Title: A model for Faraday pilot waves over variable topography,
Abstract: Couder and Fort 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 bouncing 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.