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A novel Heterodyne Grating Interferometer (HTGI) with a rotationally symmetric optical configuration is proposed to achieve the simultaneous measurement of tri-axial linear motions with a largeZ-axis range and a largeZ-axis rotation tolerance. In this design, the ±1-storder diffracted beams from one incident beam were purposely rotated around the central axis by an angle of 180° to interfere with them from the other incident beam. In this configuration, all beams can shift identical distances along the same direction to maintain interference, when the grating has largeZ-axis motions and rotations. Experimental testing demonstrates high linearities comparable with commercial capacitive sensors, and sub-nanometric resolutions by identifying 0.25 nm motions via the spectrum analysis for all the tri-axial measurements. Moreover, a greatly extendedZ-axis range of 7.6 mm and aZ-axis rotation tolerance of 0.75° were achieved, well demonstrating the superiority of the proposed design.
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Chen et al. (2025) studied this question.
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