Abstract
A tensor finite-difference time-domain (FDTD) method for sloped interfaces is generalized to dispersive media and applied to the study of plasmonic periodic structures formed by silver nanorods. Conventional staircased FDTD exhibits poor convergence properties in this situation, as plasmonic fields are strongly localized right where staircasing errors occur, namely at the air-silver interface. Alternative methods that have been proposed for this problem include the use of a triangular mesh or effective permittivity models that lead to a fourth-order auxiliary differential equation (ADE) connecting D and E at the interface. The proposed approach offers high accuracy, still employing a rectangular FDTD mesh, thus striking a very appealing balance between accuracy and computational efficiency.
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