Spectral and scattering theory of one-dimensional coupled photonic crystals
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Date
2021
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Journal ISSN
Volume Title
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
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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Keywords
Spectral theory, scattering theory, Maxwell operators, commutator methods, WAVE-PROPAGATION, CLASSICAL WAVES, EQUATIONS