近些年来引力波测量得到人们的广泛关注，研究学者还因此获得诺贝尔奖，和引力波测量密切相关的腔光力系统研究也越来越炙手可热。基本的薄膜腔光力系统由两个凹面镜组成谐振腔，机械薄膜放置于谐振腔的中间，谐振腔中的光学模式和机械振子的振动模式相互耦合，这个过程中可以产生许多有意义的量子效应和非线性效应。同时腔光力学也在量子光学和信息科学等新兴领域得到应用，在量子通信方面取得非常好的成果。 本文从腔光力系统相互作用模型入手，分析腔光力系统的色散关系和光力耦合，并在理论基础的指导下搭建桌面型的机械薄膜腔光力系统。通过实验测得了光学谐振腔和机械薄膜的模式及其横向分布，采用Pound–Drever–Hall (PDH)锁腔技术对整个腔光力系统进行锁腔，观察光学模式和机械薄膜的模式匹配。 通过分析介质中群速度与极化率的关系，讨论引起负色散效应的条件。对非线性光力诱导透明模型进行推导以及数值模拟，研究在不同的机械薄膜耗散和不同温度的情况下，其负色散深度和宽度的变化。分析表明当机械薄膜的耗散率越小时，负色散深度越深，温度越高，负色散宽度越宽。 最后在光力诱导透明的基础上，使用傅里叶变换推导出双泵浦光系统的运动方程以及反射光的表达形式。通过数值模拟改变不同的机械薄膜的谐振频率，得到可调谐的光力负色散，形成“白光腔”。本文的研究发现，可以通过调节谐振频率提高精密测量的灵敏度。

In recent years, gravitational wave measurement has received wide attention, because of it, some researchers have won the Nobel Prize. The research of cavity membrane system, which is closely related to gravitational wave measurement, is becoming more and more popular. The basic opto-mechanical coupling system consists of an optical cavity and a membrane oscillator. The resonant cavity is formed with two concave mirrors, and the mechanical membrane is placed in the middle of the cavity. The optical mode in the cavity and the vibration mode of the mechanical oscillator are coupled to each other. This process can produce many meaningful quantum effects and nonlinear effects. At the same time, cavity opto-mechanics is also an emerging field between quantum optics and information science, and has achieved very useful results in quantum communication. In this paper, we derive the dispersion relation and optomechanical coupling with the interaction model of optomechanical system. Then we built the optomechanical system with mechanical membrane under the guidance of theoretical on the platform. The mode and lateral distribution of the optical cavity and the mechanical film were measured by experiments. The Pound–Drever–Hall (PDH) locking cavity technology is used to lock the cavity of the whole optomechanical system, and the pattern matching of the optical mode and the mechanical film is observed. Then we derive the relationship between the group velocity and the polarizability, and analysis the conditions that cause the negative dispersion effect. The nonlinear optomechanically-induced transparency (OMIT) model is deduced and numerically simulated to consider the changes of the transparent window and the negative dispersion intensity and width under the condition of dissipating different mechanical membranes and different temperature. When the dissipation rate of the mechanical film is smaller, the negative dispersion intensity is higher. And the temperature is higher, the negative dispersion width is wider. Finally, based on the optomechanically-induced transparency, we use Fourier transform to derive the equation of motion and the expression of the reflected light in the dual-pumped optical system. By numerical simulation different resonant frequency of mechanical membranes, a tunable negative optical dispersion is produced, forming a "white cavity". The research in this paper finds that the sensitivity of precision measurement can be improved by adjusting resonance frequency.