Gravitational wave generation by interaction of high power lasers with matter. Part I: Shock wave model

We analyze theoretical models of gravitational wave generation in the interaction of high power lasers with matter in linear approximation of gravitational theory. We derive the analytical formulas and estimates for the metric perturbations and the radiated power of the generated gravitational waves. Furthermore we investigate the characteristics of polarization and the behavior of test particles in the presence of gravitational wave which will be important for the detection.