Title: Pure Moving Electromagnetic Media Consisting of Magnetochiral Metasurfaces

Abstract: Numerical studies demonstrate that magneto-chiral (MCh) metasurfaces consisting of double Z-type gammadions with perpendicularly magnetized substrate exhibit bianisotropy for microwaves. Effective polarizability tensors of the metasurfaces, extracted from the reflection and transmission coefficients, have components corresponding to non-reciprocal moving-type bianisotropy as well as reciprocal chiral-type bianisotropy and non-reciprocal magneto-optical effects. The combination of the metasurfaces and contraposition MCh metasurfaces cancels the chiral-type bianisotropy and magneto-optical effect, leading to pure moving electromagnetic media. Achieved perfect transmission with phase difference of {\pi} realizes an ideal gyrator for arbitrary spatial and polarization modes.