Ll. Richardson et al., POLARIMETRIC VERSUS PHOTOMETRIC VARIABILITY AND THE DENSITY OF WR STAR WIND INHOMOGENEITIES, Astronomy and astrophysics, 306(2), 1996, pp. 519-526
Intensive broad band observations of Wolf-Rayet (WR) stars by Moffat e
t al. reveal photometric and polarimetric fluctuations on timescales o
f hours, similar to the timescale of variation of narrow spectral feat
ures on emission lines. These are attributed to localised density enha
ncements (blobs) in the general wind. The r.m.s. fluctuations in the t
wo observing modes are found to be in the ratio R = sigma(pol)/sigma(p
hot) similar or equal to 0.05 whereas if both were due to electron sca
ttering of starlight in single optically thin blobs far from the star,
the ratio should be around unity. It has been suggested that the smal
lness of R may be attributed to cancellation of the polarisation contr
ibutions of sig significant numbers, N, of blobs emitted in different
directions. We prove that this explanation of the small sigma ratio is
untenable, by calculating the expected values of sigma(pol) and sigma
(phot) due to random fluctuations in N and in blob positions. This is
done analytically in a simplified case and numerically in the general
case. No value of N can yield the observed R. We conclude that the dis
crepancy must result from a substantial photometric contribution from
broad band light emitted in the blobs and/or substantial reduction in
the polarisation by multiple scattering in the blobs. Either explanati
on demands that the blobs be very dense, with n(e) greater than or sim
ilar to 5 x 10(13) cm(-3), when the blobs are at distances from the WR
centre of around 10(12) cm.