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Analysis of measurement error caused by swing motion for determining the physical thickness and group refractive index of a large glass panel

机译:用于确定大型玻璃面板的物理厚度和群折射率的摆动运动引起的测量误差分析

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The optical interferometry is a non-contact dimensional measurement technique which is capable of ultra-high-precisionmeasurements. Fundamentally, it provides the optical path difference instead of the geometrical path difference. Forthickness measurements of glass panels, the physical thickness can be extracted from the optical thickness when therefractive index of the glass panel is precisely given. Otherwise, the precision of an optical interferometer cannot bemaintained owing to errors in the refractive index. To overcome this problem, several studies based on opticalinterferometry for simultaneously measuring the physical thickness and refractive index have been proposed and realized.For in-line inspections, the vibration problem becomes serious with increased dimensions of thin glass panels. Whendelivering large glass panels, a large amount of vibration is inevitable. In this paper, a transmission-type spectral-domaininterferometer for determining physical thicknesses and group refractive indices of large glass panel, which can beoperated even under vibration conditions is introduced. For an in-line inspection, large tilt angles of glass panels arecreated by swing motion when delivering these glass panels at a high-speed. Even if the proposed method determinesphysical thickness values successfully under the severe vibration condition used here, the measurement error caused bythe vibration effect should be investigated and analyzed to correct the measured thickness values. To do this, atheoretical analysis of the error was performed by mathematical modeling. Moreover, the error of the physical thicknesswas experimentally analyzed at various tilt angles of the large glass panel. The uncertainty was evaluated to be about 436nm based on the results of these investigations.
机译:光学干涉测量是一种不高精度的非接触式测量技术 测量。从根本上,它提供了光路径而不是几何路径差异。为了 玻璃面板的厚度测量,可以从光学厚度提取物理厚度 精确给出玻璃面板的折射率。否则,光学干涉仪的精度不能是 由于折射率中的错误而维持。克服这个问题,基于光学的几项研究 同时测量物理厚度和折射率的干涉测量已经提出和实现。 对于在线检查,振动问题变得严重,薄玻璃板的尺寸增加。什么时候 提供大型玻璃面板,大量振动是不可避免的。本文中,透射型光谱域 用于确定大型玻璃面板的物理厚度和组折射率的干涉仪,可以是 介绍了即使在振动条件下也会运行。对于在线检查,玻璃面板的大倾斜角度是 在以高速输送这些玻璃面板时,由摆动运动产生。即使所提出的方法确定 物理厚度值在这里使用的严重振动条件下成功,测量误差引起 应研究和分析振动效果以校正测量的厚度值。这样做,一个 数学建模执行了对误差的理论分析。而且,物理厚度的误差 在大型玻璃面板的各种倾斜角度进行了实验分析。不确定性被评估为约436 基于这些调查的结果。

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