Fig. 1. (a) Simplified diagram of the device. The main cavity is composed of a ring-shaped WGM microresonator embedded with an S-shaped waveguide, while the auxiliary cavity involves a mechanical mode. (b) Working principle for the rotation detection in this ES system.

Fig. 2. (a) The variation of the output power at the drop terminal with Ω. An ideal narrow valley appears around ω_p = ω_c + Ω_m. The illustration in the upper left corner depicts a schematic diagram of the cavity optomechanical system based on the add–drop filter structure. The inset in the upper right corner further clearly shows the drop efficiency as a function of the probe laser frequency shift, where Δ = ω_p − ω₀. (b) The relationship between drop efficiency and Ω_s when the rotation occurs. The sign of Ω_s is positive (negative), which means the system rotates counterclockwise (clockwise).

Fig. 3. (a) Comparison of eigenfrequency splitting on the basis of γ between the ES-based gyroscope system (blue hollow circle) and the traditional gyroscope (red hollow diamond). To facilitate comparison, the eigenfrequency splitting value of the traditional gyroscope is magnified by a thousand-fold here. (b) Enhancement factors of the ES-based gyroscope system at different required rotational velocities. The value corresponding to η at the green dashed line is 1000.

Fig. 4. (a) The variation of the enhancement factor in the coupled parameter space. The white dashed line corresponds to the DP line with γ_RS = 0. When γ_RS ≠ 0, the system always works near the EP state. In this graph, Ω_s = 1 rad/s. (b) γ-based eigenfrequency splitting under different coupling parameters, with Ω_s = 5 rad/s, γ₁ = γ₂, and γ_RS = γ_SR.