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We present stacking polarized intensity as a means to study the polarizationof sources that are too faint to be detected individually in surveys ofpolarized radio sources. Stacking offers not only high sensitivity to themedian signal of a class of radio sources, but also avoids a detectionthreshold in polarized intensity, and therefore an arbitrary exclusion ofsource with a low percentage of polarization. Correction for polarization biasis done through a Monte Carlo analysis and tested on a simulated survey. Weshow that the non-linear relation between the real polarized signal and thedetected signal requires knowledge of the shape of the distribution offractional polarization, which we constrain using the ratio of the upperquartile to the lower quartile of the distribution of stacked polarizedintensities. Stacking polarized intensity for NVSS sources down to thedetection limit in Stokes I, we find a gradual increase in median fractionalpolarization that is consistent with a trend that was noticed before for brightNVSS sources, but is much more gradual than found by previous deep surveys ofradio polarization. Consequently, the polarized radio source counts derivedfrom our stacking experiment predict fewer polarized radio sources for futuresurveys with the Square Kilometre Array and its pathfinders.

Degree of Polarization and Source Counts of Faint Radio Sources from Stacking Polarized Intensity