Resonant response of a strong electromagnetic wave beam to a gravitational wave in a static magnetic field

<正>Concrete forms of resonant response ( ER) for a strong electromagnetic ( EM) wave beam (photon flux) propagating in a static magnetic field to a standing gravitational wave (gravitons) are given, and the corresponding perturbation solutions and resonant conditions are obtained. It is found that perturbed EM fields (PEMFs) contain three new components with frequencies |ωg±ωe| and ωg, respectively. In the case of ωe>ωg, the PEMFs are manifested as the EM wave beams with frequency ωe and a standing EM wave with ωg. The former and the background EM wave beam (BE-MWB) have the same propagating direction, while in the case of ωg>ωe, all PEMFs are expressedas the standing EM waves with frequency ωg. The resonant response occurs in two cases of ωe = 1/2ωg and ωe = ωg only. Then not only the first order perturbed energy fluxes (PEFs) propagating in the same and opposite directions of the BEMWB can be generated, but also radial and tangential PEFs which are perpendicular to the above directions can