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Revista mexicana de física E
Print version ISSN 1870-3542
Rev. mex. fís. E vol.60 n.1 México Jan. 2014
Educación
Ondas solitarias no lineales: una introducción a los solitones ópticos espaciales
S. Lopez-Aguayo, M. Esparza-Echevarría, G. Lem-Carrillo y J. C. Gutiérrez-Vega
Photonics and Mathematical Optics Group, Tecnológico de Monterrey, Monterrey, México 64849, e-mail: servando@itesm.mx
Received 24 February 2014
accepted 12 May 2014
Resumen
Se expone la teoría básica de los solitones ópticos espaciales, enfocándose en los solitones fundamentales brillantes. Estos conceptos son ilustrados mediante dos programas desarrollados en MATLAB. El programa Petvia_Mex, calcula el perfil de los solitones fundamentales que corresponden a la ecuación no lineal general de Schrödinger, mientras que el programa SSF_Mex, simula la propagación paraxial de un haz óptico en un medio no lineal. Utilizando ambos programas, se discuten diversos casos de importancia en el área de los solitones ópticos espaciales, con el fin de estimular el interés en el lector tanto en el área de los solitones, como en el área de la física no lineal en general.
Palabras clave: Solitones; ondas no lineales; ondas solitarias; óptica no lineal.
Abstract
The basic theory of spatial optical solitons is reviewed, focusing on fundamental bright solitons. The Physics of solitons is illustrated with two programs developed in MATLAB. One of these programs PetviaJMex, calculates the profile of fundamental solitons corresponding to the generalized nonlinear Schrödinger equation, while the other program SSF_Mex, simulates the paraxial propagation of optic beams in non-linear media. Using both codes, various phenomena of spatial optical solitons are discussed to stimulate the interest of the reader into soliton theory and Nonlinear Physics in general.
Keywords: Solitons; nonlinear waves; solitary waves; nonlinear optics.
PACS: 42.65.Tg; 42.81.Dp; 42.65.Sf
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