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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