A non-newtonian approach to geometric phase through optic fiber via multiplicative quaternions

Authors

  • H. Ceyhan Ankara University
  • Z. Özdemir Amasya University
  • S. Kaya Uşak University
  • İ. Gürgil Uşak University

DOI:

https://doi.org/10.31349/RevMexFis.70.061301

Keywords:

Multiplicative calculus, Non-Newtonian calculus, Magnetic flows, Electromagnetic theory, Ordinary differential equations

Abstract

In this paper, we researched magnetic and electromagnetic curves in multiplicative Euclidean 3-space via multiplicative quaternion algebra. Firstly, we examined the geometric phase representation of the polarized light wave in the optic fiber by multiplicative Frenet frame. Using the quaternionic approaches, we were able to derive the magnetic curve equations and theorems. Then, three particular instances have been illustrated with examples of electromagnetic curves and magnetic field equations. Lastly, we provided an interpretation of the findings. With the help of the results, we were able to present an alternative viewpoint on the construction of trajectories (such as circular or spiral-like ones) that do not exist uniquely in the realm of physics.

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Published

2024-11-01

How to Cite

[1]
H. Ceyhan, Z. Özdemir, S. Kaya Nurkan, and İbrahim Gürgil, “A non-newtonian approach to geometric phase through optic fiber via multiplicative quaternions”, Rev. Mex. Fís., vol. 70, no. 6 Nov-Dec, pp. 061301 1–, Nov. 2024.

Issue

Vol. 70 No. 6 Nov-Dec (2024): Revista Mexicana de Física

Section

13 Optics

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Copyright (c) 2024 H. Ceyhan, Z. Özdemir, S. Kaya, İ. Gürgil

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