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Closed form formulas and tunability of resonances in pairs ofgold-dielectric nanoshells

机译:一对 r ng介电纳米壳的闭合形式公式和共振的可调性

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Analyses of the resonances of both symmetric and antisymmetric polarization states in pairs of tightly coupled nanoshells, made of either a gold-core/dielectric-shell or a dielectric-core/gold-shell, are carried out at optical frequencies. The nanoparticles are modeled as single electric dipoles, at first considering only the static (non retarded) field terms and resorting to closed-form expressions to investigate the transverse and longitudinal (with respect to the pair axis) plasmonic resonance frequencies of the nanoshell pair. These approximate resonance values are then compared to the ones obtained including all dynamical retarded field terms, and with full wave simulations. We also show how the additional degree of freedom provided by using nanoshells, in contrast to using solid metallic nanoparticles, can be exploited for tuning the symmetric and antisymmetric resonance frequencies in pairs of tightly coupled nanoshells. Indeed, optical resonances of nanoshells can be varied over hundreds of nanometers in wavelength, across the visible and into the infrared region of the spectrum, by varying the relative dimensions of the core and shell. This makes the pair suitable as a constituent for metamaterials since it supports an antisymmetric mode that can be interpreted as an effective magnetic dipole; therefore, it is useful for providing artificial magnetism in metamaterials that may support backward propagation or have equivalent high/low characteristic wave impedance. Furthermore, we show the field enhancement between the two nanoparticles which may find applications in surface enhanced Raman scattering. We also show how an incident field excites the transversal and longitudinal modes supported by the pair.
机译:在光频率下,对由金核/介电壳或介电核/金壳制成的成对紧密耦合的纳米壳中的对称和反对称偏振态的共振进行分析。首先将纳米颗粒建模为单个电偶极子,首先仅考虑静态(非延迟)场项,并采用封闭形式的表达式来研究纳米壳对的横向和纵向(相对于对轴)等离子体共振频率。然后将这些近似谐振值与包括所有动态滞后项在内的谐振值进行比较,并进行全波仿真。我们还展示了与使用固体金属纳米颗粒相比,如何使用纳米壳提供的额外自由度可用于调节成对的紧密耦合纳米壳中的对称和反对称共振频率。实际上,通过改变核和壳的相对尺寸,纳米壳的光学共振可以在整个光谱的可见光范围内和红外光谱范围内在数百纳米的波长范围内变化。这使得该对适合用作超材料的组成部分,因为它支持可以被解释为有效磁偶极子的反对称模式。因此,可用于在超材料中提供人造磁性,以支持反向传播或具有等效的高/低特征波阻抗。此外,我们显示了两个纳米粒子之间的场增强,这可能在表面增强拉曼散射中找到了应用。我们还展示了入射场如何激发该对所支持的横向和纵向模式。

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