Electrogravitational Resonance of a Gaussian Beam to a High-Frequency Relic Gravitational Wave

We consider the resonant response of a Gaussian beam passing through a static magnetic field to a high-frequency relic gravitational wave (GW). It is found that under the synchroresonance condition, the first-order perturbative electromagnetic energy fluxes will contain a “left circularly wave” and a “right circularly wave”around the symmetrical axis of the Gaussian beam, but the perturbative effects produced by the + and x polarization of the GW have different physical behaviour. For the high-frequency relic GW with v_g = 10¹⁰Hz, h = 10^-30, recently expected by the quintessential inflationary models, the corresponding perturbative photon flux passing through the region 10^-2m² would be expected to be 10⁴s^-1, This is the largest perturbative photon flux we recently analysed and estimated using the typical laboratory parameters.