Effect of the geometrical phase shift on the spin and orbital angular momenta of light traveling in a coiled optical fiber with optical activity

The intrinsic spin and extrinsic orbital angular momenta (S and L) and their torque densities are derived and formulated using the plane waves for light propagating in coiled optically active fiber cores which have homogeneity and inhomogeneity of refractive index n. The effect of the geometrical phase shift χ on S, L, their densities (per unit volume) and their torque densities of the right and left circularly polarized plane waves split in such a fiber is analyzed using the locally inertial coordinate frame for a fiber core with homogeneity of n and the non-inertial coordinate frame for a fiber core with inhomogeneity of n.