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.
Borrelli, W., On the continuum limit for a model of binary waveguide arrays, <<NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS>>, 2022; 29 (3): N/A-N/A. [doi:10.1007/s00030-022-00760-9] [http://hdl.handle.net/10807/200162]
On the continuum limit for a model of binary waveguide arrays
Borrelli, W.
2022
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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