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Surface plasmons in coupled metallic nanoparticles: numerical verification of new analytical approaches

机译：偶联金属纳米颗粒中的表面等离子体激元：新分析方法的数值验证

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Recently a new approximate analytical method based on simple physical reasoning for the calculation of surface plasmon frequencies in the complexes of metallic nanoparticles (MNP) (particularly spheres) has been proposed [1]. The method called Eliminated Quadrupole Moment Approximation (EQMA) allows adequate description of existing experimental data concerning surface plasmons in the system of two coupled spheres [4]. We present the results of numerical simulation based on Discrete Dipole Approximation (DDA) ([5]) performed in order to identify the limits of applicability of EQMA. It is shown that EQMA works very well for interparticle distances down to 0.1 of the diameter of the sphere. It is demonstrated also that obtaining of reliable numerical results with use of DDSCAT (simulation tool for DDA, [7]) requires presentation of the spheres as an ensemble of more than 500000 point dipoles, whereas in EQMA each of the spheres is substituted by only one dipole. The obvious advantage of EQMA is that it provides the resonance frequency for the given values of the parameters of the problem practically instantly while the DDSCAT requires several hours to obtain the same result.
机译：最近，已经提出了一种基于简单物理推理的新的近似分析方法，用于计算金属纳米粒子（MNP）（尤其是球体）的复合物中的表面等离激元频率[1]。称为消除四极矩矩近似法（EQMA）可以对两个耦合球体系统中有关表面等离激元的现有实验数据进行充分描述[4]。我们提出了基于离散偶极近似（DDA）（5）进行数值模拟的结果，以确定EQMA的适用范围。结果表明，EQMA在粒子间距离低至球体直径0.1的情况下效果很好。还证明了使用DDSCAT（用于DDA的仿真工具，[7]）获得可靠的数值结果，需要将球体表示为超过500万个点偶极子的集合，而在EQMA中，每个球体仅被替换为一个偶极子。 EQMA的明显优势在于，它几乎可以立即为问题的给定参数值提供共振频率，而DDSCAT需要几个小时才能获得相同的结果。

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