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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 20 — Jul. 10, 2009
  • pp: 3961–3966

Transmission-grating-based wavefront tilt sensor

Koichi Iwata, Hiroki Fukuda, and Kousuke Moriwaki  »View Author Affiliations

Applied Optics, Vol. 48, Issue 20, pp. 3961-3966 (2009)

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We propose a new type of tilt sensor. It consists of a grating and an image sensor. It detects the tilt of the collimated wavefront reflected from a plane mirror. Its principle is described and analyzed based on wave optics. Experimental results show its validity. Simulations of the ordinary autocollimator and the proposed tilt sensor show that the effect of noise on the measured angle is smaller for the latter. These results show a possibility of making a smaller and simpler tilt sensor.

© 2009 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(070.6110) Fourier optics and signal processing : Spatial filtering
(110.6760) Imaging systems : Talbot and self-imaging effects
(120.4640) Instrumentation, measurement, and metrology : Optical instruments

ToC Category:
Diffraction and Gratings

Original Manuscript: April 1, 2009
Revised Manuscript: June 11, 2009
Manuscript Accepted: June 13, 2009
Published: July 6, 2009

Koichi Iwata, Hiroki Fukuda, and Kousuke Moriwaki, "Transmission-grating-based wavefront tilt sensor," Appl. Opt. 48, 3961-3966 (2009)

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  1. J. Yuan and X. Long, “CCD-area-based autocollimator for precision small-angle measurement,” Rev. Sci. Instrum. 74, 1362-1365 (2003). [CrossRef]
  2. “Agilent 10770A Angular Interferometer with Agilent 10771A Angular Reflector,” Agilent Technologies user's manual, Chap. 7V.
  3. M.-H. Chiu and D.-C. Su, “Angle measurement using total-internal-reflection heterodyne interferometry,” Opt. Eng. 36, 1750-1753 (1997). [CrossRef]
  4. T. Suzuki, T. Endo, O. Sasaki, and J. E. Greivenkamp, “Two-dimensional small-rotation-angle measurement using an imaging method,” Opt. Eng. 45, 043604 (2006). [CrossRef]
  5. Z. Ge and M. Takeda, “High-resolution two-dimensional angle measurement technique based on fringe analysis,” Appl. Opt. 42, 6859-6868 (2003). [CrossRef] [PubMed]
  6. S. Prakash, S. Singh, and S. Rana, “Automated small tilt-angle measurement using Lau interferometry,” Appl. Opt. 44, 5905-5909 (2005). [CrossRef] [PubMed]
  7. K. Iwata, H. Fukuda, and K. Moriwaki, “Autocollimator detecting wave-front tilt using a grating,” in Proceedings of International Commission for Optics (ICO) Topical Meeting on Optoinformatics /Information Photonics 2006, M.Calvo, A.Pavlov, and J.Jahns, eds. (ICO, 2006), pp.517-518.
  8. M. Takeda and K. Mutoh, “Fourier-transform profilometry for the automatic measurement of 3D object shapes,” Appl. Opt. 22, 3977-3982 (1983). [CrossRef] [PubMed]
  9. K. Patorski, “The self-imaging phenomenon and its applications,” in Progress in Optics, E.Wolf, ed. (North-Holland, 1989), Vol. 27, pp. 3-108. [CrossRef]

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