We have investigated the interaction of an electromagnetic (EM) wave with a standing gravitational wave (GW)in an external static magnetic field, and obtained concrete forms of first-order perturbative EM energy fluxes. Unlikethe propagating properties of the "left-circular" and "right-circular" waves of the tangential perturbative energy fluxesaround the symmetricalaxis, the radial perturbative energy fluxes are expressed as the outgoing and imploding wavesto the symmetrical axis.We also examine several physical examples and show that this effect can produce very smallbut nonvanishing radial perturbative photon fluxes. This may be useful for EM detection of the high-frequency relicGWs of the GHz region in quintessential inflationary models.