According to electrodynamic 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 a 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.
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