IntroductionLaser-plasma-based ion acceleration displays unique properties such as a high directionality and laminar flow1, spatial confinement on the micrometer order (\(\sim \mu\)m) and temporal compactness (\(\lesssim\) ps), containing up to \(10^{13}\) particles in a pulse width. These properties hold promise for a wide range of applications, including diagnostic tools in proton radiography experiments2,3, compact particle accelerators4,5,6, creation of high-energy-density (HED) matter7, pro...