Cavity pattern formation and cavity solitons with incoherent light

We show that patterns and solitons can form when spatially and temporally incoherent light circulates in a passive nonlinear cavity with noninstantaneous medium. The pattern formation process is always associated with two consecutive thresholds. The first (instability) threshold is unaffected by the cavity boundary conditions, whereas the second threshold is induced by the feedback through the interplay of nonlinear gain and cavity loss.