Fig. 1. A two-cavity optomechanical system with a mechanical resonator interacted with two cavities. Two strong coupling fields (probe fields) with amplitudes and ( and ) are used to drive cavity and respectively. Meanwhile, the two cavities are linearly coupled to each other with coupling strength J双腔光力学系统示意图, 两光学腔通过光力相互作用与一个力学振子相耦合, 振幅为 和 ( 和 )的强耦合场 (探测场)分别从左右两侧驱动腔模 和 , 同时两腔模之间存在线性耦合相互作用J

Fig. 2. Transmission amplitudes (red line) and (black line) are plotted vs normalized detuning for different cavity damping rate: (a) =1/100; (b) =1/10; (c) =1; (d) =2. Other parameters: , and according to Eq. (16) 传输振幅 (红线)和 (黑线)在不同力学振子耗散速率下随着标准化失谐 的变化曲线　(a) =1/100; (b) =1/10; (c) =1; (d) =2; 其他参数: , 和 (见(16)式)

Fig. 3. Transmission amplitudes (red line) and (black line) are plotted vs normalized detuning for different mechancial damping rate: (a) =1/100; (b) =1/10; (c) =1; (d) =10. Other parameters: , and according to Eq. (16) 传输振幅 (红线)和 (黑线)在不同力学振子耗散速率下随着标准化失谐 的变化曲线　(a) =1/100; (b) =1/10; (c) =1; (d) =10. 其他参数: , 和 (见(16)式)

Fig. 4. Transmission amplitudes (red line) and (black line) are plotted vs normalized detuning for different nonreciprocal phase θ and coupling strength G: (a) and ; (b) and ; (c) and ; (d) and . Other parameters: , coupling strengths and according to Eq. (19) 传输振幅 (红线)和 (黑线)在不同非互易相位差θ和耦合强度G时随着标准化失谐 的变化曲线　(a) 和 ; (b) 和 ; (c) 和 ; (d) 和 ; 其他参数: , 和 (见(19)式)