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Alma Mater Studiorum Universit`a degli Studi di Bologna ... - Inaf

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82 5. Ordered magnetic fields around ra<strong>di</strong>o galaxies<br />

Table 5.3: Frequencies, bandwidths and angular resolutions used in the RM and Burn law k images<br />

<strong>di</strong>scussed in Sects. 5.3 and 5.4, respectively.<br />

source ν ∆ν beam<br />

[MHz] [MHz] [arcsec]<br />

0206+35 1385.1 25 1.2<br />

1464.9 25<br />

4885.1 50<br />

3C 353 1385.0 12.5 1.3<br />

1665.0 12.5<br />

4866.3 12.5<br />

8439.9 12.5<br />

3C 270 1365.0 25 1.65<br />

1412.0 12.5<br />

4860.1 100<br />

1365.0 25 5.0<br />

1412.0 12.5<br />

1646.0 25<br />

4860.1 100<br />

M 84 1413.0 25 1.65<br />

4885.1 50<br />

1385.1 50 4.5<br />

1413.0 25<br />

1464.9 50<br />

4885.1 50<br />

shown by Laing & Bridle (1987), but is derived from four-frequency data and has a higher signalto-noise<br />

ratio.<br />

In the fainter regions of 0206+35 (for which only three frequencies are available and the<br />

signal-to-noise ratio is relatively low), the RM task occasionally failed to determine the nπ<br />

ambiguities in position angle correctly. In order to remove these anomalies, I first produced<br />

a lower-resolution, but high signal-to-noise RM image by convolving the 1.2 arcsec RM map<br />

to a beamwidth of 5 arcsec FWHM. From this map I derived the polarization-angle rotations at<br />

each of the three frequencies and subtracted them from the observed 1.2 arcsec polarization angle<br />

maps at the same frequency to derive the residuals at high resolution. Then, I fit the residuals<br />

without allowing any nπ ambiguities and added the resulting RM’s to the values determined at<br />

low resolution. This procedure allowed us to obtain an RM map of 0206+35 free of significant<br />

deviations fromλ 2 rotation and fully consistent with the 1.2-arcsec measurements.<br />

I have verified that the polarization angles accurately follow the relation∆Ψ∝λ 2 over the<br />

full range of position angle essentially everywhere except for small areas around the opticallythick<br />

cores: representative plots ofΨagainstλ 2 for 0206+35 are shown in Fig. 5.4. The lack of<br />

deviations fromλ 2 rotation in all of the ra<strong>di</strong>o galaxies is fully consistent with the assumption that<br />

the Faraday rotating me<strong>di</strong>um is mostly external to the sources.<br />

The RM maps are shown in Fig. 5.2. The typical rms error on the fit is≈2 rad m −2 . No<br />

82

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