Maximal signal and peak of high-frequency relic gravitational waves (GW's), recently expected by quintessential inflationary models, may be firmly localized in the GHz region, the energy density of the relic gravitons in critical units (i.e., h2ΩGW) is of the order 10-6, roughly eight orders of magnitude larger than in ordinary inflationary models. This is just right best frequency band of the electromagnetic (EM) response to the high-frequency GW's in smaller EMdetecting systems. We consider the EMresponse 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 EM power fluxes will contain "left circular wave" and "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 on behavior are obviously different from that of the background EM fields in the local regions. For the high-frequency relic GW with the typical parameters vg=10 10Hz, h=10-30 in the quintessential inflationary models, the corresponding perturbative photon flux passing through the region 10-2m2 would be expected to be 10 3s-1. This is largest perturbative photon flux we recently analyzed and estimated using the typical laboratory parameters. In addition, we also discuss geometrical phase shift generated by the high-frequency relic GW in the Gaussian beam and estimate possible physical effects.

The electrodynamical response of a high-energy photon flux (strong electromagnetic wave) propagating in a static magnetic field to a standing gravitational wave (GW) is studied. The corresponding perturbation solutions and resonant conditions are given. It is found that, for the electromagnetic wave with a frequency wg and a standing GW with wg, the perturbed electromagnetic fields will contain three new components with frequencies uve6vgu and wg, respectively. The resonant response occurs in two cases of wg=1/2wg (halffrequency resonance) and wg=wg (synchroresonance) only. Then not only first-order axial perturbed power fluxes, which propagate along the same and opposite directions to the background electromagnetic wave, can be generated, but also the radial and tangential perturbed power fluxes can be produced. The latter are perpendicular to the propagating direction of the background electromagnetic wave. This effect might provide a new possibility for the electromagnetic detection of GWs. Moreover, the possible schemes of displaying perturbed effects induced by the high-frequency standing GW at the level of the single photon avalanche and in typical laboratory dimensions are reviewed.

ver, the perturbative effects produced by the states of + polarization and × polarization of the GW have a different physical behavior. For the HFGW of vg=3GHz, H=10-30 (which corresponds to the power flux density～10-6W•m-2) to vg=1.3THz, h=10-28 (which corresponds to the power flux density～10 3W•m-2) expected by the HFGW generators described at this conference, the corresponding perturbative photon fluxes passing through a surface region of 10-2m2 would be expected to be 10 3s-1-10 4s-1. They are the orders of magnitude of the perturbative photon flux we estimated using typical laboratory parameters that could lead to the development of sensitive HFGW receivers. Moreover, we will also discuss the relative background noise problems and the possibility of displaying the HFGW. A laboratory test bed for juxtaposed HFGW generators and our detecting scheme is explored and discussed.

We investigate the resonant interaction to the weak gravitational waves in a coupling electromagnetic system, which consists of a Gaussian beam with the double polarized transverse electric modes, a static magnetic field and the fractal membranes. We find that under the syncroresonance condition a high-frequency GW (HFGW) of h=10-30, vg=3GHz may produce the perturbative photon flux (PPF) of 2.15

According to electrodynamical equations in curved spacetime we consider the coupling of a linearized weak gravitational wave (GW) to a Gaussian beam passing through a static magnetic field. It is found that unlike the properties of the "left-circular" and "right-circular" waves of the tangential perturbative photon fluxes in the cylindrical polar coordinates, the resultant effect of the tangential and radial perturbations can produce the unique nonvanishing photon flux propagating along the direction of the electric field of the Gaussian beam. This result might provide a larger detecting space for the high-frequency GWs in GHz band. Moreover, we also discuss the relevant noise issues.