OSA's Digital Library

Applied Optics

Applied 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)

View Full Text Article

Enhanced HTML    Acrobat PDF (1544 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

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)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited