The effect of solvent quality on a layer of end-grafted polymers is de
termined using the random phase approximation combined with a numerica
l mean field analysis. For sufficiently poor solvents, the laterally h
omogeneous grafted layer is linearly unstable to fluctuations tangenti
al to the grafting plane. In the unstable regime, the grafted layer fo
rms a ''dimpled'' surface in which the depth and separation of the dim
ples depend on chain length, solvent quality, and grafting density.