光子晶体
平面波展开法
平面波展开
布里渊区
传递矩阵法(光学)
物理
光学
布洛赫波
传递矩阵
散射
平面波
基函数
矩阵法
基质(化学分析)
材料科学
凝聚态物理
计算机科学
量子力学
复合材料
计算机视觉
作者
Zhiyuan Li,Lan-Lan Lin
出处
期刊:Physical review
日期:2003-04-15
卷期号:67 (4)
被引量:306
标识
DOI:10.1103/physreve.67.046607
摘要
Transfer-matrix methods adopting a plane-wave basis have been routinely used to calculate the scattering of electromagnetic waves by general multilayer gratings and photonic crystal slabs. In this paper we show that this technique, when combined with Bloch's theorem, can be extended to solve the photonic band structure for 2D and 3D photonic crystal structures. Three different eigensolution schemes to solve the traditional band diagrams along high-symmetry lines in the first Brillouin zone of the crystal are discussed. Optimal rules for the Fourier expansion over the dielectric function and electromagnetic fields with discontinuities occurring at the boundary of different material domains have been employed to accelerate the convergence of numerical computation. Application of this method to an important class of 3D layer-by-layer photonic crystals reveals the superior convergency of this different approach over the conventional plane-wave expansion method.
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