Zambuto M H, Fischer W K
Appl Opt. 1973 Jul 1;12(7):1651-5. doi: 10.1364/AO.12.001651.
Conventional holographic interferometry of vibrating objects yields reconstructed images in which the radiance of each point is proportional to the square of the zero-order Bessel function of an argument proportional to the vibration amplitude. Therefore, the vibration pattern appears as a dark outline on the bright background of the nonvibrating points. By appropriately shifting the frequency of the reference radiation used in the recording of the hologram, the radiance of each image point can be made proportional to the square of the first-order Bessel function of the above argument. Nonvibrating points are therefore black and vibrating points appear bright on a black background. A quantitative analysis of the technique is reviewed and extended and shows the shifted-reference method to be almost one order of magnitude more sensitive than the conventional method. Experimental verification of the theory is presented and some possible future applications are indicated.
对振动物体进行传统全息干涉测量时，重建图像中各点的辐射度与零阶贝塞尔函数的平方成正比，该函数的自变量与振动幅度成正比。因此，振动模式在非振动点的明亮背景上呈现为暗轮廓。通过适当改变记录全息图时所用参考辐射的频率，每个图像点的辐射度可与上述自变量的一阶贝塞尔函数的平方成正比。于是，非振动点为黑色，振动点在黑色背景上显得明亮。本文对该技术进行了综述并拓展了定量分析，结果表明移相参考法的灵敏度比传统方法高近一个数量级。文中给出了该理论的实验验证，并指出了一些未来可能的应用。
