2010
DOI: 10.1103/physrevlett.104.093901
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Freak Waves in the Linear Regime: A Microwave Study

Abstract: Microwave transport experiments have been performed in a quasi-two-dimensional resonator with randomly distributed conical scatterers. At high frequencies, the flow shows branching structures similar to those observed in stationary imaging of electron flow. Semiclassical simulations confirm that caustics in the ray dynamics are responsible for these structures. At lower frequencies, large deviations from Rayleigh's law for the wave height distribution are observed, which can only partially be described by exis… Show more

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Cited by 222 publications
(166 citation statements)
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“…and convolving the c 2 distribution of the mean intensity with the Rayleigh distribution around the mean intensity, we can obtain as in the linear case [Höhmann et al, 2010] a K-distribution for the total distribution of wave heights…”
Section: Form Of the Wave Height Distributionmentioning
confidence: 99%
“…and convolving the c 2 distribution of the mean intensity with the Rayleigh distribution around the mean intensity, we can obtain as in the linear case [Höhmann et al, 2010] a K-distribution for the total distribution of wave heights…”
Section: Form Of the Wave Height Distributionmentioning
confidence: 99%
“…Intuitively, one may link the onset of a rogue wave to a resonant interaction of two or three solitary waves that may appear in the medium. However, large amplitude events may also appear in a purely linear regime [1,2,4,6]; a typical example is the generation of caustic surfaces in wave propagation [13,14].Propagation of electrons or light in a weakly scattering medium is a well-studied classical problem related to Anderson localization and caustic formation. Recent experiments in the optical regime [15] have shown clearly both the theoretically predicted light localization features as well as the localizing role of (focusing) nonlinearity in the propagation [15][16][17][18][19][20].…”
mentioning
confidence: 99%
“…Thus, destructive wave interference due to disorder leads to Anderson localization that may be enhanced by self-focusing nonlinearity. In the purely linear regime propagation in two dimensions in a weakly random medium has shown that branching effects appear through the generation of caustic surfaces [13,14], while linear rogue waves have been observed with microwaves [4].In this work we focus on an entirely different regime of wave propagation, in strongly scattering optical media that consist of Luneburg-type lenses randomly embedded in the bulk of glasses. Spherical or cylindrical Luneburg lenses (LLs) have very strong focusing properties directing all parallel rays impinging on them to a single spot on the opposite side surface.…”
mentioning
confidence: 99%
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