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

Abstract

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 | ω g ± ω e | and ω g , respectively. In the case of ω e >> ω g , the PEMFs are manifested as the EM wave beams with frequency ω e and a standing EM wave withωg. The former and the background EM wave beam (BEMWB) have the same propagating direction, while in the case of ω g >> ω e , all PEMFs are expressed as the standing EM waves with frequency ω g . The resonant response occurs in two cases of ω e = 1/2 ω g and ω e = ω g 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 be produced. This effect might provide a new way for the EM detection of the gravitational waves (GWs). Moreover, the possible schemes of displaying perturbed effects induced by the standing GW with h =10 -33 −10 -35 and λ g =0.1 m at the level of the single photon avalanche and in a typicla laboratory dimension are reviewed.