  We describe a gyroscope that measures rotation based on the effects of the
rotation on the polarization of light. Rotation induces a differential phase
shift in the propagation of left and right circularly polarized light and this
phase shift can be measured in suitably designed interferometric setups. The
signal in this setup is independent of the frequency of light, unlike various
sources of noise such as vibrations, which cause phase shifts that depend on
the frequency. Such vibrations are the practical limit on the sensitivity of
conventional Sagnac-style optical interferometers that are typically used as
gyroscopes. In the proposed setup, one can potentially mitigate this source of
noise by simultaneously using two (or more) sources of light that have
different frequencies. The signal in this setup scales with the total storage
time of the light. Due to its frequency independence, it is thus most optimal
to measure the signal using superconducting RF systems where the high finesse
of the available cavities enables considerably longer storage times than is
possible in an optical setup.
