http://arxiv.org/abs/1503.01644
Detection of the cosmological 21-cm signal coming from the epoch of reionization (EoR) is challenging in the presence of astrophysical foregrounds and direction (in)dependent systematic errors of the instrument. Even after removing the foregrounds, the residual Stokes I maps contain, in addition to the system noise, the polarized foreground leaked from Stokes Q, U due to systematic and random errors which can mimic the EoR signal. Here we discuss the systematic errors, especially the primary beam, of LOFAR and present realistic simulations of the leakages caused by them. We made a Stokes Q, U sky model of the Galactic diffuse emission based on the LOFAR observations of the 3C196 field, simulated the full-Stokes visibilities that would be produced by LOFAR in the presence of its nominal model beam, created RM-cubes and the cylindrically and spherically averaged 3D power spectra (PS), and compared them with the PS of a simulated EoR signal. From the spherical PS, we found that at 134-166 MHz, within the central 4 deg of the field the (Q, U ) to I leakage power is lower than the EoR signal at k < 0.3 /Mpc. The leakage was found to be localized around a Faraday depth of 0, and in the cylindrical PS, the rms of the leakage as a fraction of the rms of the polarized emission was shown to vary between 0.2-0.3%, both of which could be utilized in the removal of leakage. Moreover, we could define an ‘EoR window’ in terms of the polarization leakage in the cylindrical PS above the PSF-induced wedge and below $k_\parallel\sim 0.5$ /Mpc, and the window extended up to $k_\parallel\sim 1$ /Mpc at all $k_\perp$ when 70% of the leakage had been removed. These LOFAR results show that even a modest polarimetric calibration over a field of view of $\lesssim$ 4 deg in the future arrays like SKA will ensure that the polarization leakage remains well below the expected EoR signal at the scales of 0.02-1 /Mpc.
K. Asad, L. Koopmans, V. Jelic, et. al.
Fri, 6 Mar 15
22/51
Comments: 19 pages, 13 figures. Submitted to MNRAS
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