Norton Stephen J, Vo-Dinh Tuan
Fitzpatrick Institute for Photonics, Duke University, Durham, NC 27708 ; Department of Biomedical Engineering, Duke University, Durham, NC 27708.
J Nanophotonics. 2008 Sep 26;2. doi: 10.1117/1.3001731.
Analytical expressions for the plasmon resonance frequencies of prolate and oblate spheroids and their dependence on ellipticity have been derived, and approximate bounds on these frequencies established. These formulas may be useful in tuning the plasmon resonance within certain limits. With increasing aspect ratio, the prolate spheroid resonance is red shifted relative to a sphere with no lower limit under the assumptions of a Drude dispersion model. On the other hand, the oblate resonances are blue shifted as the spheroid becomes increasingly flat, but up to a limit.
已推导得出长椭球体和扁椭球体的等离子体共振频率的解析表达式及其对椭圆率的依赖性，并确定了这些频率的近似界限。这些公式在一定限度内调节等离子体共振方面可能有用。在德鲁德色散模型的假设下，随着纵横比增加，长椭球体共振相对于球体发生红移且没有下限。另一方面，随着扁椭球体变得越来越扁平，其共振发生蓝移，但有一个限度。
