The original theory of proximity effect in the layered ferromagnetic metal/
superconductor (FM/S) structures taking into account a finite transparency
of FM/S interface as well as a competition between ID and 3D Larkin-Ovchin-
nikov-Fulde-Ferrell (LOFF) states is developed. It is shown that the oscill
atory dependence of critical temperature T-c on the FM layer thickness di i
s due to oscillations of the Cooper pairs flux at the FM/S boundary. This e
ffect is possible not only in the FM/S multilayers, but in the FM/S bilayer
s as well. The phenomena of reentrant and periodically reentrant supercondu
ctivity in the FM/S bilayers and superlattices are predicted. The competiti
on between 1D and 3D LOFF states leads to significant smoothing of the T-c(
d(f)) dependence, so that in the most cases one maximum of this dependence
is realized as this has been observed in Gd/Nb and Fe/Nb/Fe. (C) 2000 Elsev
ier Science B.V. All rights reserved.