Optical solitons in nematic liquid crystals: Model with saturation effects

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...

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Autores principales:	Borgna, J.P., Panayotaros, P., Rial, D., De La Vega, C.S.F.
Formato:	JOUR
Materias:	nematic liquid crystals nonlinear Schrodinger equations optical solitons
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_09517715_v31_n4_p1535_Borgna
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_09517715_v31_n4_p1535_Borgna
record_format	dspace
spelling	todo:paper_09517715_v31_n4_p1535_Borgna2023-10-03T15:50:43Z Optical solitons in nematic liquid crystals: Model with saturation effects Borgna, J.P. Panayotaros, P. Rial, D. De La Vega, C.S.F. nematic liquid crystals nonlinear Schrodinger equations optical solitons 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09517715_v31_n4_p1535_Borgna
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	nematic liquid crystals nonlinear Schrodinger equations optical solitons
spellingShingle	nematic liquid crystals nonlinear Schrodinger equations optical solitons Borgna, J.P. Panayotaros, P. Rial, D. De La Vega, C.S.F. Optical solitons in nematic liquid crystals: Model with saturation effects
topic_facet	nematic liquid crystals nonlinear Schrodinger equations optical solitons
description	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.
format	JOUR
author	Borgna, J.P. Panayotaros, P. Rial, D. De La Vega, C.S.F.
author_facet	Borgna, J.P. Panayotaros, P. Rial, D. De La Vega, C.S.F.
author_sort	Borgna, J.P.
title	Optical solitons in nematic liquid crystals: Model with saturation effects
title_short	Optical solitons in nematic liquid crystals: Model with saturation effects
title_full	Optical solitons in nematic liquid crystals: Model with saturation effects
title_fullStr	Optical solitons in nematic liquid crystals: Model with saturation effects
title_full_unstemmed	Optical solitons in nematic liquid crystals: Model with saturation effects
title_sort	optical solitons in nematic liquid crystals: model with saturation effects
url	http://hdl.handle.net/20.500.12110/paper_09517715_v31_n4_p1535_Borgna
work_keys_str_mv	AT borgnajp opticalsolitonsinnematicliquidcrystalsmodelwithsaturationeffects AT panayotarosp opticalsolitonsinnematicliquidcrystalsmodelwithsaturationeffects AT riald opticalsolitonsinnematicliquidcrystalsmodelwithsaturationeffects AT delavegacsf opticalsolitonsinnematicliquidcrystalsmodelwithsaturationeffects
_version_	1807316147712819200

Optical solitons in nematic liquid crystals: Model with saturation effects

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