Trapped modes in a waveguide with a thick obstacle

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dc.creatorHawkins, H.
dc.creatorParnovski, L.
dc.date2001-11-08
dc.date.accessioned2026-07-07T04:44:28Z
dc.date.available2026-07-07T04:44:28Z
dc.descriptionWe consider two-dimensional waveguide with a rectangular obstacle symmetric about the axis of the waveguie. We study the behaviour of the Neumann eigenvalues located below the first threshold when the sides of the obstacle approach the edges of the waveguide. We show that only one of the eigenvalues converge to the first threshold, and the rate of convergence depends on whether the length of the obstacle divided by the width of the waveguide is integer or not.
dc.description17 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0111103
dc.identifierhttp://arxiv.org/abs/math/0111103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62603
dc.subjectAnalysis of PDEs
dc.subject35P15
dc.titleTrapped modes in a waveguide with a thick obstacle
dc.typetext

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