Spin-orbit coupling modification of photons to ray equation in inhomogeneous medium |
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| Authors: | ZHONG Fang JI Pei-yong |
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| Institution: | Department of Physics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | Based on the principle of general relativity, geometrization of interaction, the interaction of the inhomogeneous isotropic
medium to light can be equated to a non-Euclidean geometry field just like the situation of gravity, i.e., light travels in the null geodesic in the non-Euclidean curved space-time, which is equivalent to the Fermat principle
for the inhomogeneous media. In this paper, the propagation of light in an inhomogeneous media is studied by means of the
effective metric theory. The modification to the classical ray equation of photons is derived from the geodesic equation of
photon by considering the spin effect of photons, which is induced via the spin-orbit coupling of photons, and the corresponding Hamiltonian of photon is proposed. Based on the spin-orbit coupling
of photon, a light splitting phenomenon emerges in the inhomogeneous media, which is the spin hall effect of photon. |
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| Keywords: | spin-orbit coupling spin hall effect ray equation |
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