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We present the preliminary results of our study of the Farada y rotation structure of the parsecscale jet of BL Lac. During the years 2002-2004 we obtained se ven pochs of VLBA observations of BL Lac at 8, 15, 22, and 43 GHz. We constructed rotatio n measure maps across the core and jet regions of the radio image for each epoch. The obs rvations were accompanied by phase-referencing on nearby radio sources to enable us to tr ack the position of the core at different epochs. We study variability of the rotation measure and correlations between the rotation measure and other properties of the jet. We find evidence that the Faraday rotation in the core is external, possibly in a sheath, due to a correlation betwe n polarized emission and rotation measure.

A Faraday rotation study of parsec-scale jet of BL Lac