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Title: Periodic structures in waveguides
Authors: Linton, C.M.
McIver, M.
Keywords: Trapped modes
Spectral theory
Issue Date: 2002
Publisher: © Royal Society Publishing
Citation: LINTON, C.M. and MCIVER, M., 2002. Periodic structures in waveguides. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458 (no.2028), pp.3003-3021.
Abstract: We consider structures of period 2 spanning a two-dimensional waveguide of width 2N. Scattering problems, where Neumann conditions are imposed on the boundary of the structure and either Neumann or Dirichlet conditions are applied on the guide walls, are decomposed into N +1 independent problems. The existence of at least N trapped modes is proved for the Neumann guide case, and for the Dirichlet case we prove that at least N - 1 such modes exist, this number increasing to N if a certain geometrical condition is satisfied.
Description: This article is closed access.
Version: Closed access
DOI: 10.1098/rspa.2002.1016
URI: https://dspace.lboro.ac.uk/2134/11794
Publisher Link: http://dx.doi.org/10.1098/rspa.2002.1016
ISSN: 1364-5021
Appears in Collections:Closed Access (Maths)

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