Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)337-349
Journal / PublicationJournal of Computational Mathematics
Volume25
Issue number3
Publication statusPublished - May 2007

Abstract

For a photonic crystal (PhC) of finite size, it is important to calculate its transmission and reflection spectra. For two-dimensional (2-D) PhCs composed of a square lattice of circular cylinders, the problem can be solved by an efficient method based on the Dirichlet-to-Neumann (DtN) map of the unit cell and a marching scheme using a pair of operators. In this paper, the DtN operator marching method is extended to handle 2-D PhCs with complex unit cells and arbitrary lattice structures.

Research Area(s)

  • Diffractive grating, Dirichlet-to-Neumann map, Operator marching, Periodic structure, Photonic crystal