An apparatus for reducing the optical Kerr effect in a Brillouin fiber optic gyroscope having an optical loop and a pump source that introduces counterpropagating pump light waves into said loop, said counterpropagating pump light waves providing counterpropagating Brillouin light waves in said loop, each of said counterpropagating Brillouin light waves providing a cross-Kerr effect on the other counterpropagating Brillouin light waves, said cross-Kerr effect being twice a self-Kerr effect, said apparatus comprising:
- an intensity modulator which modulates said counterpropagating Brillouin light waves in said loop at a substantially 50-percent duty cycle so that each of said counterpropagating light waves experiences one-half the cross-effect from the other of said counterpropagating light waves;
- and
- a modulator that modulates said pump light waves with a waveform selected to cause said pump light waves to have frequency components at predetermined intensities, said predetermined intensities selected such that the Brillouin light generated by said frequency components have intensities of the correct magnitudes to generate said counterpropagating Brillouin light waves.