Dangers of using the edges of the Brillouin zone
Dangers of using the edges of the Brillouin zone
复制标题
DOI：
10.1103/physrevb.86.115130
复制
发表时间：
2012-09-21
影响因子：
3.7
通讯作者：
Guenneau, S.
中科院分区：
文献类型：
--
作者：
Craster, R. V.;Antonakakis, T.;Guenneau, S.
在固态物理学中，包括光子学和任何出现周期性晶格结构的地方，建立与波通过晶格传播相关的基本特征是至关重要的：这是使用布洛赫波，倒易晶格和使用周期性的约化来考虑不可约布里渊区。一般的方法，虽然被广泛接受为不完全合法的，是绘制周围的布里渊区边缘的色散关系。我们明确地表明，这可能是危险的，并且如果以过于漫不经心的方式完成，则会错过具有实际意义的重要模式：这种缺失模式说明了基于弹簧质量（离散）周期性结构和光子晶体的内窥镜设计。
In solid-state physics, including photonics and wherever periodic lattice structures occur, it is essential to establish the fundamental features associated with wave propagation through the lattice: This is achieved using Bloch waves, the reciprocal lattice, and the reduction, using periodicity, to consider the irreducible Brillouin zone. A general approach, although widely accepted as not being perfectly legitimate, is to plot the dispersion relations around the edges of the Brillouin zone. We show definitively that this can be dangerous and that an important mode of practical significance is missed if this is done in too cavalier a fashion: This missing mode is illustrated for the design of endoscopes based on spring-mass (discrete) periodic structures and photonic crystals.