Transporte y localización en sistemas ópticos discretos

Abstract

En esta tesis se investigan de manera te orica, num erica y experimental, diversos sistemas opticos discretos utilizando el modelo Tight-Binding. En particular, se analizan las principales propiedades de la red fot onica de Lieb y la cinta tipo Grafeno, que poseen banda plana, y cuyos estados localizados se observan mediante un montaje basado en moduladores espaciales de luz. Por otro lado, se genera experimentalmente la condici on inicial optima para excitar dipolos, cuyas propiedades se estudian compar andolas con las del modo fundamental. Posteriormente, al mezclar redes con banda plana y dipolos surge una nueva fenomenolog a, donde se muestra la observaci on de anillos dipolares. Se analiza tambi en la cinta de Grafeno consider andola como un sistema no lineal, calculando sus soluciones y buscando movilidad. Finalmente, se discute de manera te orica el origen de los estados de banda plana y se presenta un m etodo para hallarlos.

In this thesis, several optical discrete systems are investigated theoretically, numerically and experimentally by means of the Tight-Binding model. In particular, the main features of Lieb photonic lattices and Graphene ribbons are analized, and the localized states belonging to their at bands are observed in a SLMs-based setup. On the other hand, the optimum initial condition to excite dipoles is generated experimentally, and the properties of these states are studied and compared to the ones of the fundamental modes. Next, by mixing at band lattices and dipoles, new phenomena arise, and the observation of a dipolar ring-like mode is demonstrated. The Graphene-like ribbon is studied as a nonlinear system as well, where its solutions are computed in the pursuit of mobility. Finally, the origin of at-band states is theoretically discussed and a procedure to nd them is presented.