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Next generation radio telescope arrays are being designed and commissioned toaccurately measure polarized intensity and rotation measures across the entiresky through deep, wide-field radio interferometric surveys. Radiointerferometer dish antenna arrays are affected by direction-dependent (DD)gains due to both instrumental and atmospheric effects. In this paper wedemonstrate the effect of DD errors for parabolic dish antenna array on themeasured polarized intensities of radio sources in interferometric images. Wecharacterize the extent of polarimetric image degradation due to the DD gainsthrough wide-band VLA simulations of representative point source simulations ofthe radio sky at L-Band(1-2GHz). We show that at the 0.5 gain level of theprimary beam (PB) there is significant flux leakage from Stokes $I$ to $Q$, $U$amounting to 10\% of the total intensity. We further demonstrate that while theinstrumental response averages down for observations over large parallacticangle intervals, full-polarization DD correction is required to remove theeffects of DD leakage. We also explore the effect of the DD beam on theRotation Measure(RM) signals and show that while the instrumental effect isprimarily centered around 0 rad-m$^{-2}$, the effect is significant over abroad range of RM requiring full polarization DD correction to accuratelyreconstruct RM synthesis signal.

Direction Dependent Corrections in Polarimetric Radio Imaging I : Characterizing the effects of the primary beam on full Stokes imaging