Electromagnetic curves and Berry phase construction of a polarized light wave along an optical fiber which is a singular curve on S2

Abstract

In this study, we investigate the cases of a linearly polarized light wave along an optical fiber which is accepted as a singular curve on S2 and the rotation of the polarization planes. Also, we construct a Berry-phase model of polarized light wave along an optical fiber with singular points. In addition, we introduce two different Rytov curves according to the polarization vector E being perpendicular to the defined planes along an optical fiber with singular points. Finally, we define the Lorentz force equations for all cases and we examine the electromagnetic trajectories created by the electric field of the light wave traveling in the singular optical fiber.