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The polarization properties of radio sources powered by an Active GalacticNucleus (AGN) have attracted considerable attention because of the significanceof magnetic fields in the physics of these sources, their use as probes ofplasma along the line of sight, and as a possible contaminant of polarizationmeasurements of the cosmic microwave background. For each of theseapplications, a better understanding of the statistics of polarization inrelation to source characteristics is crucial. In this paper, we derive themedian fractional polarization, $\Pi_{0, \rm med}$, of large samples of radiosources with 1.4 GHz flux density $6.6 < S_{1.4} < 70$ mJy, by stacking 1.4 GHzNVSS polarized intensity as a function of angular size derived from the FIRSTsurvey. Five samples with deconvolved mean angular size 1.8" to 8.2" and twosamples of symmetric double sources are analyzed. These samples represent mostsources smaller than or near the median angular size of the mJy radio sourcepopulation We find that the median fractional polarization $\Pi_{0,\rm med}$ at1.4 GHz is a strong function of source angular size less than ~5" and a weakfunction of angular size for larger sources up to ~8". We interpret our resultsas depolarization inside the AGN host galaxy and its circumgalactic medium. Thecurvature of the low-frequency radio spectrum is found to anti-correlate with$\Pi_{0,\rm med}$, a further sign that depolarization is related to the source.

Properties of Compact Faint Radio Sources as a Function of Angular Size from Stacking