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Abstract:

We study a 2D system that couples a Schrödinger evolution equation to a nonlinear elliptic equation and models the propagation of a laser beam in a nematic liquid crystal. The nonlinear elliptic equation describes the response of the director angle to the laser beam electric field. We obtain results on well-posedness and solitary wave solutions of this system, generalizing results for a well-studied simpler system with a linear elliptic equation for the director field. The analysis of the nonlinear elliptic problem shows the existence of an isolated global branch of solutions with director angles that remain bounded for arbitrary electric field. The results on the director equation are also used to show local and global existence, as well as decay for initial conditions with sufficiently small L 2-norm. For sufficiently large L 2-norm we show the existence of energy minimizing optical solitons with radial, positive and monotone profiles. © 2018 IOP Publishing Ltd & London Mathematical Society.

Registro:

Documento: Artículo
Título:Optical solitons in nematic liquid crystals: Model with saturation effects
Autor:Borgna, J.P.; Panayotaros, P.; Rial, D.; De La Vega, C.S.F.
Filiación:CONICET - CEDEMA, Universidad Nacional de San Martin, Campus Miguelete, Buenos Aires, B1650IHA, Argentina
Departamento de Matemáticas y Mecánica, IIMAS, Universidad Nacional Autónoma de México, Apdo. Postal 20-126, Cd. México, 01000, Mexico
IMAS-CONICET, Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, Argentina
Palabras clave:nematic liquid crystals; nonlinear Schrodinger equations; optical solitons
Año:2018
Volumen:31
Número:4
Página de inicio:1535
Página de fin:1559
DOI: http://dx.doi.org/10.1088/1361-6544/aaa2e2
Título revista:Nonlinearity
Título revista abreviado:Nonlinearity
ISSN:09517715
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09517715_v31_n4_p1535_Borgna

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Citas:

---------- APA ----------
Borgna, J.P., Panayotaros, P., Rial, D. & De La Vega, C.S.F. (2018) . Optical solitons in nematic liquid crystals: Model with saturation effects. Nonlinearity, 31(4), 1535-1559.
http://dx.doi.org/10.1088/1361-6544/aaa2e2
---------- CHICAGO ----------
Borgna, J.P., Panayotaros, P., Rial, D., De La Vega, C.S.F. "Optical solitons in nematic liquid crystals: Model with saturation effects" . Nonlinearity 31, no. 4 (2018) : 1535-1559.
http://dx.doi.org/10.1088/1361-6544/aaa2e2
---------- MLA ----------
Borgna, J.P., Panayotaros, P., Rial, D., De La Vega, C.S.F. "Optical solitons in nematic liquid crystals: Model with saturation effects" . Nonlinearity, vol. 31, no. 4, 2018, pp. 1535-1559.
http://dx.doi.org/10.1088/1361-6544/aaa2e2
---------- VANCOUVER ----------
Borgna, J.P., Panayotaros, P., Rial, D., De La Vega, C.S.F. Optical solitons in nematic liquid crystals: Model with saturation effects. Nonlinearity. 2018;31(4):1535-1559.
http://dx.doi.org/10.1088/1361-6544/aaa2e2