Abstract
We have calculated numerically the temporal evolution of the nonlinear reflection coefficient R of an overdense plasma layer by solving the system of partial differential equations consisting of the wave equation for the slowly varying amplitude of the electric field and the hydrodynamic equations for the ion motion, including a ponderomotive force term. In dependence of the (normalized) amplitude of the incident wave uA two regimes exist: Below a critical amplitude uA* ≲ 1 the reflection coefficient is approximately independent on the amplitude uA and temporally constant. In the opposite case uA>uA*, on the other hand, ‖R‖2 decreases slowly with time down to a minimum value and after that it increases rapidly to the initial value. We think, that our results are important to interpret the anomalous reflectivity observed in some experiments when strong electromagnetic waves are incident on an overdense plasma.