Discrete vortex solitons in the anisotropic Lieb lattice

Jorge Castillo-Barake; Juvenal Bassa; Cristian Mejía-Cortés

doi:10.1117/12.2529590

5 September 2019 Discrete vortex solitons in the anisotropic Lieb lattice

Jorge Castillo-Barake, Juvenal Bassa, Cristian Mejía-Cortés

Proceedings Volume 11081, Active Photonic Platforms XI; 110812Q (2019) https://doi.org/10.1117/12.2529590
Event: SPIE Nanoscience + Engineering, 2019, San Diego, California, United States

Abstract

In this work we address the issue of nonlinear modes in a two dimensional waveguide array, spatially distributed in the Lieb lattice geometry, modeled by the discrete nonlinear Schrodinger equation. In particular, we analyzed the existence and stability of vortex-type solutions in this system and we found two main kind of vortex modes, namely the on-site and off-site, ranging from S = 1 to S = 3. We study their stability in function of coupling anisotropy effect, finding different behaviours according to the topological charge of solutions.

Citation Download Citation

Jorge Castillo-Barake, Juvenal Bassa, and Cristian Mejía-Cortés "Discrete vortex solitons in the anisotropic Lieb lattice", Proc. SPIE 11081, Active Photonic Platforms XI, 110812Q (5 September 2019); https://doi.org/10.1117/12.2529590

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