  We have developed a conceptual design for an Active Fast Light Fiber Optic
Sensor (AFLIFOS) that can perform simultaneously or separately as a gyroscope
(differential mode effect) and a sensor for acceleration, strain, and other
common mode effects. Two Brillouin lasers in opposite directions and separated
in frequency by several free spectral ranges are used for this sensor. By
coupling two auxiliary resonators to the primary fiber resonator, we produce
superluminal effects for two laser modes. We develop a detailed theoretical
model for optimizing the design of the AFLIFOS, and show that the enhancement
factor of the sensitivity is $\sim{187}$ and $\sim{-187}$, respectively for the
two Brillouin lasers under the optimized condition, when the effective change
in perimeter of the primary fiber resonator is 0.1nm, corresponding to a
rotation rate of 0.4 deg/sec for a ring resonator with radius 1m. It may be
possible to get much higher enhancement by adjusting the parameters such as the
perimeters and the coupling coefficients.
