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arXiv 0812.2717physics.optics
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等离子体球四极共振的负群速度

Negative Group Velocity from Quadrupole Resonance of Plasmonic Spheres

Dezhuan Han, Yun Lai, Kin Hung Fung, Zhao-Qing Zhang, C. T. Chan

摘要:

研究了由等离子体球构成的三维光子晶体中电四极共振耦合产生的等离子体带的色散。通过解析推导,我们证明了具有小晶格常数的简立方光子晶体中的两个四极带分支具有负群速度。与其中负响应源自电响应和磁响应(P和M)的耦合的双负介质不同,由四极共振引起的负色散是四极的固有性质,其不需要耦合到另一个自由度。此外,没有简单有效的介质描述。在由金属纳米颗粒簇组成的等离子体系统中,耦合的四极共振可以被调谐到较低的光学频率,并且该四极共振与外部电磁(EM)波之间的耦合强度与磁偶极子M的量级相同。

英文摘要:

We study the dispersions of plasmonic bands that arise from the coupling of electric quadrupole resonances in three dimensional photonic crystals (PCs) consisting of plasmonic spheres. Through analytical derivation, we show that two branches of quadrupole bands in simple cubic PCs with a small lattice constant possess negative group velocities. Distinct from double negative media in which the negative responses originates from the coupling of electric and magnetic responses (P and M), the negative dispersion induced by quadrupole resonance is an intrinsic property of quadrupole that does not require coupling to another degree of freedom. In addition, there is no simple effective medium description. In plasmonic systems composed of metallic nanoparticle clusters, the coupled quadrupole resonance may be tuned to lower optical frequencies, and the coupling strength between this quadrupole resonance and external electromagnetic (EM) waves are in the same order of the magnetic dipole M.

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