Relativistic effects during Compton interaction of strong electromagnetic radiation and optically thin layer of cold plasma

The development of plasma oscillations when a strong electromagnetic radiation flux interacts with an optically thin layer of cold plasmas is analyzed. A hydrodynamic description of the dynamics of a cold two-component (singly-charged ions and electrons) plasma in a strong electromagnetic radiation field with induced Compton quantum scattering by electrons predominating is used in the analysis. Examples of such systems include objects in space, such as the plasma near pulsars and quasars. A one-dimensional case is examined, assuming an initial uniform electron and ion distribution throughout the entire space. A process of exponential growth of plasma oscillations is found analytically.