Resolution limits for imaging through turbid media with diffuse light

We present analytic expressions for the achievable resolution for imaging through a turbid medium with multiply scattered light in the diffusion limit. We find that for detectable levels of light the spatial resolution ℛ (the half-width of the point-spread function) scales with thickness d of the sample as ℛ ≃ (0.2 ± 0.04)d over 10 orders of magnitude in input intensity and transport length. Experiments with a time-gated stimulated Raman amplifier are in good agreement with the calculations.