Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D Riemannian manifold with Bishop equations

T Körpinar, RC Demırkol - Optik, 2020 - Elsevier
We review the geometric evolution of a linearly polarized light wave coupling into an optical
fiber and the rotation of the polarization plane in a three-dimensional (3D) Riemannian …

Frictional magnetic curves in 3D Riemannian manifolds

T Korpinar, RC Demirkol - … Journal of Geometric Methods in Modern …, 2018 - World Scientific
In this study, we investigate the special type of magnetic trajectories associated with a
magnetic field ℬ defined on a 3D Riemannian manifold. First, we consider a moving charged …

Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D semi-Riemannian manifold

T Korpinar, RC Demirkol - Journal of Modern Optics, 2019 - Taylor & Francis
We review the geometric evolution of a linearly polarized light wave coupling into an optical
fiber and the rotation of the polarization plane in the three dimensional semi-Riemannian …

A new type electromagnetic curves in optical fiber and rotation of the polarization plane using fractional calculus

B Yilmaz - Optik, 2021 - Elsevier
In the present paper, the geometric properties of the linearly polarized light wave are
researched along an optical fiber using the conformable fractional derivative and integral in …

Gravitational magnetic curves on 3D Riemannian manifolds

T Körpınar, RC Demirkol - … Journal of Geometric Methods in Modern …, 2018 - World Scientific
In this paper, we study a special type of magnetic trajectories associated with a magnetic
field ℬ defined on a 3D Riemannian manifold. First, we assume that we have a moving …

Optical magnetic helicity with binormal electromagnetic vortex filament flows in MHD

T Körpınar, RC Demirkol, Z Körpınar - Optik, 2021 - Elsevier
In this paper, we construct new efficient insight into the understanding of the configurations
of the binormal electromagneto-vortex formation and their consequences in the energy …

[HTML][HTML] Effect of fractional analysis on magnetic curves

A Has, B Yilmaz - Revista mexicana de física, 2022 - scielo.org.mx
In this present paper, the effect of fractional analysis on magnetic curves is researched. A
magnetic field is defined by the property that its divergence is zero in three dimensional …

Obtaining fractional electromagnetic curves in optical fiber using fractional alternative moving frame

B Yilmaz, A Has - Optik, 2022 - Elsevier
In this study, the effects of fractional derivative and integral on the geometric properties of
linearly polarized light waves are investigated. For this, first of all, fractional alternative …

Directional magnetic and electric vortex lines and their geometries

T Körpinar, RC Demirkol, V Asil - Indian Journal of Physics, 2021 - Springer
In this study, we introduce directional Fermi–Walker transportation along with the vortex
lines of nonvanishing vector fields in the ordinary three-dimensional space. Moreover, we …

Electromagnetic curves and rotation of the polarization plane through alternative moving frame

H Ceyhan, Z Özdemir, İ Gök, FN Ekmekci - The European Physical …, 2020 - Springer
This study investigates the behavior of a linearly polarized light wave in optical fiber and the
rotation of the polarization plane through an alternative moving frame\(\{{\mathbf …