The role of discrete group theory in the study of the Nonlinear Schrödinger Equation: from discrete vortices to nonlinear singular optics

Miguel Angel García March - Universitat Politécnica de Valencia

Data e ora
martedì 28 ottobre 2008 alle ore 16.15 - Inizio alle 16:30, Caffè e biscotti alle 16:15.

Ca' Vignal 3 - Piramide, Piano 0, Sala Verde

Giandomenico Orlandi

Referente esterno

Data pubblicazione
18 settembre 2008



 We will present our experience on applying discrete group theory arguments to
study the nonlinear Schrödinger equation. First, we will present the angular
pseudomomentum theory, i.e., a set of results that allows to classify and
predict some properties of the stationary solutions with discrete rotational
symmetry of  such equation. Next, we will use these arguments to study the
dynamical evolution of symmetrical solutions. Finally, we will use all this
knowledge in the study of the dynamical behaviour of phase singularities
of an optical field, a topic that is commonly enclosed in a separated branch of
optics called "nonlinear singular optics".

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