  We show that anomalous dispersion characteristic of fast-light can be used to
enhance the sensitivity of optical interferometry under certain conditions. In
particular, we show that a dual-chamber Fabry-Perot interferometer with a
shared mirror-pair can be used in a way so that its sensitivity is increased by
operating near the critically anomalous dispersion condition where the group
index is much less than unity. The enhancement factor can be as high as 108 for
realistic conditions. The process of bi-frequency pumped Raman gain in a
lambda-type atomic medium can be used to achieve this effect.
