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Giant fluctuations of topological charge in a disordered wave guide

We study the fluctuations of the total topological charge of a scalar wave propagating in a hollow conducting wave guide filled with scatterers inside. We investigate the dependence of the screening on the scattering mean free path and on the presence of boundaries. Near the cut-off frequencies of the wave guide, screening is strongly suppressed near the boundaries. The resulting huge fluctuations of the total topological charge are very sensitive to the disorder.

preprint2007arXivOpen access
D. Anache-MenierB. A. van Tiggelen
cond-mat.other
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Open access2 authors1 topic
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D. Anache-MenierB. A. van Tiggelen

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