  The magnetic field of vortices in anisotropic superconducting films is
considered in the framework of anisotropic London approach. It is found that at
distances large relative to the core size, the magnetic field normal to the
film surface may change sign.
  We find that the magnetic field attenuates at large distances as $1/r^3$ as
it does in isotropic films, but the anisotropy induces an angular dependence to
the supercurrents which causes the sign of the field to change for anisotropy
parameters $\gamma=\lambda_2/\lambda_1>\sqrt{2}$ in some parts of the $(x,y)$
plane.
