  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 forcing to the near-field
pressure field and the far-field acoustics. 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 observe substantial improvements to
the acoustic field reconstructions with the addition of a RANS-derived
eddy-viscosity model to the resolvent operator and 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.
