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Trapped modes for off-centre structures in guides
preprint
posted on 2006-01-17, 10:37 authored by Christopher LintonChristopher Linton, Maureen McIver, Philip McIver, Keith Ratcliffe, J. ZhangThe existence of trapped modes near obstacles in two-dimensional waveguides
is well established when the centre-line of the guide is a line of symmetry for the
geometry. In this paper we examine cases where no such line of symmetry exists.
The boundary condition on the obstacle is of Neumann type and both Neumann and
Dirichlet conditions on the guide walls are treated. A variety of techniques (variational
methods, boundary integral equations, slender-body theory, modified residue
calculus theory) are used to investigate trapped mode phenomena in a number of
different frequency bands.
History
School
- Science
Department
- Mathematical Sciences
Pages
249837 bytesPublication date
2001Notes
This is a pre-print. The definitive version: LINTON, C.M., MCIVER, M., MCIVER, P., RATCLIFFE, K. and ZHANG, J., 2002. Trapped modes for off-centre structures in guides. Wave Motion,36(1), pp. 67-85.Language
- en