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• W3099763995 abstract "We study a Helmholtz-type spectral problem in a two-dimensional medium consisting of a fully periodic background structure and a perturbation in form of a line defect. The defect is aligned along one of the coordinate axes, periodic in that direction (with the same periodicity as the background), and bounded in the other direction. This setting models a so-called soft-wall waveguide problem. We show that there are no bound states, i.e., the spectrum of the operator under study contains no point spectrum." @default.
• W3099763995 created "2020-11-23" @default.
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• W3099763995 date "2014-03-01" @default.
• W3099763995 modified "2023-10-18" @default.
• W3099763995 title "Absence of bound states for waveguides in two-dimensional periodic structures" @default.
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• W3099763995 doi "https://doi.org/10.1063/1.4868480" @default.
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