The properties of very powerful extended (FR II) radio sources can be
used to probe their gaseous environments. In particular, the velocity
of lobe propagation and the lobe minimum energy magnetic held may be u
sed to estimate the density of the ambient gas around a given source,
A sample of 14 radio galaxies and eight radio-lend quasars with redshi
fts from 0 to 2 are studied in detail. The radio data are used to esti
mate the lobe magnetic field and the lobe propagation velocity. These
are combined to obtain an estimate of the ambient gas density in the v
icinity of the radio lobe using the equation of ram pressure confineme
nt; generally, two densities are obtained for each source, one for eac
h radio lobe. Several possible selection effects are studied in detail
, Including the power-redshift selection effect that arises from the f
act that the sample is flux limited, and the correlation of radio spec
tral index with redshift. The key result is that the sources are in ga
seous environments similar to those found in low-redshift clusters of
galaxies, One of the sources in this study is Cygnus A, and the gaseou
s environments of the sources studied seem to be similar to that in th
e vicinity of this low-redshift, very powerful extended radio source.
Not only are the typical densities obtained similar to those found in
low-redshift clusters, but the composite density profile is as well. T
hus, it appears that these sources lie in cluster-like gaseous environ
ments, though the sources are observed out to relatively large redshif
t, having redshifts between 0 and 2. There is some evidence that the c
ore density of the gaseous environments about the sources evolves with
redshift in the sense that higher redshift systems have lower core ga
s densities, but the data are consistent with a constant core gas mass
model in which the core density decreases and the core radius increas
es with redshift in such a way that the total core gas mass remains ro
ughly constant. It does not seem likely that this result is related to
the radio power-redshift selection effect, but it could be related to
the radio spectral index-redshift selection effect, and a study of th
is and other selection effects is continuing. When a simple correction
is applied to account for the radio spectral index-redshift selection
effect, the negative evolution of the core gas density with redshift
is only significant at about the 2 sigma level. Several independent ob
servations now indicate that powerful extended radio sources have magn
etic field strengths that are lower than estimated minimum energy fiel
d strengths. Three independent measures of the offset of the magnetic
field from that estimated assuming minimum energy conditions are discu
ssed here and in a companion paper. Consistency between independent me
asures of the same quantity is obtained if the true magnetic field str
ength has an offset of about 0.25 from the minimum energy field, a res
ult consistent with that obtained by other groups. In addition, the da
ta presented here can be used to place a limit on the source-to-source
dispersion of the offset. It is shown that most sources probably have
a very similar offset; the source-to-source dispersion in the offset
is likely to be less than about 15%.