金属纳米颗粒组成的二维准晶的局域化特性
Localization characteristics of two-dimensional quasicrystals consisting of metal nanoparticles
摘要：
利用本征分解方法，研究了二维金属纳米颗粒准晶阵列中的等离子体激元模式。等离子体激元模式的各种属性，如它们的对称性，辐射损失和空间本地化进行了研究。一些集体等离子体模式被发现是泄漏的面外辐射损失，但一些模式可以有非常高的保真度。为了便于分析集体等离子体激元模式的复杂行为，我们考虑了由模式的频率、模式的参与率（给出空间分布）和与模式的逆寿命相关的本征值定义的三维参数空间中的轨迹图。借助轨迹图方法，我们发现了一些以特殊方式局域化的模式，其中空间局域化程度最高、保真度最高的等离子体激元模式是一种反相环模式。通常，不同的局域模具有非常不同的径向衰减行为。模态的保真度与它们的空间局部化之间没有特殊的关系。
英文摘要：
Using the eigen-decomposition method, we investigated the plasmonic modes in a two-dimensional quasicrystalline array of metal nanoparticles. Various properties of the plasmonic modes, such as their symmetry, radiation loss and spatial localization are studied. Some collective plasmonic modes are found to be leaky with out-of-plane radiation loss, but some modes can have very high fidelity. To facilitate the analysis on the complex behavior of the collective plasmonic modes, we considered a trajectory map in a three dimension parameter space defined by the frequency of the mode, the participation ratio of the mode that gives the spatial distribution, and the eigenvalue that is related to the inverse lifetime of the mode. With the help of the trajectory map method, we found that there are modes that are localized in some special ways and the plasmonic mode with highest spatial localization and highly fidelity is found to be a type of anti-phase ring mode. In general, different localized modes have very different radial decay behaviors. There is no special relationship between the fidelity of the modes and their spatial localization.
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