The present article has addressed the quantitative characterization of this path
memory. We have first studied the excitation of Faraday waves by a single disturbance
below the instability threshold. Turning to the case of a linear moving droplet, we
have shown that its global wave field can be entirely described by the superposition of
waves excited along a straight line by the successive impacts of its bouncing. We have
thus shown that when a walker is far from any boundary, there exists a translating
global solution for both the droplet and the interference pattern of the wave field.