误差分离法在广域薄膜形貌测量中的应用
Error Separation in Wild Area Film Measurement
为了分离测量中工作台移动带来的误差,提高薄膜广域测量精度,本文应用最小二乘联立方程式法实现测量过程的自校正。同时对比了使用不同个数探针情况下的测量结果。首先,介绍了多个探针及角度仪共同作用下的最小二乘联立方程式法建模原理及解析过程,同时给出了相应的理论不确定度计算方法。接着介绍了薄膜广域测量方法,以及最小二乘联立方程式法应用的可行性。然后,对实验测量的数据我们进行了误差分离解析,与实际值对比的同时,分析了不同探针数目情况下的偏差和不确定度。实验结果表明:最小二乘方程式法可将工作台运动误差和形状误差分离。三点以上和角度仪组合情况下误差分离结果好。在给定的传感器和白光干涉计的随机误差偏差下,不同探针数目下所得的试验标准偏差值与计算的理论平均不确定度值接近。此方法应用在多点探针系统的运送平台上可能实现大面积测量的高精度。
In order to separate measurement error caused by the work table moving, the least squares simultaneous equation method is applied to achieve self-correction of the measurement process. The measurement results using different number of probes are analyzed. First,the modeling principle and resolution process of the least squares simultaneous equation method under the joint action of multiple probes are introduced and the corresponding theory uncertainty calculation method is given. The film wide area measurement method and the feasibility of the application of the least squares simultaneous equation method are also introduced and analyzed. Then, the experimental data is separated from the measurement error. When contrasting with the actual value, the bias and uncertainty in the case of different number of probes are analyzed. Experimental results show that: the work table moving error and the shape can be separated by least squares method. In the given standard deviations of the autocollimator and white light interferometer, the experimental standard deviation calculated in the case of using different number of probes is near to the corresponding theory uncertainty. The high-precision measurements of a large area can be achieved when the method is used in the multi-point probe system platform.
刘淑杰、原作兰、张洪潮
计量学工程设计、工程测绘材料科学
误差分离最小二乘联立方程式法多点测量薄膜测量角度计
Error separationLeast squares methodMulti-point measurementPhotoresist measurementAutocollimator
刘淑杰,原作兰,张洪潮.误差分离法在广域薄膜形貌测量中的应用[EB/OL].(2014-11-24)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201411-436.点此复制
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