In this work, we study the eigenvalues and eigenvectors of a taiji microresonator that is made by a ring cavity with an embedded S-shaped waveguide. Specifically, we demonstrated that this system works on an exceptional point. This strongly affects the behaviour against perturbation of the counterpropagating modes inducing a peculiar splitting of the single Lorentzian transmission spectra. Precisely, we show that this splitting is proportional to the square root of the perturbation strength. Therefore, the taiji exhibits a higher sensitivity to a small perturbation with respect to a typical microresonator which shows a linear splitting.
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