Density of states oscillations in a ferromagnetic metal in contact with a superconductor

It is demonstrated that in a ferromagnetic metal near the boundary with a superconductor the local density of states at energies close to the Fermi energy EF has a damped-oscillatory behavior similar to the decaying of the Cooper's pail. density. However at energies E-F+/-I (where I is the exchange field in the ferromagnet) the decaying length is strongly increased and the proximity effect becomes a long-ranged one.