linton_bound.pdf (221.42 kB)
Bound states in coupled guides. II. Three dimensions.
preprint
posted on 2005-08-01, 11:19 authored by Christopher LintonChristopher Linton, Keith RatcliffeWe compute bound-state energies in two three-dimensional coupled waveguides,
each obtained from the two-dimensional configuration considered in part I by ro-
tating the geometry about a different axis. The first geometry consists of two
concentric circular cylindrical waveguides coupled by a finite length gap along the
axis of the inner cylinder and the second is a pair of planar layers coupled laterally
by a circular hole. We have also extended the theory for this latter case to include
the possibility of multiple circular windows. Both problems are formulated using a
mode-matching technique, and in the cylindrical guide case the same residue calcu-
lus theory as used in I is employed to find the bound-state energies. For the coupled
planar layers we proceed differently, computing the zeros of a matrix derived from
the matching analysis directly.
History
School
- Science
Department
- Mathematical Sciences
Pages
226739 bytesPublication date
2003Notes
This pre-print has been submitted, and accepted, to the journal, Journal of Mathematical Physics [© American Institute of Physics]. The definitive version: LINTON, C.M. and RADCLIFFE, K., 2004. Bound states in coupled guides. II. Three dimensions. Journal of Mathematical Physics, 45(4), pp.1380-1393, is available at: http://jmp.aip.org/.Language
- en