  The detection of filaments in the cosmic web will be crucial to distinguish
between the possible magnetogenesis scenarios and future large polarization
surveys will be able to shed light on their magnetization level. In this work,
we use numerical simulations of galaxy clusters to investigate their possible
detection. We compute the Faraday Rotation signal in intracluster filaments and
compare it to its surrounding environment. We find that the expected big
improvement in sensitivity with the SKA-MID will in principle allow the
detection of a large fraction of filaments surrounding galaxy clusters.
However, the contamination of the intrinsic Faraday Rotation of background
polarized sources will represent a big limiter to the number of objects that
can be significantly detected. We discuss possible strategies to minimize this
effect and increase the chances of detection of the cosmic web with the large
statistics expected from future surveys.
