  In the present work we study an anisotropic layered superconducting film of
finite thickness. The film surfaces are considered parallel to the $bc$ face of
the crystal. The vortex lines are oriented perpendicular to the film surfaces
and parallel to the superconducting planes. We calculate the local field and
the London free energy for this geometry. Our calculation is a generalization
of previous works where the sample is taken as a semi-infinite superconductor.
As an application of this theory we investigate the flux spreading at the
superconducting surface.
