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Toplam kayıt 7, listelenen: 1-7
Electromagnetic curves and Rytov curves based on the hyperbolic split quaternion algebra
(Elsevier Gmbh, 2022)
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 quaternion algebra. The motion of the ...
Elliptical kinematics of the accretive surface growth
(Tubitak Scientific & Technological Research Council Turkey, 2022)
The stresses within the soft tissue are not constant for some shell surfaces. They vary with position along the mantle edge. In this paper, we show that elliptical geometry is more convenient to describe this type of ...
A Geometric Interpretation of Polarized Light and Electromagnetic Curves Along an Optical Fiber with Surface Kinematics
(Springer Basel Ag, 2022)
In this study, we research the behavior of a linearly polarized light wave coupling into an optical fiber on a surface in E-3 via geometric phase equations. The geometric phase has applications in many areas from ...
Variational equations and Killing magnetic trajectories on timelike surfaces in semi-Riemannian manifolds
(Hacettepe Univ, Fac Sci, 2022)
In this article, Darboux frame variations for timelike surfaces in semi-Riemannian manifolds are discussed. In addition, the Killing equations are examined by using the Darboux frame curvature variations. Then, magnetic ...
Kinematical modeling of circular and elliptical polarization of the polarized light via screw transformation
(Iop Publishing Ltd, 2022)
In this paper, it is shown that the motion of a polarized light wave in an optical fiber has a special meaning that relates the scalar and vector part of the dual quaternion to the kinematics concept of a screw. We describe ...
A kinematic model of the Rytov's law in the optical fiber via split quaternions: application to electromagnetic theory
(Springer Heidelberg, 2022)
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 between the polarization vector ...
Finslerian Viewpoint to the Rectifying, Normal and Osculating Curves
(Int Electronic Journal Geometry, 2022)
The theory of Finsler metric was introduced by Paul Finsler, in 1918. The author defines this metric using the Minkowski norm instead of the inner product. Therefore, this geometry is a more general metric and includes the ...