Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 337-349 |
Journal / Publication | Journal of Computational Mathematics |
Volume | 25 |
Issue number | 3 |
Publication status | Published - May 2007 |
Link(s)
Document Link | Links
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Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-34250315700&origin=recordpage |
Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(91115972-24d2-4647-83f8-b1671ebc6ec4).html |
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
Citation Format(s)
Modeling photonic crystals with complex unit cells by Dirichlet-to-Neumann maps. / Huang, Yuexia; Lu, Ya Yan.
In: Journal of Computational Mathematics, Vol. 25, No. 3, 05.2007, p. 337-349.
In: Journal of Computational Mathematics, Vol. 25, No. 3, 05.2007, p. 337-349.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review