Waveguides for walking droplets

Abstract

When gently placing a droplet onto a vertically vibrated bath, a drop can bounce without coalescing. Upon increasing the forcing acceleration, the droplet is propelled by the wave it generates and becomes a walker with a well defined speed. We investigate the confinement of a walker in different rectangular cavities, used as waveguides for the Faraday waves emitted by successive droplet bounces. By studying the walker velocities, we discover that 1d confinement is optimal for narrow channels of width of $D\simeq 1.5{\lambda }_F$. We also propose an analogy with waveguide models based on the observation of the Faraday instability within the channels.

8 pages, 6 figures

References in corpus (6)

• Revisiting time reversal and holography with spacetime transformations
• A quasi-monomode guided atom-laser from an all-optical Bose-Einstein condensate
• Resonant and rolling droplet
• Mutual adaptation of a Faraday instability pattern with its flexible boundaries in floating fluid drops
• Strings of droplets propelled by coherent waves
• Scattering theory of walking droplets in the presence of obstacles

Cited by in corpus (7)

• Collective vibrations of confined levitating droplets
• Standard map-like models for single and multiple walkers in an annular cavity
• Quantized orbital-chasing liquid metal heterodimers directed by an integrated pilot-wave field
• Overload wave-memory induces amnesia of a self-propelled particle
• Statistical self-organization of a gas of interacting walking drops in a confining potential
• Damped-driven system of bouncing droplets leading to deterministic diffusive behavior
• Bragg's reflection for walking droplets in 1D crystals