微波光子晶体的极值传输及矩形Dirac球边缘态的观测
Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiard
摘要：
本文介绍了波在由三角形点阵排列的金属圆柱构成的无界和有界光子晶体中传播特性的实验结果。首先，我们提出了平面波穿越光子晶体的传输测量。实验在狄拉克点附近进行，即，光子能带结构的孤立圆锥奇点。在那里，透射显示出伪扩散1/L依赖性，其中$L$是晶体的厚度，这也是在石墨烯中观察到的现象。其次，本征模强度分布测量微波模拟的相对论狄拉克台球，矩形微波台球，包含一个光子晶体，进行了讨论。已经检测到接近狄拉克点的状态，其位于光子晶体的直边缘处，对应于石墨烯中的锯齿形边缘。
英文摘要：
This article presents experimental results on properties of waves propagating in an unbounded and a bounded photonic crystal consisting of metallic cylinders which are arranged in a triangular lattice. First, we present transmission measurements of plane waves traversing a photonic crystal. The experiments are performed in the vicinity of a Dirac point, i.e., an isolated conical singularity of the photonic band structure. There, the transmission shows a pseudodiffusive 1/L dependence, with $L$ being the thickness of the crystal, a phenomenon also observed in graphene. Second, eigenmode intensity distributions measured in a microwave analog of a relativistic Dirac billiard, a rectangular microwave billiard that contains a photonic crystal, are discussed. Close to the Dirac point states have been detected which are localized at the straight edge of the photonic crystal corresponding to a zigzag edge in graphene.
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