Two-dimensional wave propagation without anomalous dispersion
Mesoscale and Nanoscale Physics
2017-09-20 v1 Classical Physics
Abstract
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.
Cite
@article{arxiv.1612.08718,
title = {Two-dimensional wave propagation without anomalous dispersion},
author = {Carl M. Bender and Francisco J. Rodriguez and Sarben Sarkar and Anatoly V. Zayats},
journal= {arXiv preprint arXiv:1612.08718},
year = {2017}
}