Optical solitons in nematic liquid crystals: Model with saturation effects
- Borgna, Juan Pablo
- Panayotaros, Panayotis
- Rial, Diego Fernando
- Sanchez Fernandez de la Vega, Constanza Mariel
DOIAbstract
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 a...
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