On the continuum limit for a model of binary waveguide arrays
Analysis of PDEs
2022-03-18 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2105.00252,
title = {On the continuum limit for a model of binary waveguide arrays},
author = {William Borrelli},
journal= {arXiv preprint arXiv:2105.00252},
year = {2022}
}
Comments
The proof of Lemma 11 has been corrected, and the statement of Theorems 2 and 5 modified. Final version to appear on NoDEA