In the framework of Rayleigh’s description, we have investigated the eigenfrequencies of the capillary waves of a nonwetting droplet under forced oscillations (pointlike force). The theoretical model using the spherical harmonics $Y_{\ell ,m}(\theta ,\phi )$ as a part of the solution of the Laplace equation, is in good agreement with the experimental results. This model can be generalized for all kinds of excitations with a sitting or a levitating droplet due to the decomposition of the excitation on the spherical harmonics basis. From this study, a different theoretical way of interpreting droplet bouncing is presented motivating a wide range of industrial applications.

• Received 17 September 2004

DOI:https://doi.org/10.1103/PhysRevE.73.045301