A synchrotron-like pumped ring resonator for water waves

TL;DR

This paper introduces a novel water wave resonator inspired by synchrotrons, demonstrating efficient generation and amplification of large traveling water waves in a closed loop, with potential applications in hydraulics and coastal engineering.

Contribution

The study presents the concept of a synchrowave, a closed-loop water wave generator with synchronized wavemakers, extending synchrotron resonance principles to water wave systems.

Findings

Successfully generated large traveling water waves in a closed channel.

Demonstrated flat response in long-wave limit.

Quantified wave generation performance and damping mitigation.

Abstract

The wave-like behaviour of matter in quantum physics has spurred insightful analogies between the dynamics of particles and waves in classical systems. In this study, drawing inspiration from synchrotrons that resonate to accelerate ions along a closed path, we introduce the concept of a synchrowave: a waveguide designed to generate and sustain travelling water waves within a closed annular channel. In analogy to unavoidable energy losses in conventional particle accelerators due to electromagnetic radiation and inelastic collisions, the system displays undesired water-wave dampening, which we address through the synchronised action of underwater wavemakers. Our analogies extend the resonance mechanisms of synchrotrons to generate gravity waves in closed waveguides efficiently. A proof-of-concept experiment at a laboratory scale demonstrates the unique capability of this technique to build up anomalously large travelling waves displaying a flat response in the long-wave limit. Besides quantifying the performance of wave generation, our findings offer a framework for both industrial and computational applications, opening up unexplored possibilities in hydraulics, coastal science and engineering. In a broader context, our experimental apparatus and methods highlight the versatility of a simple yet powerful concept: a closed-path continuous-energy-pumping scheme to effectively harvest prominent resonant responses within wave-supporting systems displaying weak dissipation.