We explore acousto-optic interactions in a piezoelectric-based optomechanical cavity, where mechanical vibrations are electrically induced and coupled to confined optical modes. The piezoelectric transducer converts electrical energy into coherent acoustic waves, enabling dynamic modulation of light via enhanced acousto-optic coupling. This interaction is optimized when the coupling strength \(\:g\) is comparable to or exceeds the optical decay rate \(\:\kappa\:\) . Using coupled-mode theory and numerical simulations, we analyze optical susceptibilities and time-dependent populations of optical and mechanical modes. By tuning decay rates, a high-Q regime is achieved, enhancing interaction strength and enabling precise control over amplitude modulation. Contour plots reveal resonant hybridization between mechanical and optical modes, with transmittance, energy density, and a field distribution that confirms efficient modulation. The thermal occupation number enters as the noise correlation functions and primarily affects the amplitude and fluctuations of the mechanical response. This compact platform offers a low-power, high-speed solution compared with conventional AOM and EOM devices, which open new avenues for next-generation photonic signal processing and frequency control.
