ion kinetic energy (b) in the leading and second bubble as functions of the background electron density, where and .
The FWHM of the first bubble and the second bubble as functions of the background electron density for and
The 2D distribution of ion energy density normalized by for (a) and (b) , where and .
The 2D simulation results for the distribution of ion density (arb.units) at the moment when laser pulse just leaves the right boundary of plasma layer and the bubble is broken, the parameters are the same as Fig. 7(b).
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