Abstract

The simultaneous measurement of all six degrees of freedom of motion error for a linear stage is significantly faster than methods that measure each degree of freedom separately. However, in current simultaneous measurement methods, error crosstalk issues significantly affect measurement accuracy. In this paper, a direct and simple crosstalk decoupling simultaneous measurement method to determine the six degrees of freedom of motion error of a linear stage is proposed. Based on the combination of single-frequency laser interferometry and laser self-collimation, a novel, to the best of our knowledge, optical configuration with a complete error decoupling relationship is designed, and a mathematical model is derived for error decoupling to address the crosstalk issue. A prototype system based on the new method is developed, and experiments are conducted to verify its effectiveness. Analysis shows that, compared with a commercial laser interferometer for linear stage measurement, the deviations of the positioning, horizontal straightness, vertical straightness, roll, pitch, and yaw errors are ${{\pm 0}.{50}}\;\unicode{x00B5}{\rm m}$, ${{\pm 0}.{58}}\;\unicode{x00B5}{\rm m}$, ${{\pm 0}.{50}}\;\unicode{x00B5}{\rm m}$, ${{\pm 1}.{02}}\;{\rm{in}}.$, ${{\pm 0}.{72}}\;{\rm{in}}.$, and ${{\pm 0}.{87}}\;{\rm{in}}.$ respectively, over a 200 mm measurement range.

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