This manuscript studies the interaction between Gravitational Plane Waves and Electromagnetic Plane Waves by means of an analogous electromagnetic model of gravity, where the electromagnetic properties codify the variations in the metric tensor produced by the Gravitational Plane Wave. A space-time modulation of the electromagnetic properties of the medium is generated and analyzed via the Finite-Difference Time-Domain method. We find that, when a Gravitational Plane Wave interacts with a monochromatic Electromagnetic Plane Wave, it is triggered a multiple scattering of photons by gravitons resulting in the apparition of an infinite number of electromagnetic sidebands, equally separated between themselves by the Gravitational Plane Wave frequency. We numerically prove in this paper a totally novel effect that might be used in the detection of gravitational waves.