Trapped modes for off-centre structures in guides
Christopher Linton
Maureen McIver
Philip McIver
Keith Ratcliffe
J. Zhang
2134/688
https://repository.lboro.ac.uk/articles/preprint/Trapped_modes_for_off-centre_structures_in_guides/9384557
The 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.
2006-01-17 10:37:20
untagged
Mathematical Sciences not elsewhere classified