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Pré-Publication, Document De Travail Année : 2020

Spectral and scattering theory of one-dimensional coupled photonic crystals

Résumé

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, coupled by a junction. Using analyticity techniques and commutator methods in a two-Hilbert spaces setting, we determine the nature of the spectrum and prove the existence and completeness of the wave operators of the system.
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Dates et versions

hal-02458814 , version 1 (28-01-2020)

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  • HAL Id : hal-02458814 , version 1

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G de Nittis, M Moscolari, Serge Richard, R Tiedra de Aldecoa. Spectral and scattering theory of one-dimensional coupled photonic crystals. 2020. ⟨hal-02458814⟩
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