Two-Dimensional Pulse Propagation without Anomalous Dispersion.
Two-Dimensional Pulse Propagation without Anomalous Dispersion.
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无反常色散的二维脉冲传播。
DOI：
10.1103/physrevlett.119.114301
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发表时间：
2017
影响因子：
8.6
通讯作者：
Bender CM
中科院分区：
文献类型：
--
作者：
Bender CM
反常色散是与波在偶数个空间维度中的传播相关联的令人惊讶的现象。特别是，在二维空间中传播的波脉冲即使在没有色散介质的情况下也会改变形状并形成尾部。我们在数学上表明，这种色散可以通过考虑修改后的波动方程与两个几何空间维度和非常规的，两个类时维度。实验上，这样的波动方程描述了脉冲在具有双曲色散的光学或声学介质中的传播，从而对纳米结构超材料中的超短脉冲整形有了基本的理解和新的方法。
Anomalous dispersion is a surprising phenomenon associated with wave propagation in an even number of space dimensions. In particular, wave pulses propagating in two-dimensional space change shape and develop a tail even in the absence of a dispersive medium. We show mathematically that this dispersion can be eliminated by considering a modified wave equation with two geometric spatial dimensions and, unconventionally, two timelike dimensions. Experimentally, such a wave equation describes pulse propagation in an optical or acoustic medium with hyperbolic dispersion, leading to a fundamental understanding and new approaches to ultrashort pulse shaping in nanostructured metamaterials.