We investigate the Sagnac effect in the self-interference add–drop resonator (SIADR), and propose a rotation sensing frame based on the SIADR. The Sagnac effect in an SIADR can be equivalent to that in a two-resonator structure without the detuning between the two resonators. Two optical waves are spontaneously formed in the SIADR, and their interference signal carries the information of angular velocity. Distinguishing the direction of angular velocity can be achieved by setting asymmetrical coupling coefficients in the SIADR. We also show the rotation sensing experimental results in the SIADR made of single mode fiber, which are in good agreement with the theoretical results. The results may open new avenues for rotation sensing.
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