Two-Dimensional Pulse Propagation without Anomalous Dispersion.

@article{Bender2017TwoDimensionalPP,
  title={Two-Dimensional Pulse Propagation without Anomalous Dispersion.},
  author={Carl M Bender and Francisco J. Rodr{\'i}guez-Fortu{\~n}o and Sarben Sarkar and Anatoly V. Zayats},
  journal={Physical review letters},
  year={2017},
  volume={119 11},
  pages={
          114301
        }
}
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… 

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* Electronic address: cmb@wustl.edu † Electronic address: francisco.rodriguez˙fortuno@kcl.ac.uk ‡ Electronic address: sarben.sarkar@kcl.ac.uk § Electronic address: a

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