The Talbot effect in a non-linear dynamics.

Series: 
School of Mathematics Colloquium
Tuesday, November 18, 2014 - 11:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
BCAM-Basque Center for Applied Mathematics (Scientific Director) and University of the Basque Country UPV/EHU
,  
In the first part of the talk I shall present a linear model based on the Schrodinger equation with constant coefficient and periodic boundary conditions that explains the so-called Talbot effect in optics. In the second part I will make a connection of this Talbot effect with turbulence through the Schrodinger map which is a geometric non-linear partial differential equation.