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arXiv 1612.08718cond-mat.mes-hallphysics.class-ph
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无反常色散的二维波传播

Two-dimensional wave propagation without anomalous dispersion

Carl M. Bender, Francisco J. Rodriguez, Sarben Sarkar, Anatoly V. Zayats

摘要:

在两个空间维度和一个时间维度中,即使没有色散介质,波也会改变其形状。然而,这种异常的色散行为在空的二维空间不会发生,如果波动动力学是由一个线性齐次波动方程在两个空间维和{ \it两}时间维。在这样的空间中的波传播可以在三维各向异性超材料中实现,其中一个空间维度具有负介电常数,因此用作有效的第二时间维度。这些结果导致一个基本的理解和新的方法,超短脉冲整形纳米结构和超材料。

英文摘要:

In two space dimensions and one time dimension a wave changes its shape even in the absence of a dispersive medium. However, this anomalous dispersive behavior in empty two-dimensional space does not occur if the wave dynamics is described by a linear homogeneous wave equation in two space dimensions and {\it two} time dimensions. Wave propagation in such a space can be realized in a three-dimensional anisotropic metamaterial in which one of the space dimensions has a negative permittivity and thus serves as an effective second time dimension. These results lead to a fundamental understanding and new approaches to ultrashort pulse shaping in nanostructures and metamaterials.

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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