Proximity effect in the asymmetrical incommensurable ferromagnet/superconductor/ferromagnet trilayer

In this report the original theory of a proximity effect is proposed for the ferromagnet/superconductor/ferromagnet (F1/S/F2) trilayer. The distinctions in ferromagnetic metals (F1 and F2), in their thicknesses of (dF1 and dF2), in the transparencies of F1/S and S/F2 interfaces, and so on are reviewed among the causes of incommensurability of system. The quasiclassical approach of Usadel equations for dirty limit case is used to find critical temperature Tc. The peculiar Tc(dF1, dF2) interference pattern is predicted for the F1/S/F2 systems with disproportionate thicknesses dF1 and dF2. The possible applications to an observability of the spin-valve regime are discussed.