  Resolvent analysis has demonstrated encouraging results for modeling coherent
structures in jets when compared against their data-educed counterparts from
high-fidelity large-eddy simulations (LES). We formulate resolvent analysis as
an acoustic analogy that relates the near-field resolvent forcing to the near-
and far-field pressure. We use an LES database of round, isothermal, Mach 0.9
and 1.5 jets to produce an ensemble of realizations for the acoustic field that
we project onto a limited set of resolvent modes. In the near-field, we perform
projections on a restricted acoustic output domain, $r/D = [5,6]$, while the
far-field projections are performed on a Kirchhoff surface comprising a
100-diameter arc centered at the nozzle. This allows the LES realizations to be
expressed in the resolvent basis via a data-deduced, low-rank, cross-spectral
density matrix. We find that a single resolvent mode reconstructs the most
energetic regions of the acoustic field across Strouhal numbers, $St = [0-1]$,
and azimuthal wavenumbers, $m=[0,2]$. Finally, we present a simple function
that results in a rank-1 resolvent model agreeing within 2dB of the peak noise
for both jets.
