Two-dimensional pulse propagation without anomalous dispersion

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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 modi ed wave equation with two geometric spatial dimensions and, unconventionally, two time-like 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.
Original languageEnglish
Article number114301
Pages (from-to)1-5
Number of pages5
JournalPhysical Review Letters
Issue number11
Early online date15 Sept 2017
Publication statusPublished - 15 Sept 2017


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