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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 44, Iss. 13 — May. 1, 2005
  • pp: 2541–2545

Surface profiling of a transparent object by use of phase-shifting Talbot interferometry

Madhuri Thakur, Cho Jui Tay, and Chenggen Quan  »View Author Affiliations


Applied Optics, Vol. 44, Issue 13, pp. 2541-2545 (2005)
http://dx.doi.org/10.1364/AO.44.002541


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Abstract

Talbot interferometry is used to study the surface profile of a transparent object. Periodic patterns are produced by illuminating a grating with a collimated laser beam. The object is placed on the self-image plane of the grating. The deformed grating image, which interferes with another grating, results in the Talbot interferometric fringes. The fringe pattern is recorded on a CCD camera for subsequent analysis, and the phase variation is achieved by a linear translation stage. In this application two specimens are tested to demonstrate the validity of the method; one is a transparent object with a spherical shape with a height of less than 350 µm, and the other is a transparent object with an uneven surface of 50-µm average height. The experimental results are compared with the test results obtained with the mechanical stylus method.

© 2005 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(050.5080) Diffraction and gratings : Phase shift
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

History
Original Manuscript: August 26, 2004
Revised Manuscript: November 3, 2004
Manuscript Accepted: November 24, 2004
Published: May 1, 2005

Citation
Madhuri Thakur, Cho Jui Tay, and Chenggen Quan, "Surface profiling of a transparent object by use of phase-shifting Talbot interferometry," Appl. Opt. 44, 2541-2545 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-13-2541


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References

  1. H. F. Talbot, “Facts relating to optical science,” Philos. Mag. 9, 401–403 (1836).
  2. H. Hamam, J. L. de Bougrenet de la Tocnaye, “Efficient Fresnel-transform algorithm based on fractional Fresnel diffraction,” J. Opt. Soc. Am. A 12, 1920–1931 (1995). [CrossRef]
  3. A. W. Lohmann, D. E. Silva, “A Talbot interferometer with circular gratings,” Opt. Commun. 4, 326–329 (1972). [CrossRef]
  4. M. P. Kothiyal, R. S. Sirohi, “Improved collimation testing using Talbot interferometry,” Appl. Opt. 26, 4056–4057 (1987). [CrossRef] [PubMed]
  5. M. P. Kothiyal, K. V. Sriram, R. S. Sirohi, “Setting sensitivity in Talbot interferometry with modified gratings,” Opt. Laser Technol. 23, 361–365 (1991). [CrossRef]
  6. C. Shakher, S. Prakash, D. Nand, R. Kumar, “Collimation testing with circular gratings,” Appl. Opt. 40, 1175–1179 (2001). [CrossRef]
  7. M. Takeda, S. Kobayashi, “Lateral aberration measurement with a digital Talbot interferometer,” Appl. Opt. 23, 1760–1764 (1984). [CrossRef]
  8. Y. Nakano, K. Murata, “Talbot interferometry for measuring the focal length of a lens,” Appl. Opt. 24, 3162–3166 (1985). [CrossRef] [PubMed]
  9. L. M. Bernardo, O. D. D. Soares, “Evaluation of the focal distance of a lens by Talbot interferometry,” Appl. Opt. 27, 296–301 (1988). [CrossRef] [PubMed]
  10. Y. Nakano, K. Murata, “Measurement of phase objects using Talbot effect and moiré techniques,” Appl. Opt. 23, 2296–2299 (1984). [CrossRef]
  11. Y. Nakano, “Measurement of the small tilt angle variation of an object surface using moiré interferometry and digital image processing,” Appl. Opt. 26, 911–914 (1987). [CrossRef]
  12. S. Prakash, S. Upadhyay, C. Shakher, “Real-time out-of-plane vibration measurement using Talbot interferometry,” Opt. Laser Eng. 34, 251–259 (2000). [CrossRef]
  13. C. Shakher, A. J. P. Daniel, “Talbot interferometer with circular gratings for the measurement of temperature in axi-symmetric gaseous flames,” Appl. Opt. 33, 6068–6072 (1994). [CrossRef] [PubMed]
  14. C. Shakher, A. J. P. Daniel, S. K. Angra, “Measurement of temperature profile of atomic absorption spectrophotometer burner (premixed laminar flow slot-burner) using Talbot interferometry with circular gratings,” Opt. Eng. 33, 2663–2669 (1994). [CrossRef]
  15. K. Creath, “Temporal phase measurement methods,” in Interferogram Analysis Digital Fringe Pattern Measurement Techniques, D. W. Robinson, G. T. Raid, eds. (Institute of Physics, Bristol, 1993), Chap. 4.

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