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

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

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5.6. Rotation-measure bands from compression 91<br />

(a)<br />

(b)<br />

(c)<br />

(d)<br />

Figure 5.7: Plots of the RM structure functions for the isotropic sub-regions of 0206+35,3C 353<br />

and 3C 270 described in the text. The horizontal bars represent the bin width and the crosses<br />

the centroids for data included in the bins. The red lines are the pre<strong>di</strong>ctions for power law<br />

power spectra, inclu<strong>di</strong>ng the effects of the convolving beam. The vertical error bars are the<br />

rms variations for the structure functions derived for multiple realizations of the data. The fitted<br />

structure functions for 3C 270 are derived for the same power spectrum parameters.<br />

for the other sources.<br />

In this section, I investigate how the RM could be affected by compression. I consider a<br />

deliberately oversimplified picture in which the ra<strong>di</strong>o source expands into an IGM with an initially<br />

uniform magnetic field, B. This is the most favourable situation for the generation of large-scale,<br />

anisotropic RM structures: in reality, the pre-existing field is likely to be highly <strong>di</strong>sordered, or<br />

even isotropic, because of turbulence in the thermal gas. I stress that I have not tried to generate a<br />

self-consistent model for the magnetic field and thermal density, but rather to illustrate the generic<br />

effects of compression on the RM structure.<br />

In this model the ra<strong>di</strong>o lobe is an ellipsoid with its major axis along the jet and is surrounded<br />

by a spherical shell of compressed material. This shell is centred at the mid-point of the lobe<br />

(Fig. 5.8) and has a stand-off <strong>di</strong>stance equal to 1/3 of the lobe semi-major axis at the lea<strong>di</strong>ng<br />

91

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