“…17 This is a more efficient acceleration process for producing high energy monoenergetic protons, suitable for many applications requiring that the accelerated protons have good beam quality and a narrow energy spectrum. However, previous works demonstrated with two-dimensional (2D) particle-in-cell (PIC) simulations 16,18,[22][23][24] that the Rayleigh-Taylor instability (RTI) limits the acceleration achieved by RPA and rapidly broadens the proton beam's energy spectrum. For RPA of thin-foil targets of one species, the energy scaling study with PIC simulation 18 indicates that petawatt power laser is needed to obtain $200 MeV quasi-monoenergetic protons with energy spread within 20% of the peak flux energy, which may make the laser proton acceleration scheme less attractive for commercial practical applications, as it is difficult to build a petawatt laser, and the laser also produces strong radiation that is difficult to shield.…”