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We report on a detailed study of the optical response and $T_c-\rho$ phasediagram ($T_c$ being the superconducting critical temperature and $\rho$ thenormal state resistivity of the film) of granular aluminum, combining transportmeasurements and a high resolution optical spectroscopy technique. The$T_c-\rho$ phase diagram is discussed as resulting from an interplay betweenthe phase stiffness, the Coulomb repulsion and the superconducting gap$\Delta$. We provide a direct evidence for two different types of well resolvedsub-gap absorptions, at $\omega_1\simeq\Delta$ and at$\Delta\lesssim\omega_2\lesssim2\Delta$ (decreasing with increasingresistivity).

Electrodynamics of granular aluminum from superconductor to insulator: observation of collective superconducting modes