Much interest has been generated recently by the ongoing MACHO, EROS a
nd OGLE projects to identify gravitationally lensed stars from the Lar
ge Magellanic Cloud and Galactic bulge, and the positive identificatio
n of several events (Alcock et al., (1993), Aubourg et al., (1993) and
Udalski et al., (1993)). The rate at which such events are found shou
ld provide considerable information about the distribution of the low
mass compact objects, brown dwarfs etc. responsible for the lensing, a
nd their relative importance as a component of the cosmological 'dark
matter'. We show measurement of the polarisation of starlight during t
hese events can yield considerably more information about the lensing
objects than was previously considered possible. Furthermore, the cons
ideration of extended sources is shown to have a significant effect on
the interpretation of the profiles and statistics of the events.