Abstract

We investigate the resonant interaction of a weak gravitational wavewith a microwave beam in a coupling electromagnetic system, whichconsists of a Gaussian beam with double polarized transverseelectric modes, a static magnetic field and fractal membranes. Wefind that under the synchroresonance condition, a high-frequencygravitational wave in amplitude 10−30 and frequency 3 GHz mayproduce the perturbative photon flux of 2.15×10 s−1 in asurface of 10−2 m2. The perturbative photon flux can bepumped out from the background photon fluxes and one may obtain theamplified signal photon flux of 2.15×104 s−1 bycascade fractal membranes. It is worth studying this effect for thedetection of high-frequency relic gravitational waves in quintessentialinflationary models and the high-frequency gravitational waves expectedby possible laboratory schemes.

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