OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 10 — Apr. 1, 2008
  • pp: 1470–1477

Invariant grating pseudoimaging using polychromatic light and a finite extension source

Luis Miguel Sanchez-Brea, Jose Saez-Landete, Jose Alonso, and Eusebio Bernabeu  »View Author Affiliations


Applied Optics, Vol. 47, Issue 10, pp. 1470-1477 (2008)
http://dx.doi.org/10.1364/AO.47.001470


View Full Text Article

Enhanced HTML    Acrobat PDF (956 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The Talbot effect is a well studied phenomenon by which grating pseudoimages appear at certain periodic distances when monochromatic light is used. Recently, numerical simulations have shown a new phenomenon; when a polychromatic light beam is used in a double grating system, the intensity of the pseudoimages presents a transverse-profile that remains unaffected over a wide range of propagation distances. This effect can be used to increase the tolerances of gratings based optical devices, such as displacement measurement systems, interferometers, and spectrometers. The pseudoimages formation with a polychromatic and finite extension light source is analytically and experimentally demonstrated. Relatively simple analytical expressions for the intensity and the contrast allow us to predict when pseudoimages present a constant contrast and when they disappear. Furthermore, we experimentally obtain the pseudoimages using the proposed configuration, corroborating the theoretical predictions.

© 2008 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.2770) Diffraction and gratings : Gratings

ToC Category:
Diffraction and Gratings

History
Original Manuscript: October 16, 2007
Revised Manuscript: January 30, 2008
Manuscript Accepted: February 6, 2008
Published: March 27, 2008

Citation
Luis Miguel Sanchez-Brea, Jose Saez-Landete, Jose Alonso, and Eusebio Bernabeu, "Invariant grating pseudoimaging using polychromatic light and a finite extension source," Appl. Opt. 47, 1470-1477 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-10-1470


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. L. Liu, “Partially coherent diffraction effect between Lau and Talbot effects,” J. Opt. Soc. Am. A 5, 1709-1716 (1988). [CrossRef]
  2. K. V. Avudainayagam and S. Chitralekha, “Lau effect and beam collimation,” J. Mod. Opt. 44, 175-178 (1997). [CrossRef]
  3. M. Tebaldi, L. Angel Toro, and N. Bolognini, “Interferometry based on Lau effect with a grating registered in a photorefractive crystal,” Opt. Laser Technol. 31, 127-134 (1999). [CrossRef]
  4. D. Crespo, J. Alonso, T. Morlanes, and E. Bernabéu, “Optical encoder based on the Lau effect,” Opt. Eng. 39, 817-824(2000). [CrossRef]
  5. J. Jahns and A. W. Lohmann, “The Lau effect (a diffraction experiment with incoherent illumination),” Opt. Commun. 28, 263-267 (1979). [CrossRef]
  6. K. Patorski, “The self-imaging phenomenon and its applications,” in Progress in Optics, Vol. 27, E. Wolf, ed. (North Holland, 1989), pp. 3-108. [CrossRef]
  7. S. C. Som and A. Satpathi, “The generalized Lau effect,” J. Mod. Opt. 37, 1215-1226 (1990). [CrossRef]
  8. G. J. Swanson and E. N. Leith, “Analysis of the Lau effect and generalized grating imaging,” J. Opt. Soc. Am. A 2, 789-793(1985). [CrossRef]
  9. A. Olszak and L. Wronkowski, “Analysis of the Fresnel field of a double diffraction system in the case of two amplitude diffraction gratings under partially coherent illumination,” Opt. Eng. 36, 2149-2157 (1997). [CrossRef]
  10. J. Tu and L. Zhan, “Analysis of general double periodic structure diffraction phenomena based on the ambiguity function,” J. Opt. Soc. Am. A 9, 983-995 (1992). [CrossRef]
  11. D. Crespo, J. Alonso, and E. Bernabeu, “Experimental measurements of generalized grating images,” Appl. Opt. 41, 1223-1228 (2002). [CrossRef] [PubMed]
  12. S. Teng, L. Liu, J. Zu, Z. Luan, and D. Liu, “Uniform theory of the Talbot effect with partially coherent light illumination,” J. Opt. Soc. Am. A 20, 1747-1754 (2003). [CrossRef]
  13. D. Crespo, J. Alonso, and E. Bernabeu, “Generalized grating imaging using an extended monochromatic light source,” J. Opt. Soc. Am. A 17, 1231-1240 (2000). [CrossRef]
  14. L. Garcia-Rodriguez, J. Alonso, and E. Bernabeu, “Grating pseudo-imaging with polychromatic and finite extension sources” Opt. Express 12, 2529-2541 (2004). [CrossRef] [PubMed]
  15. N. Guérineau, B. Harchaoui, and J. Primot, “Talbot experiment re-examined: demonstration of an achromatic and continuous self-imaging regime,” Opt. Commun. 180, 199-203(2000). [CrossRef]
  16. N. Guèrineau, E. di Mambro, J. Primot, and F. Alves, “Talbot experiment re-examined: study of the chromatic regime and application to spectrometry,” Opt. Express 11, 3310-3319(2003). [CrossRef] [PubMed]
  17. L. M. Sanchez-Brea, J. Alonso, and E. Bernabeu, “Continuous pseudoimages for sinusoidal grating imaging using an extended light source,” Opt. Commun. 236, 53-58 (2004). [CrossRef]
  18. L. M. Sanchez-Brea, J. Alonso, J. B. Saez-Landete, and E. Bernabeu, “Analytical model of a double grating system with partial temporal and spatial coherence,” in Nano- and Micro-Metrology, H. Ottevaere, P. De Wolf, and D. S. Wiersma, eds., Proc. SPIE 5858, 304-311 (2005).

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited