Events

Alejandro Aceves

Southern Methodist University
Colloquia

When

Date: Wednesday, March 2, 2022
Time: 4:00 pm - 5:00 pm
Location: Virtual through Zoom
Professor Alejandro Aceves is an applied mathematician. He has a PhD in Applied Mathematics from the University of Arizona. Currently, he is a chair of the Department of Mathematics at the Southern Methodist University. His research lies in the area of nonlinear PDEs, where he has worked primarily in the modeling of nonlinear optics, including pulse propagation in optical fibers, laser filamenation and light localization in photonic arrays.

Classical diffraction of light propagating in dielectric media including air is described by the Laplacian operator. This is also true temporal dispersion of optical pulses modeled by a second time derivative. Novel photonic systems present an opportunity to engineer dispersion and diffraction which together with nonlinear effects provides new spatio-temporal effects. We will present two cases of current interest: fractional diffraction and quartic dispersion.