1. Introduction
Observations of galaxy clusters in the radio regime have revealed low surface brightness and large-scale non-thermal emission up to Mpc-scales associated with some galaxy clusters. These radio sources are known as radio halos and relics and share some observational properties: they have steep synchrotron spectra and are characterised by low surface brightness emission ( Jy arcsec=). Radio halos are unpolarised and located towards the centre of the host galaxy cluster, whilst relics are highly polarised and reside on the periphery of the galaxy cluster.