A model for Faraday pilot waves over variable topography

Couder et al.  discovered that droplets walking on a vibrating bath possess certain features previously thought to be exclusive to quantum systems. These millimetric droplets synchronize with their Faraday wavefield, creating a macroscopic pilot-wave system. In this paper we exploit the fact that the waves generated are nearly monochromatic and propose a hydrodynamic model capable of quantitatively capturing the interaction between boufig2bncing drops and a variable topography. We show that our reduced model is able to reproduce some important experiments involving the drop–topography interaction, such as non-specular reflection and single-slit diffraction.

L. M. Faria, A model for Faraday pilot waves over variable topography, Journal of Fluid Mechanics, 2017.

Single slit trajectory