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C3v和C4v金属纳米多颗粒-薄膜系统的Fano共振光谱的群论

Group Theory of Fano Resonance Spectra in System of C3v and C4v Metallic Multi-Nanoparticles-Thin Film

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摘要

针对C3v和C4v对称构型金属纳米多颗粒-薄膜系统的Fano共振光谱低谷的产生机理,运用群论的方法给出了详细的推导。在前期研究成果的基础上,分析证实了当线偏振光电场沿多颗粒所在平面入射时,Cnv对称构型多颗粒-薄膜系统共有4个满足相同不可约表示的E模式:在多颗粒所在平面内只有3个局域表面等离激元电偶极矩共振对称模式,其中2个模式位于外围环形多颗粒中,中心颗粒单独具有1个模式,这与Dnh对称构型多颗粒系统的电偶极矩分布完全相同;另外1个模式虽满足对称性相同的要求,但其电偶极矩的方向垂直于多颗粒所在的平面。Cnv点群和Dnh点群虽然具有相同的光谱线型,但是薄膜基底的存在会使光谱谷(峰)产生一定的红移或蓝移,这就为设计金属纳米多颗粒-薄膜系统的光学性质及其广泛应用提供了一定的参考。

Abstract

The mechanism of Fano resonance spectrum dip resulting from the system of symmetric metallic multi-nanoparticles-thin film belonging to C3v and C4v is deduced in detail using group theory. Based on previous research achievements, it is verified that there are only four E modes meet with the same irreducible representation in the system of Cnv symmetric multi-particles-thin film, when the linearly polarized light electric field inputs along the multi-particles plane. There are only three local surface plasmon electric dipole moment resonance symmetry modes in the multi-particles plane, and among them, the periphery ring-multiparticles own two, the central particle own one. These results are completely the same with electric dipole moment distribution of Dnh symmetry multiparticles system. The direction of the electric dipolar moments of the rest one is perpendicular to the multi-particles plane although it satisfies the requirement of the same symmetry. In addition, Cnv and Dnh point groups hold the same spectrum linetype, however, there is some redshift or blueshift of spectrum dip (peak) if the thin film base exists. This work can provide some references for designing the optical properties and its extended applications about the system of metallic multi-nanoparticles-thin film.

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中图分类号:O433.4

DOI:10.3788/aos201636.1024001

所属栏目:表面光学

收稿日期:2016-03-30

修改稿日期:2016-06-06

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作者单位    点击查看

李梦君:南开大学电子信息与光学工程学院现代光学研究所, 天津 300071
李小明:深圳大学纳米光子学研究中心, 光电工程学院光电子器件与系统教育部/广东省重点实验室, 广东 深圳 518060

联系人作者:李梦君(aiwomengjun123@126.com)

备注:李梦君(1986—),女,博士研究生,主要从事微纳光学方面的研究。

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引用该论文

Li Mengjun,Li Xiaoming. Group Theory of Fano Resonance Spectra in System of C3v and C4v Metallic Multi-Nanoparticles-Thin Film[J]. Acta Optica Sinica, 2016, 36(10): 1024001

李梦君,李小明. C3v和C4v金属纳米多颗粒-薄膜系统的Fano共振光谱的群论[J]. 光学学报, 2016, 36(10): 1024001

被引情况

【1】崔健,季博宇,林景全. 激发等离激元Fano共振的金属类圆盘纳米结构体系. 激光与光电子学进展, 2018, 55(6): 60002--1

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