New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02

In this paper, a new evolution of polarized light ray by optical fiber in the pseudohyperbolic space ℍ02 is examined. Firstly, the characterization of the parallel transportation law associated with the geometric pseudohyperbolic phase of the light ray is given. Later, a principle nature of electric...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2023-05, Vol.46 (7), p.8263-8274
Main Authors: Inc, Mustafa, Körpınar, Talat, Körpınar, Zeliha, Baleanu, Dumitru, Cem Demirkol, Rıdvan
Format: Article
Language:English
Subjects:
Electromagnetic fields
geometric pseudohyperbolic phase
optical fiber
Optical fibers
Polarized light
Schrodinger equation
Solitary waves
transformation equations
traveling wave hypothesis
Traveling waves
Wave propagation
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Summary:In this paper, a new evolution of polarized light ray by optical fiber in the pseudohyperbolic space ℍ02 is examined. Firstly, the characterization of the parallel transportation law associated with the geometric pseudohyperbolic phase of the light ray is given. Later, a principle nature of electric and magnetic field along with the light ray in the pseudohyperbolic space ℍ02 is defined by the geometric invariants. Finally, optical solutions of nonlinear pseudohyperbolic Schrödinger's equations governing the propagation of electromagnetic fields are successfully derived by using the traveling wave hypothesis approach.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7738