  Coherent illumination reflected by a remote target may be secondarily
scattered by intermediate objects or materials. Here we show that phase
retrieval on remotely observed images of such scattered fields enables imaging
of the illuminated object at resolution proportional to $\lambda R_s/A_s$,
where $R_s$ is the range between the scatterer and the target and $A_s$ is the
diameter of the observed scatter. This resolution may exceed the resolution of
directly viewing the target by the factor $R_cA_s/R_sA_c$, where $R_c$ is the
range between the observer and the target and $A_c$ is the observing aperture.
Here we use this technique to demonstrate $\approx 32\times$ resolution
improvement relative to direct imaging.
