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Image theory for Plasmon-modified luminescence near nano-spheres

机译：纳米球附近等离子体改性发光的图像理论

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摘要

We present a simple quasi-static model to describe the electromagnetic interaction between a dipolar emitting molecule and a Plasmonic (metal) nano-sphere. We approximate the effect of the Plasmonic nano-spheres on the molecule by replacing the sphere with off centered dipole images derived using the image theory of dielectric spheres. The retardation effect is taken into account by electrodynamical modifications on the spherical polarizability and the dipole radiation field. The modifications of the radiative rate, total decay rate and the quantum yield of a single molecule near the Plasmon sphere are also derived. The image model indicates strong distance dependence for the modification on the molecule's spontaneous radiative rates and total decay rates. Comparisons with the exact electrodynamical model and other simplified models indicate that the off-centered dipole images provide accurate predictions for the modified radiative rates and total decay rates, even at close distances.
机译：我们提出了一个简单的准静态模型来描述偶极发射分子与等离子体（金属）纳米球之间的电磁相互作用。通过用介电球的图像理论得出的偏心偶极子图像代替球体，我们可以近似等离子纳米球对分子的影响。通过对球形极化率和偶极辐射场进行电动力学修改来考虑延迟效应。还推导了等离激元球体附近单个分子的辐射速率，总衰减速率和量子产率的变化。图像模型显示出对分子自发辐射速率和总衰变速率的修饰具有很强的距离依赖性。与精确的电动力学模型和其他简化模型的比较表明，即使在近距离处，偏心偶极子图像也可以为修改后的辐射率和总衰减率提供准确的预测。

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