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首页> 外文期刊>Plasmonics >Singular Representation of Plasmon Resonance Modes to Optimize the Near- and Far-Field Properties of Metal Nanoparticles
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Singular Representation of Plasmon Resonance Modes to Optimize the Near- and Far-Field Properties of Metal Nanoparticles

机译：等离子体共振模式的奇异表示，以优化金属纳米粒子的近场和远场特性

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摘要

A singular representation of the complex-valued extinction coefficient of metal nanoparticles is developed to characterize the resonant behavior of plasmonic systems exhibiting an arbitrary number of resonances. This complex coefficient is analytically represented in form of a meromorphic function of the pulsation containing a singular (resonant) and a regular part, and an original algorithm based on a numerical derivation is proposed to find all resonant parameters of each excited mode. This approach, applied to silver nanoparticles, allows a characterization of the resonance red-shift and broadening when increasing the particle size or the local refractive index, as well as a particular sphere radius presenting a minimal bandwidth corresponding to minimal losses in the system. The optical cross sections of individual modes present an optimal particle size that maximizes the absorption cross section and from which the scattering process becomes predominant with respect to the absorption. Optical efficiencies can also be optimized regarding the particle size, and their variations are correlated to those of the maximum near-field intensity. The hybrid modes in silver dimers are also analyzed, and the hot spot intensity resulting from the longitudinal mode excitation can also be maximized by optimizing the particle size and the local refractive index.
机译：开发了金属纳米粒子的复数值消光系数的奇异表示，以表征表现出任意数量共振的等离子体系统的共振行为。该复数系数以包含奇异（谐振）和规则部分的脉动的亚纯函数的形式解析地表示，并提出了一种基于数值推导的原始算法来找到每个激励模式的所有谐振参数。应用于银纳米粒子的这种方法可以在增加粒径或局部折射率时表征共振红移和展宽，以及特定的球体半径呈现出最小带宽，该最小带宽对应于系统中的最小损耗。各个模式的光学横截面呈现出最佳的粒径，该粒径使吸收截面最大，并且散射过程相对于吸收起主要作用。关于颗粒尺寸，也可以优化光学效率，并且它们的变化与最大近场强度的变化相关。还分析了银二聚体中的混合模式，并且通过优化粒径和局部折射率，也可以使纵向模式激发产生的热点强度最大化。

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