Yazar "Ceyhan, Hazal" için listeleme
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ANHOLONOMIC CO-ORDINATES AND ELECTROMAGNETIC CURVES WITH ALTERNATIVE MOVING FRAME VIA MAXWELL EVOLUTION
Ceyhan, Hazal; Yanik, Ebru; Ozdemir, Zehra (Ankara Univ, Fac Sci, 2023)In this study, we examine the Berry's phase equation for E-M curves in the C - direction and W - direction throughout an optic fiber via alternative moving frame in three dimensional space. Moreover, electromag-netic curve's ... -
Electromagnetism and Maxwellian Evolution Equations in terms of Darboux Frame in Minkowski Space with Abnormalities
Yanik, Ebru; Ceyhan, Hazal; Ozdemir, Zehra; Gok, Ismail (Iop Publishing Ltd, 2024)Electromagnetic wave propagation is often thought of as the transport of polarised light and this behaviour is well defined by Maxwell's equations when propagating in an optical fiber. In this paper, we examine the q - ... -
A Geometric Interpretation of Polarized Light and Electromagnetic Curves Along an Optical Fiber with Surface Kinematics
Ceyhan, Hazal; Ozdemir, Zehra; Gok, Ismail; Ekmekci, F. Nejat (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 ... -
Multiplicative elliptic quaternions and generating geometric elliptic rotation matrices
Ceyhan, Hazal; Ozdemir, Zehra (World Scientific Publ Co Pte Ltd, 2024)Ellipse motion involving an angle about a vector is referred to as elliptical rotation. The purpose of this work is to define a new class of elliptic quaternions, elliptic inner product, and elliptic vector product, which ... -
Multiplicative generalized tube surfaces with multiplicative quaternions algebra
Ceyhan, Hazal; Ozdemir, Zehra; Gok, Ismail (Wiley, 2024)Along with other types of calculus, multiplicative calculus brings an entirely new perspective. Geometry now has a new field as a result of this new understanding. In this study, multiplicative differential geometry was ... -
Multiplicative hyperbolic split quaternions and generating geometric hyperbolical rotation matrices
Özdemir, Zehra; Ceyhan, Hazal (Elsevier Inc., 2024)With the help of split quaternions, rotational motion in Lorentz space can be studied. This rotation corresponds to the rotations on the hyperboloids. The aim of this study is to define and examine hyperbolic rotations in ... -
Multiplicative hyperbolic split quaternions and generating rotation matrices
Ozdemir, Zehra; Ceyhan, Hazal (Elsevier Science Inc, 2024)With the help of split quaternions, rotational motion in Lorentz space can be studied. This rotation corresponds to the rotations on the hyperboloids. The aim of this study is to define and examine hyperbolic rotations in ... -
Propagation of the polarized light along an optical fiber via Rodrigues formula and Lorentzian screw motion
Ozdemir, Zehra; Percin, Sirin Gonca; Ceyhan, Hazal (Iop Publishing Ltd, 2025)In this study, we investigate the propagation of polarized light along an optical fiber with the help of screw motion and Clifford's algebra of hyperbolic split dual quaternion in R sigma 1,sigma 2,sigma 31,2 . The importance ... -
Utilizing the Caputo fractional derivative for the flux tube close to the neutral points
Durmaz, Hasan; Ceyhan, Hazal; Ozdemir, Zehra; Ndiaye, Ameth (Wiley, 2025)This study examines how fractional derivatives affect the theory of curves and related surfaces, an application area that is expanding daily. There has been limited research on the geometric interpretation of fractional ...
