Experimental study of surface waves scattering by a single vortex and a vortex dipole.
Surface waves interacting with filamentary vortex offer an interesting tool to characterize static and dynamics of surface vorticity. An experimental study of the scattered wave by a single vortex as well as by a vortex dipole is reported. On a plane wave front, the vortex circulation introduces a spatial phase shift that gives rise to dislocated waves. Dislocations can be explained by the effect of the differential advection due to the vortex flow, on the propagating wave front. Both the Burgers vector of dislocations and the scattering cross section are measured in the deep water regime. The analogy between the wave-vortex interaction and the Aharonov-Bohm effect in quantum mechanics is explored by contrasting the Burgers vectors of dislocations as well as the form of the scattered wave in both cases. For the case of the hard core vortex, spiral waves are observed in agreement with theoretical works on both the Aharanov-Bohm effect and classical surface wave mechanics.
Vivanco
Francisco
F
Departamento de Física de la Universidad de Santiago de Chile and Centro para la Investigación Interdisciplinaria Avanzada en Ciencia de los Materiales, CIMAT, Avenida Ecuador 3493, Casilla 307, Correo 2, Santiago, Chile.
Melo
Francisco
F