Precision measurement of mini-rotating-angle is of significance in practice engineering applications. In order to measure mini-rotating-angles with much higher precision, a new method was presented combining the digital holographic, double-exposure of interferometry with image processing. Through detailed theoretical analysis and experimental verification, the Young' s modulus of steel wires was measured with this method, and its error was only 1.1%. Results indicate that the method can be widely used in practical application because of its high accuracy, strong feasibility. The results are helpful for the future design of more perfect goniometers.%微小转角的精密测量在工程应用中具有重要的意义.为了更精确地测量微小角度,采用一种数字全息、干涉计量2次曝光法和图像处理测量微小转角的方法,进行了理论分析和实验验证,利用该方法测量了钢丝的杨氏模量,取得了误差仅为1.1%的数据.结果表明,此方法精度高、可操作性强,具有广泛的实际应用价值.这一结果对今后设计更完善的测角仪是有帮助的.
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