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An inhomogeneous anisotropic medium with specific structure geometry canapply the tunable spin-dependent geometrical phase to the light passing throughthe medium, and thus can be used to steer the spin-dependent splitting (SDS) oflight. In this paper, we exemplify this inference by the q plate, aninhomogeneous anisotropic medium. It is demonstrated that when a linearlypolarized light beam normally passes through a q plate, k-space SDS firstoccurs, and then the real-space SDS in the far-field focal plane of aconverging lens is distinguishable. Interestingly, the SDS, described by thenormalized Stokes parameter S3 shows a multilobe and rotatable splittingpattern with rotational symmetry. Further, by tailoring the structure geometryof the q plate and/or the incident polarization angle of light, the lobe numberand the rotation angle both are tunable. Our result suggests that the q platecan serve as a potential device for manipulating the photon spin states andenable applications such as in nano-optics and quantum information.

Steering far-field spin-dependent splitting of light by inhomogeneous anisotropic media