Abstract
We study the fluctuations of the total topological charge of a scalar wave propagating in a hollow conducting waveguide 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 waveguide, screening is strongly suppressed close to boundaries. The resulting huge fluctuations of the total topological charge are very sensitive to the disorder.
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