Perturbative photon fluxes generated by high-frequency gravitational waves and their physical effects

We consider the electromagnetic (EM) perturbative effects produced by high-frequency gravitational waves (HFGWs) in the GHz band in a special EM resonance system, which consists of fractal membranes, a Gaussian beam (GB) passing through a static magnetic field. Under the synchro-resonance condition, coherence modulation of the HFGWs to the preexisting transverse components of the GB is predicted to produce the transverse perturbative photon flux (PPF), which has three novel and important properties. (1) The PPF has a maximum at a longitudinal symmetrical surface of the GB where the transverse background photon flux (BPF) vanishes; (2) the resonant effect will be high sensitive to the propagating directions of the HFGWs; (3) the PPF reflected or transmitted by the fractal membrane exhibits a very small decay to be compared with a very large decay of the much stronger BPF. Such properties might provide a new way to distinguish and display the perturbative effects produced by the HFGWs. We also discuss the high-frequency asymptotic behavior of the relic GWs in the microwave band and the positive definite issues of their energy-momentum pseudo-tensor.