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The maximal signal and peak of high-frequency relic gravitational waves (GW's), recently predicted by quintessential inflationary models, may be firmly localized in the gigahertz region; the energy density of the relic gravitons in critical units (i. e. , h₀^2₆ₖ) is of the order of 10^-6, roughly eight orders of magnitude larger than in ordinary inflationary models. This is just the best frequency band for the electromagnetic (e. m. ) response to high-frequency GW's in smaller e. m. detecting systems. We consider the e. m. response of a Gaussian beam passing through a static magnetic field to a high-frequency relic GW. It is found that under the synchroresonance condition the first-order perturbative e. m. power fluxes will contain a ``left circular wave'' and a ``right circular wave'' around the symmetrical axis of the Gaussian beam, but the perturbative effects produced by the states of + polarization and polarization of the relic GW have different properties, and the perturbations of their behavior are obviously different from those of the background e. m. fields in the local regions. For a high-frequency relic GW with the typical parameters ₆=10^10Hz, h=10^-30 in quintessential inflationary models, the corresponding perturbative photon flux passing through a region of 10^-2m^2 would be expected to be 10^3s^-1. This is the largest perturbative photon flux we recently analyzed and estimated using the typical laboratory parameters. In addition, we also discuss the geometrical phase shift generated by high-frequency relic GW's in the Gaussian beam and estimate possible physical effects.
Li et al. (Mon,) studied this question.