Methods and apparatus are provided for attenuating polarization errors in ring resonators of fiber optic gyros. A ring resonator is provided having first and second resonance frequencies and comprising an optical fiber coil having a hollow core and first and second ends, a light beam generator coupled to the optical fiber coil and configured to generate first and second counter-propagating beams in the hollow core, and a light recirculator coupled to the first and second ends of the optical fiber coil and configured to direct a first light beam exiting the first end of the optical fiber coil into the second end of the optical fiber coil. The first light beam is based on one of the first and second counter-propagating beams. The light recirculator comprises a first polarizing unit configured to reflect a first polarized component of the first light beam and further configured to extract a second polarized component of the first light beam.