谐振子模型在金属纳米颗粒等离激元研究中的应用  

APPLICATION OF HARMONIC OSCILLATOR MODEL IN STUDYING OF PLASMONIC PROPERTIES IN METAL NANOPARTICLES

作　　者：刘津升 伊兆广 徐海英 刘扬正 LIU Jinsheng;YI Zhaoguang;XU Haiying;LIU Yangzheng(Department of Mathematics and Physics,Nanjing Institute of Technology,Nanjing Jiangsu 211167)

机构地区：[1]南京工程学院数理部

出　　处：《物理与工程》2019年第4期102-105,共4页Physics and Engineering

基　　金：江苏省青年基金项目(BK20160772);南京工程学院科研基金项目(YKJ201538;JCYJ201620)资助

摘　　要：金属纳米颗粒的局域表面等离激元使其具有丰富的光学性质,并在能源、生物医学、信息等诸多领域有着重要的应用前景。本文首先基于经典情况下的受迫谐振动模型,分别推导周期性力施加在有阻尼情况下的弹簧振子和两个具有相互作用的振子上时的平均功率表达式。再利用该表达式对金属纳米颗粒及其组装结构吸收光谱的数值计算结果进行拟合,拟合结果与计算结果相吻合。该研究对于研究和理解其他金属纳米颗粒和多颗粒聚合物的等离激元性质有一定帮助。Metal nanoparticles possess rich optical properties for their localized surface plasmon resonances,and have wide application prospect in renewable energy,biomedical science,information technology and so on.Based on the classic forced harmonic oscillation model,the average power formulas of the single damped spring oscillator and two interacted oscillators are deduced under the external periodic driving force.Then the numerical results of absorption spectra of metal nanoparticles and their assembly structures are fitted by the formulas,and the fitting results are in good agreement with the calculation results.This research is helpful to further study and understand the plasmonic properties of other metal nanoparticles and multi-particle polymers.

关 键 词：谐振子 等离激元 金属纳米颗粒 

分 类 号：TB3[一般工业技术—材料科学与工程]