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Optica Publishing Group
  • Journal of Lightwave Technology
  • Vol. 25,
  • Issue 11,
  • pp. 3649-3656
  • (2007)

A Recursive-Doubling Dirichlet-to-Neumann-Map Method for Periodic Waveguides

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Abstract

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 log<sub>2</sub> 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

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