Trapped modes for periodic structures in waveguides

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dc.creatorEdward, Julian
dc.date2002-07-03
dc.date.accessioned2026-07-07T04:29:18Z
dc.date.available2026-07-07T04:29:18Z
dc.descriptionThe Laplace operator is considered for waveguides perturbed by a periodic structure consisting of N congruent obstacles spanning the waveguide. Neumann boundary conditions are imposed on the periodic structure, and either Neumann or Dirichlet conditions on the guide walls. It is proven that there are at least N (resp. N-1) trapped modes in the Neumann case (resp. Dirichlet case) under fairly general hypotheses, including the special case where the obstacles consist of line segments placed parallel to the waveguide walls. This work should be viewed as an extension of "Periodic structures on waveguides" by Linton and McIvor.
dc.description11 pages, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/0207007
dc.identifierhttp://arxiv.org/abs/math-ph/0207007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57100
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject76Q05; 35J05
dc.titleTrapped modes for periodic structures in waveguides
dc.typetext

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