  It is shown that tailored breaking of the translational symmetry through weak
scattering in waveguides and optical fibers can control chromatic dispersions
of the individual modes at any order; thereby, it overcomes the problem of
coherent classical and quantum signal transmission at long distances. The
methodology is based on previously developed quantum control techniques and
gives an analytic solution in ideal scattering conditions; it has been also
extended to incorporate and correct non-unitary effects in the presence of weak
back-scattering. In practice, it requires scatterers able to couple different
modes and carefully designed dispersion laws giving a null average quadratic
dispersion in the spectral vicinity of the operational frequency.
