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math-ph2019
Discrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators
Song Ha Nguyen, Serge Richard, Rafael Tiedra de Aldecoa
We present a detailed study of the scattering system given by the Neumann Laplacian on the discrete half-space perturbed by a periodic potential at the boundary. We derive asymptot…
math-ph2019★ 1 cited
Spectral and scattering theory of one-dimensional coupled photonic crystals
Giuseppe De Nittis, Massimo Moscolari, Serge Richard +1
We study the spectral and scattering theory of light transmission in a system consisting of two asymptotically periodic waveguides, also known as one-dimensional photonic crystals,…