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Abstract
We examine the vibration spectrum of smectic films both experimentally and theoretically. We show that the main energies involved in the dynamics are the capillarity, the stretching energy, when the films are curved, and the viscous dissipation between layers. We propose a theoretical treatment of the resonance spectrum for the family of the catenoid. When the capillarity plays the dominant role (smectic A or smectic C phase), there exists a continuous family of isospectral surfaces. When the film has some elasticity (smectic B phase), we predict a deviation of the resonances governed by the Gaussian curvature.