TY - JOUR
T1 - Modeling Photonic Crystals with Complex Unit Cells by Dirichlet-to-Neumann Maps
AU - Yuexia Huang & Ya Yan Lu
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 - <p style="text-align: justify;">For a photonic crystal (PhC) of finite size, it is important to &nbsp;calculate its transmission and reflection spectra. For &nbsp;two-dimensional (2-D) PhCs composed of a square lattice of circular &nbsp;cylinders, the problem can be solved by an efficient method based on &nbsp;the Dirichlet-to-Neumann (DtN) map of the unit cell and a marching &nbsp;scheme using a pair of operators. In this paper, the DtN operator &nbsp;marching method is extended to handle 2-D PhCs with complex unit &nbsp;cells and arbitrary lattice structures.</p>