OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 3 — Mar. 1, 2009
  • pp: 540–547

Optical diffractometry

M. Taghi Tavassoly, Mohammad Amiri, Ahmad Darudi, Rasoul Aalipour, Ahad Saber, and Ali-Reza Moradi  »View Author Affiliations


JOSA A, Vol. 26, Issue 3, pp. 540-547 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000540


View Full Text Article

Enhanced HTML    Acrobat PDF (764 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Interference of light has numerous metrological applications because the optical path difference (OPD) can be varied at will between the interfering waves in the interferometers. We show how one can desirably change the optical path difference in diffraction. This leads to many novel and interesting metrological applications including high-precision measurements of displacement, phase change, refractive index profile, temperature gradient, diffusion coefficient, and coherence parameters, to name only a few. The subject fundamentally differs from interferometry in the sense that in the latter the measurement criterion is the change in intensity or fringe location, while in the former the criterion is the change in the visibility of fringes with an already known intensity profile. The visibility can vary from zero to one as the OPD changes by a half-wave. Therefore, measurements with the accuracy of a few nanometers are quite feasible. Also, the possibility of changing the OPD in diffraction allows us to use Fresnel diffraction in Fourier spectrometry, to enhance or suppress diffracted fields, and to build phase singularities that have many novel and useful applications.

© 2009 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(120.3930) Instrumentation, measurement, and metrology : Metrological instrumentation
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6780) Instrumentation, measurement, and metrology : Temperature
(260.1960) Physical optics : Diffraction theory
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

History
Original Manuscript: September 30, 2008
Revised Manuscript: December 15, 2008
Manuscript Accepted: December 16, 2008
Published: February 17, 2009

Citation
M. Taghi Tavassoly, Mohammad Amiri, Ahmad Darudi, Rasoul Aalipour, Ahad Saber, and Ali-Reza Moradi, "Optical diffractometry," J. Opt. Soc. Am. A 26, 540-547 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-3-540


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).
  2. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999), p. 335.
  3. C. V. Raman and I. R. Rao, “Diffraction of light by a transparent lamina.” Proc. Phys. Soc. London 39, 453-457 (1927).
  4. M. P. Givens and W. L. Goffe, “Application of the Cornu spiral to the semi-transparent half plane,” Am. J. Phys. 34, 248-253 (1966). [CrossRef]
  5. R. C. Saust, “Fresnel diffraction at a transparent lamina,” Proc. Phys. Soc. London 64, 105-113 (1950).
  6. O. Yoshihiro and M. C. Yin, “Fresnel diffraction by a semitransparent straight edge object with acoustically coherence-controllable illumination,” Appl. Opt. 23, 300-305 (1984). [CrossRef]
  7. M. T. Tavassoly, H. Sahloll-bai, M. Salehi, and H. R. Khalesifard, “Fresnel diffraction from step in reflection and transmission,” Iranian J. Phys. 5, 237-246 (2001).
  8. M. T. Tavassoly, M. Amiri, E. Karimi, and H. R. Khalesifard, “Spectral modification by line singularity in Fresnel diffraction from 1D phase step,” Opt. Commun. 255, 23-34 (2005). [CrossRef]
  9. M. Amiri and M. T. Tavassoly, “Fresnel diffraction from 1D and 2D phase steps in reflection and transmission mode,” Opt. Commun. 272, 349-361 (2007). [CrossRef]
  10. A. Sabatyan and M. T. Tavassoly, “Application of Fresnel diffraction to nondestructive measurement of the refractive index of optical fibers,” Opt. Eng. (Bellingham) 46, 128001-7 (2007). [CrossRef]
  11. N. Bocher and J. Pipman, “A simple method of determining diffusion constants by holographic interferometry,” J. Phys. D: Appl. Phys. 9, 1825-1830 (1976). [CrossRef]
  12. G. Zhixiony, S. Marujama, and A. Komiya, “Rapid yet accurate measurement of mass diffusion coefficients by phase shifting interferometer,” J. Phys. D: Appl. Phys. 32, 995-999 (1999). [CrossRef]
  13. K. Jamshidi-Ghaleh, M. T. Tavassoly, and N. Mansour, “Diffusion coefficient measurements of transparent liquid solutions using moiré deflectometery,” J. Phys. D: Appl. Phys. 37, 1-5 (2004). [CrossRef]
  14. M. S. Soskin and M. V. Vasnetsov, “Singular optics,” in Progress in Optics, Vol. 42, E.Wolf, ed. (Elsevier, 2001), pp. 219-276. [CrossRef]
  15. J. F. Nye, Natural Focusing and Fine Structure of Light (Institute of Physics, 1999).
  16. G. Gbur, T. D. Visser, and E. Wolf, “Anomalous behavior of spectra near phase singularities of focused waves,” Phys. Rev. Lett. 88, 013901 (2002). [CrossRef] [PubMed]
  17. S. A. Ponomarenko and E. Wolf, “Spectral anomalies in a Fraunhofer diffraction pattern,” Opt. Lett. 27, 1211-1213 (2002). [CrossRef]
  18. K. Knop, “Color pictures using the zero diffraction order of phase grating structures,” Opt. Commun. 18, 298-303 (1976). [CrossRef]
  19. O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, “On the feasibility for determining the amplitude zeroes in polychromatic fields,” Opt. Express 13, 4396-4405 (2005). [CrossRef] [PubMed]
  20. O. V. Angelsky, A. P. Maksimyak, P. P. Maksimyak, and S. G. Hanson, “Interference diagnostics of white-light vortices,” Opt. Express 13, 8179-8183 (2005). [CrossRef] [PubMed]
  21. M. T. Tavassoly, A. Nahal, and Z. Ebadi, “Image formation in rough surfaces,” Opt. Commun. 238, 252-260 (2004). [CrossRef]
  22. O. V. Angelsky, P. V. Polyanskii, and S. G. Hanson, “Singular-optical coloring of regularly scattered white light,” Opt. Express 14, 7579-7586 (2006). [CrossRef] [PubMed]
  23. M. T. Tavassoly and M. Dashtdar, “Height distribution on a rough plane and specularly diffracted light amplitude are Fourier transform pair,” Opt. Commun. 42, 2397-2405 (2008). [CrossRef]
  24. M. Dashtdar and M. T. Tavassoly, “Determination of height distribution on a rough interface by measuring the coherently transmitted or reflected light intensity,” J. Opt. Soc. Am. A 25, 2509-2517 (2008). [CrossRef]
  25. M. Amiri and M. T. Tavassoly, “Spectral anomalies near phase singularities in reflection at Brewster's angle and colored catastrophes,” Opt. Lett. 33, 1863-1865 (2008). [CrossRef] [PubMed]

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