What is the definition of a spin-wave polarization?

In some literature, it seems that there is only the right circular polarized spin-wave in a ferromagnet. And there are left and right circular polarized spin-waves in an antiferromagnet in a square lattice, and they are degenerate. This polarization concept seems like a classical subject, but can we calculate something about it by the standard spin-wave theory (like the Holstein-Primakoff boson)?