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Toplam kayıt 5, listelenen: 1-5
Kinematic modeling of Rytov's law and electromagnetic curves in the optical fiber based on elliptical quaternion algebra
(Elsevier Gmbh, 2021)
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 behavior of polarized light is studied for ...
Accretive Darboux growth in Lorentz-Minkowski spacetime
(Wiley, 2021)
It is known that the geometric methods are used in most fields in natural sciences. Kinematics on curves and surfaces as one of these methods is an essential tool for investigating the growth of some biological objects. ...
Null Cartan curve variations in 3D semi-Riemannian manifold
(Hacettepe Univ, Fac Sci, 2021)
The aim of this study is to investigate the variations of the Bishop frame curvatures for null Cartan curves in semi-Riemannian manifolds. The Killing equations in terms of the variations of the Bishop curvatures along the ...
Kinematic equations of Lorentzian magnetic flux tubes based on split quaternion algebra
(Springer Heidelberg, 2021)
The aim of the paper is to present a new geometric viewpoint for magnetic flux tubes (MFTs) in the three-dimensional Lorentzian space through split quaternion algebra. For this, we prove that an MFT can be completely ...
A geometrical and physical interpretation of quaternionic generalized magnetic flux tubes
(Pergamon-Elsevier Science Ltd, 2021)
In the present paper, we give a generalization for the magnetic flux tubes. Firstly, we define the flux tube via quaternions. We obtain the magnetic flux canal surfaces and flux tubes by quaternion product of a unit ...