“…the ion dynamics has not attracted as much attention as other wakefield features, and has been studied mainly in the context of the wakefield lifetime [14][15][16][17][18] or the overall energy balance in the system [19]. However, the ion motion can result in formation of exotic, slowly changing plasma density profiles, which may be useful for diagnostics [19,20], driver guiding [1], beam stabilization [21,22], wakefield enhancement [23,24], radiation generation [25], or making field structure favorable for positron acceleration [26][27][28][29][30]. Ion density valleys or peaks can appear both in strongly nonlinear [31,32] and almost linear [14-18, 20, 33, 34] regimes and for all kinds of drivers.…”