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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 6 — Feb. 20, 2010
  • pp: 1025–1031

Measurement of angle and axis of rotation in a carousel interferometer: a detailed analysis

Ghazanfar Hussain and Masroor Ikram  »View Author Affiliations

Applied Optics, Vol. 49, Issue 6, pp. 1025-1031 (2010)

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A detailed analysis of a carousel interferometer is presented for the measurement of an unknown angle and axis of rotation. The technique exploits a set of compensator glass plates and a right-angle prism that is placed in each of the two arms of the interferometer. The two sets are placed at the same rotational stage, while the end mirrors of the interferometer are static. When rotation takes place, individual and relative optical path differences are generated in the two beams of the interferometer. The generated phase differences contribute toward finding the angle and axis of rotation. The analysis is presented for any initial position of the interferometer, i.e., the radial vector from the axis of rotation to the apex of one of the prisms used. The results show the slight variations in the error and nonlinearity when different parameters are manipulated. Moreover, the trade-off between the maximum size of the prisms and the radial distances are also presented.

© 2010 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3930) Instrumentation, measurement, and metrology : Metrological instrumentation
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.4570) Instrumentation, measurement, and metrology : Optical design of instruments
(120.4800) Instrumentation, measurement, and metrology : Optical standards and testing

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: November 24, 2009
Manuscript Accepted: January 4, 2010
Published: February 19, 2010

Ghazanfar Hussain and Masroor Ikram, "Measurement of angle and axis of rotation in a carousel interferometer: a detailed analysis," Appl. Opt. 49, 1025-1031 (2010)

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  1. M. Ikram and G. Hussain, “Michelson interferometer for precision angle measurement,” Appl. Opt. 38, 113-120 (1999). [CrossRef]
  2. G. Hussain and M. Ikram, “Optimization of linearity by use of a glass plate in carousel interferometers,” Opt. Lett. 29, 1930-1932 (2004). [CrossRef] [PubMed]
  3. G. Hussain and M. Ikram, “Optical measurements of angle and axis of rotation,” Opt. Lett. 33, 2419-2421 (2008). [CrossRef] [PubMed]
  4. D. Malacara and O. Harris, “Interferometric measurement of angles,” Appl. Opt. 9, 1630-1633 (1970). [CrossRef] [PubMed]
  5. J. D. Chapman, “Interferometric angular measurement,” Appl. Opt. 13, 1646-1651 (1974). [CrossRef] [PubMed]
  6. P. S. Huang, S. Kiyano, and O. Kamada, “Angle measurement based on the internal-reflection effect: a new method,” Appl. Opt. 31, 6047-6055 (1992). [CrossRef] [PubMed]
  7. H. K. Chiang, R. P. Kenan, N. F. Hartman, and C. J. Summers, “Optical alignment and tilt angle measurement technique based on Lloyd's mirror arrangement,” Opt. Lett. 17, 1024-1025 (1992). [CrossRef] [PubMed]
  8. X. Dai, O. Sasaki, J. E. Greivenkamp, and T. Suzuki, “Measurement of small rotation angles by using a parallel interference pattern,” Appl. Opt. 34, 6380-6388 (1995). [CrossRef] [PubMed]
  9. L. Zeng, H. Mataumoto, and K. Kawachi, “Scanning beam collimation method for measuring dynamic angle variation using an acousto-optic deflector,” Opt. Eng. 35, 1662-1667(1996). [CrossRef]
  10. J. K. Kauppinen, I. K. Salomaa, and J. O. Partanen, “Carousel interferometer,” Appl. Opt. 34, 6081-6085 (1995). [CrossRef] [PubMed]
  11. P. Shi and E. Stijns, “New optical method for measuring small angle rotations,” Appl. Opt. 27, 4342-4344 (1988). [CrossRef] [PubMed]
  12. P. Shi and E. Stijns, “Improving the linearity of the Michelson interferometric angular measurement by a parametric compensation method,” Appl. Opt. 32, 44-51 (1993). [CrossRef] [PubMed]
  13. L.-c. Li, O.-f. Yu, Z. Lei, and J. Li, “High-accuracy measurement of rotation angle based on image,” Acta Opt. Sinica 25, 491-496 (2005). [CrossRef]
  14. 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]
  15. P. J. Giblin, F. E. Pollick, and J. E. Rycroft, “Recovery of an unknown axis of rotation from the profiles of a rotating surface,” J. Opt. Soc. Am. A 11, 1976-1984 (1994). [CrossRef]
  16. T. Suzuki, H. Nakamura, O. Sasaki, and J. E. Greivenkamp, “Small-rotation-angle measurement using an imaging method,” Opt. Eng. 40, 426-432 (2001). [CrossRef]

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