  Neutron direct-geometry time-of-flight chopper spectroscopy is instrumental
in studying fundamental excitations of vibrational and/or magnetic origin. We
report here that techniques in super-resolution optical imagery (which is in
real-space) can be adapted to enhance resolution and reduce noise for a neutron
spectroscopy (an instrument for mapping excitations in reciprocal space). The
procedure to reconstruct super-resolution energy spectra of phonon density of
states relies on a realization of multi-frame registration, accurate
determination of the energy-dependent point spread function, asymmetric nature
of instrument resolution broadening, and iterative reconstructions. Applying
these methods to phonon density of states data for a graphite sample
demonstrates contrast enhancement, noise reduction, and ~5-fold improvement
over nominal energy resolution. The data were collected at three different
incident energies measured at the Wide Angular-Range Chopper Spectrometer at
the Spallation Neutron Source.
