An analytical study of the relativistic interaction of a linearly-polarized laser-field of a> frequency with highly overdense plasma is presented. Very intense high harmonics are generated produced by relativistic mirrors effects due to the relativistic electron plasma oscillation. Also, in agreement with ID Particle-In-Cell Simulations (PICS), the model self-consistently explains the transition between the sheath inverse bremsstrahlung (SIB) absorption regime and the J x B heating (responsible for the 2a> electron bunches), as well as the mean electron energy.
Ultra intense (> 1018 WcrrT 2 ) short laser pulse interaction with highly overdense plasmas offers very promising applications such as coherent and incoherent x-ray production, high harmonic generation, ion acceleration, and high-energy electron production [1,2]. When a relativistic intense laser pulse irradiates a solid density target it creating relativistic oscillating plasma mirror (ROM) by making the electrons oscillate around their rest positions. At such relativistic laser intensities, the dominant absorption mechanisms are collisionless [3]. However, even in this "simple" case of a laser pulse at normal incidence interacting with a steep plasma gradient, a plethora of absorption mechanisms exists in the literature: the ponderomotive J x B heating [4], different sort of skin effects [5], vacuum heating and many other mechanisms. Due to the complex mixing of all these processes, the basic physics is poorly understood. More recently, PIC codes have proven to be very powerful tools to study the laser/plasma interaction [6,7]. Their main limitation is the persistent difficulty to distinguish between cause and consequence. Moreover, some essential physical features about the electron distribution function (EDF) are not well captured, unlike a Vlasov description. To understand the basic physics of laser/overdense-plasma interaction precisely, it is necessary to revisit the electron dynamics on a thin layer of solid target surface, where electrons are accelerated. For relativistic laser intensities, and plasma density and temperature such that the initial relativistic electron pressure is negligible compared to the radiation pressure, electrons are pushed into the solid forming a very steep density profile. The relevant forces involved in the macroscopic motion of electrons are the ponderomotive and the longitudinal electric field caused by the strong electric charge separation effect. Hence a cold fluid approximation is expected to give us a reasonable physical description. This cold fluid approximation lies on the fact that the laser energy absorption (aj) is small at normal incidence, and consequently the electron kinetic pressure ~(electron-energy-flux)/c ~ar roughly, is also small. The ID study we present combines the results of a cold fluid approximation, PICS [8], and the analysis of the EDF in a Vlasov description. The self-consistent description of the plasma surface oscillations allows us to determine the relativistic mirror equations (Eqs. (1),...