  We theoretically investigate the scattering process of Bogoliubov excitations
on a rotating photon-fluid. Using the language of Noether currents we
demonstrate the occurrence of a resonant amplification phenomenon, which
reduces to the standard superradiance in the hydrodynamic limit. We make use of
a time-domain formulation where superradiance emerges as a transient effect
encoded in the amplitudes and phases of propagating localised wavepackets. Our
findings generalize previous studies in quantum fluids to the case of a
non-negligible quantum pressure and can be readily applied also to other
physical systems, in particular atomic Bose-Einstein condensates. Finally we
discuss ongoing experiments to observe superradiance in photon fluids, and how
our time domain analysis can be used to characterise superradiant scattering in
non-ideal experimental conditions.
