Polarization State Controlled Multistability of a Nonlinear Magneto-optic Cavity

We investigate the theory of a nonlinear magneto-optic Fabry-P\'erot interferometer, filled with an isotropic dielectric that possesses linear and nonlinear artificial gyrotropy. We show that the nonreciprocity leads to specific multistable transmission patterns and, in particular, to a polarization controlled multistability at constant input intensity. We also show that the reciprocity of the cavity can be restored effectively for certain parameter regimes.