Optical Magnus Effect as a Consequence of Berry Phase Anisotropy

The first consistent analysis of asymptotic approximation of geometrical optics (GO) of electromagnetic waves in smoothly inhomogeneous isotropic media was made in a work by Rytov [1]. There he studied the GO in first approximation; also he gave a well-known law of rotation of polarization plane for electromagnetic wave. Geometrical attributes of this law were described further in detail by Vladimirskiy [2]. In the 1980s, Berry and his followers showed that geometrical phases are a general fundamental attribute of dynamic systems, and the Rytov–Vladimirskiy polarization plane rotation is an example of Berry phase (see [3] and references therein).