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Bound states in coupled guides. II. Three dimensions.

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posted on 01.08.2005, 11:19 by Christopher LintonChristopher Linton, Keith Ratcliffe
We 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.



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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:



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