Modeling Photonic Crystals with Complex Unit Cells by Dirichlet-to-Neumann Maps

Modeling Photonic Crystals with Complex Unit Cells by Dirichlet-to-Neumann Maps

Year:    2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 3 : pp. 337–349

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-8695

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 3 : pp. 337–349

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Photonic crystal Periodic structure Diffractive grating Dirichlet-to-Neumann map Operator marching.