Analogue supersymmetric polarized electromagnetic plasma waves induced by a dispersive gravitational wave background

A dispersive gravitational wave background couples to electromagnetic waves in plasmas,changing its propagation properties.When the electromagnetic plasma wave are in resonance with the gravitational wave background (the phase of the two waves are equal) the dispersive gravitational waves induce a supersymmetric behavior on the transverse polarization of light. This analogue supersymmetry is in the space-time phase coordinate direction. Thus, each electromagnetic wave polarization component acts as the superpartner of the other, whereas the phase derivative of the gravitational wave is the superpotential of this analogue supersymmetry.