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Characterization of the first ever laboratory produced metallic hydrogensample relies on measurements of optical spectra. Here we presentfirst-principles calculations of the reflectivity of hydrogen between 400 and600 GPa in the $\mathrm{I4_1/amd}$ crystal structure, the one predicted atthese pressures, based on both time-dependent density functional and Eliashbergtheories, thus, covering the optical properties from the infrared to theultraviolet regimes. Our results show that atomic hydrogen displays aninterband plasmon at around 6 eV that abruptly suppresses the reflectivity,while the large superconducting gap energy yields a sharp decrease of thereflectivity in the infrared region approximately at 120 meV. Theexperimentally estimated electronic scattering rates in the 0.7-3 eV range arein agreement with our theoretical estimations, which show that the hugeelectron-phonon interaction of the system dominates the electronic scatteringin this energy range. The remarkable features in the optical spectra predictedhere encourage to extend the existing optical measurements to the infrared andultraviolet regions.

Strong electron-phonon and band structure effects in the optical properties of high pressure metallic hydrogen