  The coherent image distortions induced by weak gravitational lensing can be
used to measure the power spectrum of density inhomogeneities in the universe.
We present our on-going effort to detect this effect with the FIRST radio
survey, which currently contains about 400,000 sources over 4,200 square
degrees, and thus provides a unique resource for this purpose. We discuss the
sensitivity of our measurement in the context of various cosmological models.
We then discuss the crucial issue of systematic effects, the most serious of
which are source fragmentation, image-noise correlation, and VLA-beam
anisotropy. After accounting for these effects, we expect our experiment to
yield a detection, or at least a tight upper limit, for the weak lensing power
spectrum on 0.2-20 degree scales.
