A recursive-doubling Dirichlet-to-Neumann-map method for periodic waveguides

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)3649-3656
Journal / PublicationJournal of Lightwave Technology
Issue number11
Publication statusPublished - Nov 2007


For optical-waveguiding structures composed of uniform segments that are invariant in the longitudinal direction, the Dirichlet-to-Neumann (DtN)-map method is highly competitive. Instead of computing the eigenmodes, it calculates the DtN operators of the uniform segments using an efficient Chebyshev collocation scheme. In this paper, a new formulation of the DtN-map method is developed for periodic piecewise uniform waveguiding structures. The method involves a recursive-doubling process so that the overall required computation time is proportional to log2 N, where N is the number of periods. We illustrate our method by analyzing the scattering of surface plasmon polaritons due to Bragg gratings on metal surfaces and thin metal films. © 2007 IEEE.

Research Area(s)

  • Bidirectional beam-propagation method (BiBPM), Dirichlet-to-Neumann (DtN) map, Optical waveguides, Periodic waveguides, Surface plasmon polaritons (SPPs), Waveguide Bragg gratings