  Transport of coherent waves in multiple-scattering media may exhibit
fundamental, non intuitive phenomena such as halt of diffusion by disorder
called Anderson localization. For electromagnetic waves, this phenomenon was
observed only in one and two dimensions so far. However, none of these
experiments studied the contribution of reciprocal paths nor their manipulation
by external fields. In order to weaken the effect of reciprocity of coherent
wave transport on Anderson localization in one dimension (1D), we studied light
propagation through stacks of parallel Faraday-active glass slides exposed to
magnetic fields up to 18 Tesla. Measurements of light transmission statistics
are presented and compared to 1D transfer-matrix simulations. The latter
reveals a self-organization of the polarization states in this system leading
to a saturation of the Faraday rotation-induced reciprocity breaking, an
increase of the localization length, and a decrease of transmission
fluctuations when reciprocity is broken. This is confirmed experimentally for
samples containing small numbers of slides while for larger samples a crossover
from a 1D to a quasi-1D transport regime is found.
