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Volume 25, Issue 3
Modeling Photonic Crystals with Complex Unit Cells by Dirichlet-to-Neumann Maps

Yuexia Huang & Ya Yan Lu

J. Comp. Math., 25 (2007), pp. 337-349.

Published online: 2007-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

78A45, 65Z05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-25-337, author = {}, title = {Modeling Photonic Crystals with Complex Unit Cells by Dirichlet-to-Neumann Maps}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8695.html} }
TY - JOUR T1 - Modeling Photonic Crystals with Complex Unit Cells by Dirichlet-to-Neumann Maps JO - Journal of Computational Mathematics VL - 3 SP - 337 EP - 349 PY - 2007 DA - 2007/06 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8695.html KW - Photonic crystal, Periodic structure, Diffractive grating, Dirichlet-to-Neumann map, Operator marching. AB -

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.

Yuexia Huang & Ya Yan Lu. (1970). Modeling Photonic Crystals with Complex Unit Cells by Dirichlet-to-Neumann Maps. Journal of Computational Mathematics. 25 (3). 337-349. doi:
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