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We investigate the possibility for the SKA to detect and study the magneticfields in galaxy clusters and in the less dense environments surrounding themusing Faraday Rotation Measures. To this end, we produce 3-dimensional magneticfield models for galaxy clusters of different masses and in different stages oftheir evolution, and derive mock rotation measure observations of backgroundradiogalaxies. According to our results, already in phase I, we will be able toinfer the magnetic field properties in galaxy clusters as a function of thecluster mass, down to $10^{13}$ solar-masses. Moreover, using cosmologicalsimulations to model the gas density, we have computed the expected rotationmeasure through shock-fronts that occur in the intra-cluster medium duringcluster mergers. The enhancement in the rotation measure due to the densityjump will permit to constraint the magnetic field strength and structure afterthe shock passage. SKA observations of polarised sources located behind galaxyclusters will answer several questions about the magnetic field strength andstructure in galaxy clusters, and its evolution with cosmic time.

Unravelling the origin of large-scale magnetic fields in galaxy clusters and beyond through Faraday Rotation Measures with the SKA