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arXiv 2003.02787math.APmath-phmath.MP
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等离子体应变传感器的数学建模

Mathematical modelling of plasmonic strain sensors

Habib Ammari, Pierre Millien, Alice L. Vanel

摘要:

我们提供了一个数学分析的超表面构造的等离子纳米粒子定期安装在微胶囊的表面上。我们推导出一个有效的传输条件,它表现出共振依赖于粒子间的距离。当微胶囊变形时,共振发生偏移。我们充分证明了这些共振对微胶囊变形的依赖性,从而能够在微观水平上检测应变。我们提出了数值模拟来验证我们的结果。

英文摘要:

We provide a mathematical analysis for a metasurface constructed of plasmonic nanoparticles mounted periodically on the surface of a microcapsule. We derive an effective transmission condition, which exhibits resonances depending on the inter-particle distance. When the microcapsule is deformed, the resonances are shifted. We fully characterise the dependence of these resonances on the deformation of the microcapsule, enabling the detection of strains at the microscale level. We present numerical simulations to validate our results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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