The Double Jones Birefringence in Magneto-electric Medium

In this paper, the Maxwell's equations for the tensorial magneto-electric (ME) medium have been solved which in fact is the extension of anisotropic nonmagnetic medium. All of the dielectric permittivity, magnetic permeability and the ME tensors are considered. The transverse polarization is shown explicitly and the propagation of electromagnetic wave in the ME medium is found to have the Double Jones Birefringence. We also find the condition of D'yakonov surface wave for magneto-isotropic but with ME anisotropic medium. Especially when the incident angle is $\frac{\pi}{4}$, it may be measurable in principle.