  The solutions of the London equations for the magnetic field expulsion from
superconductors are presented in this paper for the cylindrical symmetry. The
result is analyzed in detail and represented numerically for the case of a
uniform external magnetic field in the transverse plane. In particular, several
contour plots of the magnetic energy density are depicted for the regions
inside and around the superconducting area for a wide range of penetration
lengths, showing how the expulsion and penetration of the magnetic field evolve
with the ratio between the penetration length and the cylinder radius.
