We analyze theoretical models of gravitational wave generation in the interaction of high power lasers with matter in linear approximation of gravitational theory up to the quadrupole moment in moment expansion. The main purpose of our investigation is to analyze the three different models of high frequency gravitational waves (HFGW) in the interaction of high power laser pulse with a medium. These models were suggested in [1, 2], from which we have chosen to investigate the shock wave model, shock wave model with ablation [3] and the piston model [4]. The light sail model together with piston model was investigated in [8].
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