  This work is devoted to the stability/resolution analysis of several imaging
functionals in complex environments. We consider both linear functionals in the
wavefield as well as quadratic functionals based on wavefield correlations.
Using simplified measurement settings and reduced functionals that retain the
main features of functionals used in practice, we obtain optimal asymptotic
estimates of the signal-to-noise ratios depending on the main physical
parameters of the problem. We consider random media with possibly long-range
dependence and with a correlation length that is less than or equal to the
central wavelength of the source we aim to reconstruct. This corresponds to the
wave propagation regimes of radiative transfer or homogenization.
