A systematic study of nonlocal and size effects on the energy transfer of a dipole (e.g., a molecule or a quantum dot) induced by the proximity of a metal slab is presented. Nonlocal effects are accounted for using the hydrodynamic model (HDM). We derive a general relation that connects the energy transfer rate to the linear charge density–density response function of the slab. This function is explicitly evaluated for the HDM and the local Drude model. We show that a thin metal slab can support a series of higher-frequency surface plasma wave (SPW) modes in addition to the normal SPW modes, thanks to the nonlocal effects. These modes markedly alter the response and the energy transfer process, as revealed in the structure of the energy transfer rate in the parameter space. Our findings are important for applications such as the recently developed metal-induced energy transfer imaging, which relies on accurate modeling of the energy transfer rate.

中文翻译：

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水动力对从偶极子到金属板的能量转移的影响

介绍了对由金属板的接近引起的偶极子（例如，分子或量子点）的能量转移的非局部和尺寸效应的系统研究。使用流体动力学模型 (HDM) 来考虑非局部效应。我们推导出一个一般关系，将能量转移率与板的线性电荷密度-密度响应函数联系起来。该函数针对 HDM 和本地 Drude 模型进行了显式评估。我们表明，由于非局域效应，除了正常的 SPW 模式外，薄金属板还可以支持一系列更高频率的表面等离子体波 (SPW) 模式。这些模式显着改变了响应和能量转移过程，正如参数空间中能量转移率的结构所揭示的那样。