Browsing by Author "De Nittis, G."

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    Spectral and scattering theory of one-dimensional coupled photonic crystals
    (WORLD SCIENTIFIC PUBL CO PTE LTD, 2021) De Nittis, G.; Moscolari, M.; Richard, S.; Tiedra de Aldecoa, R.
    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.