A two-degree-of-freedom linear encoder with a mosaic scale grating

Akihide Kimura, Koji Hosono, Woo Jae Kim, Yuki Shimizu, Wei Gao, Lijiang Zeng

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


A new optical two-degree-of-freedom (2-DOF) linear encoder with a mosaic scale grating is proposed to expand the measurement range along the in-plane direction of the grating. The 2-DOF linear encoder has the ability to measure the in-plane displacement along the axis of the scale grating (X-axis) and the out-of-plane displacement perpendicular to the scale grating plane (Z-axis). The measurement range of the optical linear encoder along the X-axis, which is determined by the length of the scale grating, is expanded by using a mosaic scale grating with multiple scale gratings aligned along the X-axis. A new optical configuration of the sensor head, which projecting multiple light probes onto the mosaic scale grating, is presented. The 2-DOF displacements can be obtained accurately from the probe which is not on the gaps between scale gratings. The feasibility of the 2-DOF linear encoder with the multi-probe configuration has been verified by experimental results. The X-and Z-directional resolutions were about 5 nm and 1 nm, respectively. The peak to valley amplitude of the non-linear component was within ±50 nm in the measurement error of the X-directional sensor output, which was obtained by the stitching outputs from the multiple light probes.

Original languageEnglish
Pages (from-to)73-91
Number of pages19
JournalInternational Journal of Nanomanufacturing
Issue number1
Publication statusPublished - 2011 May


  • 2-DOF
  • Laser interferometer
  • Linear encoder
  • Mosaic grating
  • Multi-probe
  • Positioning
  • Scale grating
  • Stage
  • Two-degree-of-freedom

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering


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