We consider a simple model for a superlattice composed of a thin magnetic
film placed between two bulk superconductors. The magnetic film is modelled by
a planar but otherwise arbitrary distribution of magnetic dipoles and the
superconductors are treated in the London approximation. Due to the linearity
of the problem, we are able to compute the magnetic energy of the film in the
presence of the superconductors. We show that in the case of small wavenumbers
compared to the inverse London penetration depth, the magnetic energy resembles
the energy of a distribution of magnetisation in a two dimensional space.
Possible experimental applications of these results are discussed.Comment: RevTeX, 29 pages, 3 figures. To be published in Phys. Rev. B. Changes
were made (including adding fig. 3), to conform with the referee's report.
Reference 54 was also adde
