AUTHOR=Aceves Alejandro , Copeland Austin TITLE=Spatio-temporal dynamics in the mixed fractional nonlinear Schrödinger equation JOURNAL=Frontiers in Photonics VOLUME=Volume 3 - 2022 YEAR=2022 URL=https://www.frontiersin.org/journals/photonics/articles/10.3389/fphot.2022.977343 DOI=10.3389/fphot.2022.977343 ISSN=2673-6853 ABSTRACT=

The effective engineering of linear and nonlinear optical properties in photonic media has led to new advances in the theory and applications of spatio-temporal light–matter interactions. In some instances, research has been motivated by phenomena in a quantum mechanical framework; two notable examples being Anderson localization and parity–time symmetry. Herein, we present theoretical and numerical results on light propagation in the presence of fractional diffraction and classical dispersion, highlighting the role mixed functionality has on stability, spatio-temporal localization, and possible collapse events.