Soliton propagation of electromagnetic field vectors of polarized light ray traveling along with coiled optical fiber on the unit 2-sphere S2

Abstract

In this paper, we relate the evolution equation of the electric field and magnetic field vectors of the polarized light ray traveling along with a coiled optical fiber on the unit 2-sphere S2 into the nonlinear Schrodingers equation, by proposing new kinds of binormal motions and new kinds of Hasimoto functions, in addition to commonly known formula of the binormal motion and Hasimoto function. All these operations have been conducted by using the orthonormal frame of spherical equations, that is defined along with the coiled optical fiber lying on the unit 2-sphere S2. We also propose perturbed solutions of the nonlinear Schrodingers evolution equation that governs the propagation of solitons through the electric field (E) and magnetic field (M) vectors: Finally, we provide some numerical simulations to supplement the analytical outcomes. © 2019 Sociedad Mexicana de Fisica.