[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 …

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 …

A new calculus for the treatment of Rytov's law in the optical fiber

Z Özdemir - Optik, 2020 - Elsevier
In the present paper, we investigate the geometric properties of the linearly polarized light
wave (LPLW) and the homothetic motion of the polarization plane traveling in optical fiber in …

A fractionally magnetized flow of force fields and Fermi–Walker conformable derivative on the unit sphere

T Körpinar, RC Demirkol, Z Körpınar - Waves in Random and …, 2022 - Taylor & Francis
In this study, we aim to investigate the differential geometric aspect of the motion of the
charged particle, when it is exposed to particular force fields on the unit sphere S 2, by …

Fractional approach to evolution of the magnetic field lines near the magnetic null points

H Durmaz, Z Özdemir, Y Sekerci - Physica Scripta, 2024 - iopscience.iop.org
In this work, the magnetic reconnection model near null points in 3D space will be
investigated using fractional calculations in the 3D magnetohydrodynamic framework. For …

Electromagnetic curves and Rytov curves based on the hyperbolic split quaternion algebra

Z Özdemir, FN Ekmekci - Optik, 2022 - Elsevier
This paper aims to investigate the hyperbolically the motion of the polarization plane
traveling along the linearly polarized light wave in the optical fiber via the hyperbolic split …

[PDF][PDF] Magnetic pseudo null and magnetic null curves in Minkowski 3-space

A Kazan, HB Karadag - International Mathematical Forum, 2017 - m-hikari.com
In this paper, firstly we define the notions of T-magnetic, N-magnetic and B-magnetic pseudo
null curves in Minkowski 3-space, obtain the magnetic vector field V when the pseudo null …

On Slant Magnetic Curves in S-manifolds

Ş Güvenç, C Özgür - Journal of Nonlinear Mathematical Physics, 2019 - Springer
We consider slant normal magnetic curves in (2 n+ 1)-dimensional S-manifolds. We prove
that γ is a slant normal magnetic curve in an S-manifold if and only if it belongs to a list of …

Kinematic modeling of Rytov's law and electromagnetic curves in the optical fiber based on elliptical quaternion algebra

Z Özdemir, G Cansu, Y Yaylı - Optik, 2021 - Elsevier
In this paper, we aim a kinematic method to investigate the behavior of polarized light in an
optical fiber. Geometric phase equations are obtained using elliptic quaternions. The …

A kinematic model of the Rytov's law in the optical fiber via split quaternions: application to electromagnetic theory

Z Özdemir - The European Physical Journal Plus, 2022 - Springer
In this paper, we analyze the homothetic motion of the polarization plane traveling along the
linearly polarized light wave ((LPL)-wave) in the optical fiber on the condition that the angle …