  We investigate the superconducting proximity effect in a clean magnetic
structure consisting of two ferromagnetic layered domains with antiparallel
magnetizations in contact with a superconductor. Within the quasiclassical
Green's function approach we find that the penetration of the superconducting
correlations into the magnetic domains can be enhanced as compared to the
corresponding single domain structure. This enhancement depends on an effective
exchange field which is determined by the thicknesses and the exchange fields
of the two domains. The pair amplitude function oscillates spatially inside
each domain with a period inversely proportional to the local exchange field.
While the oscillations have a decreasing amplitude with distance inside the
domain which is attached to the superconductor, they are enhancing in the other
domain and can reach the corresponding normal metal value for a zero effective
exchange field. We also find that the corresponding oscillations in the Fermi
level proximity density of states as a function of the second domain's
thickness has an growing amplitude over a range which depends on the effective
exchange field. Our findings can be explained as the result of cancellation of
the exchange fields induced phases gained by an electron inside the two domains
with antiparallel magnetizations.
