The presence of resonances modifies the passage of light or of electro
ns through a disordered medium. We generalize random-matrix theory to
account for this effect. Using supersymmetry, we calculate analyticall
y the mean density of states and the effective Lagrangian of the gener
ating functional for the two-point function. We show that the diffusio
n constant scales with the effective mean level spacing. The latter ex
hibits a resonance dip. These facts allow us to interpret experimental
results on light scattering for different concentrations of resonant
scatterers.