Scattering of dislocated wave fronts by vertical vorticity and the Aharonov-Bohm effect. I. Shallow water.

摘要: When a surface wave interacts with vertical vortex in shallow water the latter induces dislocation incident fronts that is analogous to what happens Aharonov-Bohm effect for scattering of electrons by confined magnetic field. In addition this global similarity between these two physical systems there scattering. This paper reports detailed calculation scattering, which quantitatively different from electronic case penetrates inside while do not penetrate solenoid. difference, together an additional difference equations govern both systems, lead quite waves, whose main characteristic strong asymmetry cross section. The assumptions and approximations under effects happen are carefully considered, their applicability acoustic waves vorticity noted.