Hybrid model of ion acceleration in laser plasma of flat heterogeneous target

We have constructed a two-phase analytical model of acceleration of ions in a two-layer laser target. The first phase of acceleration is isothermic and covers the action time of the laser pulse, while the second phase is adiabatic and occurs after the end of the laser pulse. The maximal ion energy is obtained as a function of parameters of the laser pulse and target. We compare analytical results with PIC calculations and show that the theory is adequate.