We investigate the influence of the exchange field on the Andreev bound sta
tes in a ferromagnetic (F) film backed on one side by a superconductor (S).
Our model accounts for diffusive reflection at the outer surface and possi
ble backscattering at the FS interface. Phase shifting of the Andreev level
by the exchange held results in an oscillatory behavior of the density of
states of F as a function of the layer thickness. We show that our results
agree quantitatively with recent experiments.