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Coupled-mode theory of field enhancement in complex metal nanostructures

机译:复杂金属纳米结构中场增强的耦合模式理论

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We describe a simple yet rigorous theoretical model capable of analytical estimation of plasmonic field enhancement in complex metal structures. We show that one can treat the complex structures as coupled multipole modes with highest enhancements obtained due to superposition of high-order modes in small particles. The model allows one to optimize the structures for the largest possible field enhancements, which depends on the quality factor Q of the metal and can be as high as Q2 for two spherical particles. The hot spot can occur either in the nanogaps between the particles or near the smaller particles. We trace the optimum field enhancement mechanism to the fact that the extended dipole modes of larger particles act as efficient antennas, while the modes in the gaps or near the smaller particles act as the compact subwavelength cavities. The present analytical approach can be conveniently extended to incorporate large numbers of particles in various intricate arrangements.
机译:我们描述了一个简单而严谨的理论模型,能够对复杂金属结构中的等离子体场增强进行分析估计。我们表明,可以将复杂结构视为耦合的多极子模式,由于小颗粒中高阶模子的叠加而获得了最高的增强。该模型可以优化结构,以实现最大可能的场增强,这取决于金属的品质因数Q,并且对于两个球形粒子,可以高达Q2。热点可能出现在粒子之间的纳米间隙中,也可能出现在较小的粒子附近。我们将最佳场增强机制归结为以下事实:较大粒子的扩展偶极子模式充当有效天线,而间隙中或较小粒子附近的模式充当紧凑的亚波长腔。可以方便地扩展本分析方法,以各种复杂的方式结合大量颗粒。

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