Soliton propagation of electromagnetic field vectors of polarized light ray traveling along with coiled optical fiber on the unit 2-sphere 𝕊2
Título del documento: Soliton propagation of electromagnetic field vectors of polarized light ray traveling along with coiled optical fiber on the unit 2-sphere 𝕊2
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000438972
ISSN: 0035-001X
Autors: 1
1
1
Institucions: 1Mus Alparslan University, Department of Mathematics, Mus. Turquía
Any:
Període: Nov-Dic
Volum: 65
Número: 6
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés In this paper, we relate the evolution equation of the electric field and magnetic field vectors of the polarized light ray traveling along with a coiled optical fiber on the unit 2-sphere 𝕊2 into the nonlinear Schrodinger's equation, by proposing new kinds of binormal motions and new kinds of Hasimoto functions, in addition to commonly known formula of the binormal motion and Hasimoto function. All these operations have been conducted by using the orthonormal frame of spherical equations, that is defined along with the coiled optical fiber lying on the unit 2-sphere 𝕊 2. We also propose perturbed solutions of the nonlinear Schrodinger's evolution equation that governs the propagation of solitons through the electric field (E) and magnetic field (M) vectors. Finally, we provide some numerical simulations to supplement the analytical outcomes
Disciplines Física y astronomía
Paraules clau: Optica,
Curvas de espacio en movimiento,
Fibra óptica,
Fase geométrica,
Ecuaciones de evolución,
Hipótesis de la onda viajera
Keyword: Optics,
Moving space curves,
Optical fiber,
Geometric phase,
Evolution equations,
Traveling wave hypothesis
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