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As leveling involves measuring vertical distances relative to a horizontal line of sight, it requires a graduated rod, called a level rod, for vertical measurements and an instrument called a level for a horizontal sight line. A level includes a high-powered telescope with a mechanism for leveling to ensure the line of sight is horizontal when the bubble in the spirit level is centered. Leveling rods, made of wood, metal, or fiberglass, are graduated in feet or meters and commonly used in two-...
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Updated: Mar 7, 2026

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High resolution and stability roll angle measurement method for precision linear displacement stages.

Tao Jin1, Guizheng Xia2, Wenmei Hou1

  • 1Shanghai Key Laboratory of Modern Optical System, School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China.

The Review of Scientific Instruments
|March 3, 2017
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Summary

A novel optical method achieves high-resolution roll angle measurement for linear displacement stages. This system offers precise angular sensing with 3.5 μrad resolution, ensuring accuracy and stability in optical measurements.

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Area of Science:

  • Optics and Photonics
  • Metrology
  • Mechanical Engineering

Background:

  • Accurate roll angle measurement is critical for high-precision linear displacement stages.
  • Existing methods may suffer from limited resolution or susceptibility to environmental errors.

Purpose of the Study:

  • To develop and experimentally validate a novel optical method for high-resolution roll angle measurement.
  • To enhance the accuracy and stability of angular sensing in linear displacement systems.

Main Methods:

  • Theoretical development and experimental testing of a new optical configuration.
  • Utilizing a differential plane mirror interferometer, wedge prism assembly, and wedge mirror assembly.
  • Employing a common-path, centrosymmetrical measurement structure to minimize cross-talk errors.

Main Results:

  • Achieved a theoretical angle measurement resolution of 3.5 μrad.
  • Experimental validation demonstrated high stability and accuracy.
  • The system effectively converts roll angle to optical path changes for measurement.

Conclusions:

  • The proposed optical method provides a robust solution for high-resolution roll angle measurement.
  • The system's design minimizes interference from other angular errors (straightness, yaw, pitch).
  • The validated system offers excellent stability and accuracy for metrology applications.