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Journal Article

Statistics of Extreme Waves in Random Media

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Fleischmann,  Ragnar
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Geisel,  Theo
Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Metzger, J., Fleischmann, R., & Geisel, T. (2014). Statistics of Extreme Waves in Random Media. Physical Review Letters, 112: 203903. doi:10.1103/PhysRevLett.112.203903.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0F3B-0
Abstract
Waves traveling through random media exhibit random focusing that leads to extremely high wave intensities even in the absence of nonlinearities. Although such extreme events are present in a wide variety of physical systems and the statistics of the highest waves is important for their analysis and forecast, it remains poorly understood, in particular, in the regime where the waves are highest. We suggest a new approach that greatly simplifies the mathematical analysis and calculate the scaling and the distribution of the highest waves valid for a wide range of parameters.