Giant fluctuations of topological charge in a disordered wave guide

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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8 pages 5 figures, submitted to Waves in Random and Complex Media

Scientific paper

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.

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