图 1  混合旋转腔光力系统示意图。可旋转的回音壁腔光力腔a中的声学模式被声子泵浦驱动与另个回音壁增益光学腔c耦合。纳米颗粒沉积在回音壁光力腔a的表面。

Figure 1.  Schematic diagram of the hybrid spinning whispering-gallery-mode cavity optomechanical system driven by a phonon pump, which includes an optomechanical cavity a spinning along the clockwise and counterclockwise direction, and an gain optical cavity c. Nanoparticles are landed on the optomechanical cavity a.

图 2  不同参数机制下的透射谱。参数如图中所示。

Figure 2.  The transmission spectrum under different parameters condition. The parameters are shown in the figures.

图 3  不同参数机制下的透射谱。参数如图中所示，其它参数： $ {F}_{m}=0 $, $ {\varphi }_{m}=0 $。

Figure 3.  The transmission spectrum under different parameters condition. The parameters are shown in the figures and the other parameters are $ {F}_{m}=0 $, $ {\varphi }_{m}=0 $.

图 4  不同参数机制下的透射谱。参数如图中所示，其它参数：$ {F}_{m}=0.1\;\text{fN} $，$ {\varphi }_{m}={\text{π}} /6 $。

Figure 4.  The transmission spectrum under different parameters condition. The parameters are shown in the figures and the other parameters are $ {F}_{m}=0.1\;\text{fN} $, $ {\varphi }_{m}={\text{π}} /6 $.

图 5  不同参数机制下的透射谱。参数如图中所示，其它参数：$ {\kappa }_{a}/{\kappa }_{c}=1 $, $ J=0.5({\kappa }_{a}+{\kappa }_{c}) $, $ {F}_{m}=0.1\;\text{fN} $, $ {F}_{m}=0 $, $ {\varphi }_{m}={\text{π}} /6 $。

Figure 5.  The transmission spectrum under different parameters condition. The parameters are shown in the figures and the other parameters are $ {\kappa }_{a}/{\kappa }_{c}=1 $, $ J=0.5({\kappa }_{a}+{\kappa }_{c}) $, $ {F}_{m}=0.1\;\text{fN} $, $ {F}_{m}=0 $, $ {\varphi }_{m}={\text{π}} /6 $.

图 6  （a）纳米颗粒沉积在回音壁腔光力系统上之前与之后的透射谱。（b）纳米颗粒的质量与频移的线性关系。

Figure 6.  (a) The transmission spectra before and after depositing nanoparticles on the whispering-gallery-mode resonator, and the color curves give the frequency-shifts. (b) The linear relationship between the frequency-shifts and the nanoparticles mass.