On the response of the Taiji microresonator against small perturbation of the counter propagating mode

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.

Automated summary

This study investigates the eigenvalues and eigenvectors of a taiji microresonator, showing that it operates at an exceptional point and has a higher sensitivity to perturbations compared to typical microresonators. The behavior of counterpropagating modes induces a unique splitting of Lorentzian transmission spectra, proportional to the square root of perturbation strength.