The Electromagnetic Curves and Rotation of the Polarization Plane With Respect to the Flc Frame in an Optical Fiber

Abstract The trajectory of magnetic flows that generate a magnetic field is called a magnetic curve. In this paper, A new class of electromagnetic curves is defined through a new frame defined along polynomial curves, called the Flc frame. Moreover, Given that an optical fiber is a one-dimensional object placed on a three-dimensional Riemannian manifold, the evolution of a linearly polarized light wave is related to the geometric phase. Therefore, a new geometric phase model is obtained using the Flc frame.