Graviton test field in sandwich wave background

The scattering of test fields by sandwich waves has been studied extensively. It has been found that the energy of the scattered waves is amplified for a variety of test fields. In this paper, Scattering of gravitons by sandwich waves are calculated by solving gravitational perturbations in the sandwich wave background. Dependence of their energy amplification with respect to the sandwich wave parameters and the incident wave parameters are examined . The results show that in some cases, the energy of the outgoing graviton wave is amplified as well.