Deep-water gravity wave
= Deep-water gravity wave
A small-amplitude deep-water wave with surface elevation $\eta=Ae^{i(kx-\omega t)}$ has dispersion relation $\omega^2=gk$ and a velocity potential that decays as $e^{kz}$ below the surface.
= Deep-water gravity wave
A small-amplitude deep-water wave with surface elevation $\eta=Ae^{i(kx-\omega t)}$ has dispersion relation $\omega^2=gk$ and a velocity potential that decays as $e^{kz}$ below the surface.