Lasing on Nonlinear Localized Waves in Curved Topology
Chun-Yan Lin1*, Ray-Kuang Lee1,2
1Institute of Photonics Technologies, National Tsing Hua University, Hsinchu, 300, Taiwan
2Physics Division, National Center for theoretical Science, Hsinchu 300, Taiwan
* presenting author:Chun-Yan Lin,
The use of topological constraints open many new perspectives in photonics and in fundamental studies of nonlinear waves. By implementing surface structures in vertical cavity surface emitting lasers as manifolds for curved space, we experimentally study the impacts of geometrical constraints on nonlinear wave localization. We observe localized waves pinned to the maximal curvature in an
elliptical-ring, and con rm the reduction in the localization length of waves by measuring near and far field patterns, as well as the corresponding dispersion relation. Theoretically, analyses based
on a dissipative model with a parabola curve give good agreement remarkably to experimental measurement on the transition from delocalized to localized waves. The introduction of curved topology allows to control and design lasing modes in the nonlinear regime.

Keywords: curvature