Abstract:
We study experimentally
three-wave interactions between hydroelastic waves propagating
on the surface of a fluid covered by an elastic sheet (where
both tension and bending are important). We observe the
generation of a resonant daughter wave by nonlinear interaction
among two mother waves of almost perpendicular directions. By
using local and spatiotemporal wave-height measurements, the
frequency and wave vector of the daughter wave are found to
satisfy the resonance conditions within the measurement
accuracy. Its amplitude is also found to be reasonably well
described by the resonant wave interaction theory. Finally, a
phase-locking among interacting waves is also observed, as
expected theoretically.