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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 ...
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 ...
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 ...