The Branch Structure of Embedded Trapped Modes in Two-Dimensional Waveguides
نویسندگان
چکیده
منابع مشابه
The branch structure of embedded trapped modes in two-dimensional waveguides
In this paper we investigate the existence of branches of embedded trapped modes in the vicinity of symmetric obstacles which are placed on the centreline of a twodimensional acoustic waveguide. Modes are sought which are antisymmetric about the centreline of the channel and which have frequencies that are above the first cut-off for antisymmetric wave propagation down the guide. In previous wo...
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In this paper we investigate the existence of embedded trapped modes for symmetric obstacles which are placed on the centreline of a two-dimensional acoustic waveguide. Modes are sought which are antisymmetric about the centreline of the channel but which have frequencies that are above the first cut-off for antisymmetric wave propagation down the guide. In the terminology of spectral theory th...
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The 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 ge...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mechanics and Applied Mathematics
سال: 2002
ISSN: 0033-5614,1464-3855
DOI: 10.1093/qjmam/55.2.313