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Comparative Study of Light Guiding by Freestanding Linear Chains of Spherical Au and Si Nanoparticles
Physica Status Solidi (B) - Basic Solid State Physics ( IF 1.5 ) Pub Date : 2020-06-18 , DOI: 10.1002/pssb.202000151
Mikhail Yu. Barabanenkov 1, 2 , Aleksandr G. Italyantsev 2 , Aleksandr A. Sapegin 2
Affiliation  

Electromagnetic energy guiding by free‐standing straight finite chains of Au and Si spherical nanoparticles is comparatively studied on the basis of a system of integral equations for self‐consistent currents excited inside particles. Self‐consistent currents are given in terms of an electric field T‐scattering tensor (dyadic) operator of a single particle of any shape. Simplifying the T‐scattering operator, the equations system is resolved analytically in the nearest‐neighbor coupling approximation. Interactions beyond the nearest neighbors are accounted for by the perturbative theory. It is shown that electromagnetic excitation propagates along a chain of coupled particles without radiation losses in the form of a dark mode. The resonant conditions for the coupling parameter yield the frequency of the dark mode and the corresponding radius of the particles. As a result, unlike Au chains, no long‐range electromagnetic energy transfer was revealed along the Si chains. Physically, in both cases of Au and Si spheres, the resonant frequencies fall within the bands of the corresponding electric dipole Mie resonances. However, the positive value of the real part of the Si refraction index at the resonant frequency causes exponential excitation currents decreasing with the particle number.

中文翻译:

球形金纳米粒子和硅纳米粒子的独立式线性链对光导的比较研究

在一个积分方程组的基础上,比较研究了由Au和Si球形纳米颗粒的独立的直的有限有限直链引导的电磁能,以激发颗粒内部的自洽电流。自洽电流是根据任何形状的单个粒子的电场T散射张量(二进位)算子给出的。为简化T散射算子,方程组通过最近邻耦合近似解析地求解。微扰理论解释了最近邻居之间的相互作用。结果表明,电磁激发沿耦合粒子链传播,而没有辐射损耗,呈暗模式。耦合参数的共振条件产生暗模式的频率和相应的粒子半径。结果,与Au链不同,沿着Si链没有发现长距离电磁能量转移。从物理上讲,在Au和Si球的两种情况下,共振频率都在相应的电偶极Mie共振带内。但是,在共振频率下,Si折射率的实部为正值会导致指数激发电流随粒子数而减小。
更新日期:2020-06-18
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