  Collisionless shocks play an important role in space and astrophysical
plasmas by irreversibly converting the energy of the incoming supersonic plasma
flows into other forms, including plasma heat, particle acceleration, and
electromagnetic field energy. Here we present the application of the
field-particle correlation technique to an idealized perpendicular magnetized
collisionless shock to understand the transfer of energy from the incoming flow
into ion and electron energy through the structure of the shock. The connection
between a Lagrangian perspective following particle trajectories, and an
Eulerian perspective observing the net energization of the distribution of
particles, illuminates the energy transfer mechanisms. Using the field-particle
correlation analysis, we identify the velocity-space signature of shock-drift
acceleration of the ions in the shock foot, as well as the velocity-space
signature of adiabatic electron heating through the shock ramp.
