Calculus of Variations and Geometric Measure Theory
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W. Borrelli

On the continuum limit for a model of binary waveguide arrays

created by borrelli on 04 May 2021

[BibTeX]

Submitted Paper

Inserted: 4 may 2021

Year: 2021

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.

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