Band Structure and Coupled Surface Plasmons in One Dimensional, Frequency Dependent Photonic Crystals

M. Bergmair, K. Hingerl
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Abstract

In the last two decades photonic crystals (PC) have been studied in one, two and three dimensions. Recently metallic two and three dimensional PCs were investigated with the focus on using such structures in incandescent lightning and thermal photovoltaic applications. These structures exhibit a metallic band gap below a certain threshold frequency as well as structural band gaps. The PC can be designed that the metallic band gap allows to block the infrared transmission respectively emission. We will show that also simple one dimensional systems have the same features in case one component has a large absorbing part in its dielectric function. In this frequency region an omni-directional absorption band gap will occur. We demonstrate this effect by studying a metallic and polaritonic photonic crystal. In the last part of this article we show the dispersion relation of surface plasmons and polaritons by studying grazing incidence parallel to the layers. These surface states extend over adjacent layers and exhibit a region of negative group velocity for a polaritonic photonic crystal.
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一维频率相关光子晶体中的带结构和耦合表面等离子体
近二十年来,人们对光子晶体进行了一维、二维和三维的研究。近年来对金属二维和三维pc进行了研究,重点是在白炽灯和热光伏应用中使用这种结构。这些结构表现出低于一定阈值频率的金属带隙和结构带隙。PC机可以设计成金属带隙可以阻挡红外透射分别发射。我们将证明,当一个分量在其介电函数中具有较大的吸收部分时,简单的一维系统也具有相同的特征。在这个频率区域会出现一个全向吸收带隙。我们通过研究金属偏振光子晶体来证明这一效应。在本文的最后部分,我们通过研究平行于层的掠入射来说明表面等离子体激元和极化激元的色散关系。这些表面状态延伸到相邻的层上,并表现出负群速度的极化光子晶体区域。
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