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Periodic structures in waveguides
journal contributionposted on 2013-02-26, 16:17 authored by Christopher LintonChristopher Linton, Maureen McIver
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.
- Mathematical Sciences
CitationLINTON, 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.
Publisher© Royal Society Publishing
- NA (Not Applicable or Unknown)
NotesThis article is closed access.