Giant fluctuations of topological charge in a disordered wave guide
arXiv:0707.2874 · doi:10.1080/17455030701788870
Abstract
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.
8 pages 5 figures, submitted to Waves in Random and Complex Media