Calculus of Variations and Geometric Measure Theory

W. Borrelli

On the continuum limit for a model of binary waveguide arrays

created by borrelli on 04 May 2021
modified on 09 Apr 2022

[BibTeX]

Published Paper

Inserted: 4 may 2021
Last Updated: 9 apr 2022

Journal: NoDEA Nonlinear Differential Equations Appl.
Year: 2022
Doi: https://doi.org/10.1007/s00030-022-00760-9

ArXiv: 2105.00252 PDF

Abstract:

In this paper we prove the convergence of solutions to discrete models for binary waveguide arrays toward those of their formal continuum limit, for which we also show the existence of localized standing waves. This work rigorously justifies formal arguments and numerical simulations present in the Physics literature.