Adiabatic focusing of cold atoms in a blue-detuned laser standing wave is a
nalyzed. It is shown that using repulsive light forces that push atoms towa
rds dark regions and thus minimizes heating, cold atoms can be adiabaticall
y compressed by more than an order of magnitude to yield background-free su
b-10-nm (rms) spots. The optimal parameters for the atomic lens and the max
imal compression ratio ale predicted using an analytic model and found to b
e in agreement with the exact results of our Monte Carlo simulations. A com
bined adiabatic-coherent scheme is proposed and shown to yield 8.8 nm spot
size even for a thermal atomic beam.