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Optica Publishing Group
  • Chinese Optics Letters
  • Vol. 14,
  • Issue 3,
  • pp. 030801-
  • (2016)

Simple optical method for small angular displacement measurement based on the astigmatic effect

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Abstract

We propose a novel small-angle measuring optical method based on the astigmatic effect of two orthogonally placed cylindrical lenses. According to the one-to-one correspondence between the laser spot shape and the angle, the angle is determined. We theoretically analyze the measuring range and demonstrate that a longer distance between the rotating axis and the optical axis leads to a smaller measuring range, but better sensitivity. Also, an associated experimental system is established and a measuring range of 0.94 mrad (cubic fit r=0.9993) as well as a good linear range of 0.37 mrad (linear fit r=0.9994) with a resolution of 8 μrad is achieved.

© 2016 Chinese Laser Press

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