ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been constructed with Myller configuration. Also, the rotation of the polarization plane is determined by the Fermi–Walker parallel transportation law. Then, this is examined with the Rytov parallel transportation along with the direction of the state of the polarization plane in an optical fiber with Myller configuration. Moreover, the electromagnetic curves obtained by the electric field along the polarization plane of a light wave traveling in an optical fiber are given. Furthermore, we examine the Lorentz force equations and scrutinize the electromagnetic trajectories constructed by the electric field of the light wave traveling in the optical fiber with Myller configuration. Then, we give a brief introduction to the geometric phase model for a curve with a Frenet‐type frame with Myller configuration in a 3D Lie group. Additionally, we give some physical interpretations based on the direction of the electromagnetic curves thanks to the unique and natural structure of Myller configuration in both Euclidean 3‐space and 3D Lie group.
İşbilir et al. (Sun,) studied this question.