A design of high-accuracy displacement measurement instrument from Principles of Optics

In order to measure the water drainage volume in soil mechanical tests accurately, it develop a new method which is based on principles of optics. And from both physical and mathematic aspects, it deduces the mathematic relationship between micro change in displacement and the increment projected on screen. The result shows that total reflection condition is better than refraction condition. What's more, the screen could show the water volume micro variation clearly, so it can improve the accuracy of measurement.