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arXiv · 1904.03791

Spectral and scattering theory of one-dimensional coupled photonic crystals

Giuseppe De Nittis·Massimo Moscolari·Serge Richard·Rafael Tiedra de Aldecoa
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Abstract

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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Giuseppe De Nittis, Massimo Moscolari, Serge Richard, Rafael Tiedra de Aldecoa. 2019-04-08. Spectral and scattering theory of one-dimensional coupled photonic crystals. https://arxiv.org/abs/1904.03791

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