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A critical challenge in the observation of the redshifted 21-cm line is itsseparation from bright Galactic and extragalactic foregrounds. In particular,the instrumental leakage of polarized foregrounds, which undergo significantFaraday rotation as they propagate through the interstellar medium, mayharmfully contaminate the 21-cm power spectrum. We develop a formalism todescribe the leakage due to instrumental widefield effects in visibility-basedpower spectra measured with redundant arrays, extending the delay-spectrumapproach presented in Parsons et al. (2012). We construct polarized sky modelsand propagate them through the instrument model to simulate realistic full-skyobservations with the Precision Array to Probe the Epoch of Reionization. Wefind that the leakage due to a population of polarized point sources isexpected to be higher than diffuse Galactic polarization at any $k$ mode for a30~m reference baseline. For the same reference baseline, a foreground-freewindow at $k > 0.3 \, h$~Mpc$^{-1}$ can be defined in terms of leakage fromdiffuse Galactic polarization even under the most pessimistic assumptions. Ifmeasurements of polarized foreground power spectra or a model of polarizedforegrounds are given, our method is able to predict the polarization leakagein actual 21-cm observations, potentially enabling its statistical subtractionfrom the measured 21-cm power spectrum.

Constraining Polarized Foregrounds for EOR Experiments II: Polarization Leakage Simulations in the Avoidance Scheme