Relation to rotation measure and polarization data
Kim et al. (1990) and Kim et al. (1991) derived magnetic field
properties from RM observations. The excess RM due to a magnetic field
in the intracluster gas gives a measurement of the quantity
B^2r_0. To derive the magnetic field strength B or
the scale length of the field r_0 requires another measurement
of a different combination of these two quantities. Radio source
depolarization is one possibility (Tribble 1991). The observation of
granularity in a radio halo is another that I consider here. The
observations require that r_0< 15 kpc. This scale length
differs from that used in the RM analysis which is r_0' =
f
dz; the two are related by a factor of order unity. If
f is Gaussian then r_0' = (2)
r_0 so the limit translates to r_0' < 40 kpc.
Even for this relatively weak limit on the scale length of the field
the magnetic field in the Coma cluster is still required to have an rms
strength exceeding 1.
No polarized emission has been detected from the halo. Kim et al. (1990)
report that the polarization at 20 cm and 1 arcmin resolution
varies from less than 1% at the centre to less than 30% in the outer
halo. As discussed in Section 2.1, the simplest models predict that the
halo polarization should be about the same as the intensity contrast,
so that polarization at about the 5% level might be expected. This is
not observed and one might be tempted to conclude that the intensity
contrast is really only about 1%. Unfortunately this conclusion is not
very robust, as both galactic wakes and dynamo fields give low levels
of polarization. In the case of the dynamo field, the field is wound
into ropes from which the polarization cancels by symmetry---the same
would be true of a single turbulent vortex.
Up to:
___________________________________
Peter Tribble, peter.tribble@gmail.com