@article{oai:nagoya.repo.nii.ac.jp:02002056, author = {De Nittis, G. and Moscolari, M. and Richard, Serge and Tiedra de Aldecoa, R.}, issue = {08}, journal = {Reviews in Mathematical Physics}, month = {Sep}, note = {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.}, title = {Spectral and scattering theory of one-dimensional coupled photonic crystals}, volume = {33}, year = {2021} }