The evolution of the electric field with Frenet frame in Lorentzian Lie groups

Gürbüz, Nevin

doi:10.1016/j.ijleo.2021.167989

Cited by 16 publications

(3 citation statements)

References 27 publications

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“…Özdemir investigated the polarization state of the polarized light on the conditions that electric makes a constant angle with a tangent, normal and binormal vectors [20,24]. Then, the evolutions of the electric field and electromagnetic curves are characterized by many authors [26,27,28,25,29,30,31,32,33].…”

Section: Introductionmentioning

confidence: 99%

Propagation of Polarized Light and Electromagnetic Curves in the Optical Fiber in Walker 3-Manifolds

Özdemir,

Ndiaye

2023

FU Math Inform

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In the present paper, we define the three cases of the geometric phase equations associated with a monochromatic linearly polarized light wave traveling along an optical fiber in three dimensional Walker manifold (M, g^ε_f). Walker manifolds have many applications in mathematics and theoretical physics. We are working in the context of a pseudo-Riemannian manifold (i.e. a manifold equipped with a non-degenerate arbitrary signature metric tensor). That is, we generalize the motion of the light wave in the optical fiber and the associated electromagnetic curves that describe the motion of a charged particle under the influence of an electromagnetic field over a Walker space defined as a pseudo-Riemannian manifold with a light-like distribution, parallel to the Levi-Civita junction. These manifolds (especially Lorentzian) are important in physics because of their applications in general relativity. Then, we obtain the Rytov curves related to the cases of geometric phase models. Moreover, we give some examples and visualize the evolution of the electric field along the optical fiber in (M, g^ε_f ) via MAPLE program.

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Section: Introductionmentioning

confidence: 99%

Propagation of Polarized Light and Electromagnetic Curves in the Optical Fiber in Walker 3-Manifolds

Özdemir,

Ndiaye

2023

FU Math Inform

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“…Also this topic have numerous applications in modern optic. In the last years, many mathematicians have been studying the geometric phase and the evolution of the electric field vector [4]- [8], [11]- [14] etc. 114 N. E. Gürbüz and D. W. Yoon In this paper, we discuss the type-2 and the type-3 PAFs in Minkowski 3-space.…”

Section: Introductionmentioning

confidence: 99%

“…114 N. E. Gürbüz and D. W. Yoon In this paper, we discuss the type-2 and the type-3 PAFs in Minkowski 3-space. In [9] the first author studied the type-1 PAF in Minkowski space and obtained the evolution of the electric field with respect to the type-1 PAF. Therefore, we want to get two other classes of the evolutions of the electric vector field according to the type-2 and the type-3 PAFs in Minkowski 3-space as natural extensions of Özen and Tosun's formulation 2 Construction of the type-2 and 3 PAFs…”

Section: Introductionmentioning

confidence: 99%

The evolution of the electric field along optical fiber with respect to the type-2 and 3 PAFs in Minkowski 3-space

G\"{u}rb\"{u}z,

Yoon

2023

Tamkang J. Math.

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In this paper, we introduce the type-2 and the type-3 Positional Adapted Frame(PAF) of spacelike curve and timelike curve inMinkowski 3-space. From these PAFs, we study the evolutions of the electric field vectors of the type-2 and type-3 PAFs.As a result, we also investigate the Fermi-Walker parallel and the Lorentz force equation of the electric field vectors for the type-2 and type-3 PAFs in Minkowski 3-space.

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New optical quantum effects of ferromagnetic electroosmotic phase

Körpınar,

Körpınar

2023

Opt Quant Electron

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The evolution of the electric field with Frenet frame in Lorentzian Lie groups

Cited by 16 publications

References 27 publications

Propagation of Polarized Light and Electromagnetic Curves in the Optical Fiber in Walker 3-Manifolds

Propagation of Polarized Light and Electromagnetic Curves in the Optical Fiber in Walker 3-Manifolds

The evolution of the electric field along optical fiber with respect to the type-2 and 3 PAFs in Minkowski 3-space

New optical quantum effects of ferromagnetic electroosmotic phase

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