  Time-resolved mapping of lattice dynamics in real- and momentum-space is
essential to understand better several ubiquitous phenomena such as heat
transport, displacive phase transition, thermal conductivity, and many more. In
this regard, time-resolved diffraction and microscopy methods are employed to
image the induced lattice dynamics within a pump-probe configuration. In this
work, we demonstrate that inelastic scattering methods, with the aid of
theoretical simulation, are competent to provide similar information as one
could obtain from the time-resolved diffraction and imaging measurements. To
illustrate the robustness of the proposed method, our simulated result of
lattice dynamics in germanium is in excellent agreement with the time-resolved
x-ray diffuse scattering measurement performed using x-ray free-electron laser.
For a given inelastic scattering data in energy and momentum space, the
proposed method is useful to image in-situ lattice dynamics under different
environmental conditions of temperature, pressure, and magnetic field.
Moreover, the technique will profoundly impact where time-resolved diffraction
within the pump-probe setup is not feasible, for instance, in inelastic neutron
scattering.
