The promising properties of surface plasmon-polaritons localized at the complex structure interfaces, graphene, two-dimensional materials and metasurfaces have been recently revealed. This work investigates the fundamental polarization states of surface electromagnetic waves on the resonant anisotropic metasurface. We show that the appropriate engineering of a metasurface leads to the existence of 3 different polarization states of localized surface waves: (i) purely TE and TM, (ii) hybrid TE-TM, and (iii) degenerate TE-TM. These results are derived analytically using the effective surface electric admittance tensor approach and are compared with the experimental measurements in the microwave frequency range. The surface waves polarization control opens new opportunities for the integrated optical circuits, flat polarizers and antennas, enhanced sensing of chiral molecules and optical isolators.
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