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arXiv 2111.09795math.APmath-phmath.MPphysics.optics
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表面等离子体激元的时间反转

Time reversal of surface plasmons

Olivier Pinaud

摘要:

在这项工作中,我们研究所谓的“瞬时时间镜”的上下文中的表面等离子体。后者与导电片表面的高频波有关。瞬时时间镜是由M. Fink等人提出了一种新的聚焦波理论,即在波动方程中,时间变量的奇异扰动产生了时间反演的聚焦波。我们考虑了含时的三维麦克斯韦方程组,耦合到Drude的表面电流的描述模型。时间镜是由薄片上电子的德鲁德重量的突然、强烈变化模拟的。我们的目标是描述时间反演波的特征,特别是量化重聚焦的质量。我们建立,后者取决于源片的距离,并在一些物理参数,如电子的弛豫时间。我们还表明,除了等离子体波,时间镜产生一个自由传播的波,提供相反的表面波,在垂直于纸张的方向上的一些分辨率。最后研究了非瞬时反射镜的模糊效应。

英文摘要:

We study in this work the so-called "instantaneous time mirrors" in the context of surface plasmons. The latter are associated with high frequency waves at the surface of a conducting sheet. Instantaneous time mirrors were introduced by M. Fink et al, with the idea that singular perturbations in the time variable in a wave-type equation create a time-reversed focusing wave. We consider the time-dependent three-dimensional Maxwell's equations, coupled to Drude's model for the description of the surface current. The time mirror is modeled by a sudden, strong, change in the Drude weight of the electrons on the sheet. Our goal is to characterize the time-reversed wave, in particular to quantify the quality of refocusing. We establish that the latter depends on the distance of the source to the sheet, and on some physical parameters such as the relaxation time of the electrons. We also show that, in addition to the plasmonic wave, the time mirror generates a free propagating wave that offers, contrary to the surface wave, some resolution in the direction orthogonal to the sheet. Blurring effects due to non-instantaneous mirrors are finally investigated.

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