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arXiv · 2402.15519

The Dirac-Delta Rogue Wave

Miguel C. N. Fiolhais·Andrea Ferroglia
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Abstract

This paper presents a double spatio-temporal localized Dirac-delta solution for the linear wave equation. The solution arises from the interference of sinusoidal waves with frequencies that vary as a function of the time of emission. It is shown that the time-dependent frequency function required to produce a localized Dirac-delta wave is exclusively determined by the dispersion relation of the medium in which the wave is traveling. Both numerical and exact analytical solutions for a typical physical scenario are obtained and displayed. The application of this result to possible practical uses is discussed.

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Miguel C. N. Fiolhais, Andrea Ferroglia. 2024-02-12. The Dirac-Delta Rogue Wave. https://arxiv.org/abs/2402.15519

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