MODELING PHOTONIC CRYSTALS WITH COMPLEX UNIT CELLS BY DIRICHLET-TO-NEUMANN MAPS

• 来源期刊: 计算数学（英文版）
• 关键词: Photonic crystal Periodic structure Diffractive grating Dirichlet-to-Neumann map Operator marching
• 年，卷（期）: 2007,（3）
• 页码范围: 337-349
• 页数: 13页
• 语种: 英文

摘要

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 Dirichletto-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.