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Periodic structures in waveguides

journal contribution
posted on 26.02.2013, 16:17 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.

History

School

  • Science

Department

  • Mathematical Sciences

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.

Publisher

© Royal Society Publishing

Version

NA (Not Applicable or Unknown)

Publication date

2002

Notes

This article is closed access.

ISSN

1364-5021

Language

en