  Recent models for the emission clouds within the Broad Line Region of quasars
suggest that they are due to transient overdensities within an overall
turbulent medium. If this were the case, the broad line emission would
spatially appear fractal, possessing structure on a range of scales. This paper
examines the influence of such fractal structure when a quasar is microlensed
by a population of intervening masses. It is found that while the highest
fractal levels can undergo significant microlensing magnification, when these
light curves are superimposed to create an emission line profile, the resultant
emission line profile remains relatively constant for physical models of the
Broad Line Region. It is concluded that the detection of the possible fractal
structure of Broad Line Regions via gravitational microlensing is not
practical.
