Nonlinear Partial Differential Equations

Date: October 30, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Alejandro Aceves, Southern Methodist University

Title: Nonlinear PDE's Seminar

Abstract:

Title: Mathematical modeling of light filamentation

Abstract:
Since the first observation of a nonlinear process in light matter interaction in 1961, better lasers and designs of photonic structures have opened new ways to explore nonlinear phenomena with many important technological applications. In this talk we will focus our attention to spatio-temporal dynamics and coherent modes described by nonlinear Schrӧdinger-like equations. While the presentation will center on models developed to explain experiments of light filament propagation in air, we will also discuss recent optical experiments in quadratic media, multi-mode fibers and fiber arrays; most in need of a fresh theoretical formulation.