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Numerical simulations offer the unique possibility to forecast the results ofsurveys and targeted observations that will be performed with next generationinstruments like the Square Kilometre Array. In this paper, we investigate forthe first time how future radio surveys in polarization will be affected byconfusion noise. To do this, we produce 1.4 GHz simulated full-Stokes images ofthe extra-galactic sky by modelling various discrete radio sources populations.The results of our modelling are compared to data in the literature to checkthe reliability of our procedure. We also estimate the number of polarizedsources detectable by future surveys. Finally, from the simulated images weevaluate the confusion limits in I, Q, and U Stokes parameters, givinganalytical formulas of their behaviour as a function of the angular resolution.

Simulations of the polarized radio sky and predictions on the confusion limit in polarization for future radio surveys