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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 43, Iss. 14 — May. 10, 2004
  • pp: 2888–2894

Lau Array Illuminator

Habib Hamam  »View Author Affiliations


Applied Optics, Vol. 43, Issue 14, pp. 2888-2894 (2004)
http://dx.doi.org/10.1364/AO.43.002888


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Abstract

Spatial coherence can be created by appropriate spatial arrangements of incoherent point sources. Lau used a source of extended light and two amplitude gratings of identical periods, separated by the quarter Talbot distance, to provide coherent light. Because of the two successive amplitude gratings, most of the power is lost. By modifying the geometry of the second grating, I designed an array illuminator, providing several compression ratios and various topologies of the output plane, with significantly reduced losses. To further improve the power efficiency of the system, I used a longitudinal mirror system to collect the light rays that are lost in the initial Lau setup. Both one- and two-dimensional geometries are considered.

© 2004 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects

Citation
Habib Hamam, "Lau Array Illuminator," Appl. Opt. 43, 2888-2894 (2004)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-14-2888


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References

  1. M. Barge, H. Hamam, Y. Defosse, R. Chevallier, and J. L. de Bougrenet, “Array illuminators using diffractive optical elements,” J. Opt. 27, 151–170 (1996).
  2. A. W. Lohmann and J. A. Thomas, “Making an array illuminator based on the Talbot effect,” Appl. Opt. 29, 4337–4340 (1990).
  3. W. D. Montgomery, “Self-imaging objects of infinite aperture,” J. Opt. Soc. Am. 57, 772–778 (1967).
  4. K. Patorski, “The self-imaging phenomenon and its applications,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1989), Vol. 27, pp. 1–110.
  5. E. Lau, “Beugungserscheinung an Doppelrastern,” Ann. Phys. (Leipzig) 6, 417–427 (1948).
  6. M. Robblin, “Modulation spatiale d’intensité produite par l’association de deux réseaux parallèles,” Ph.D. dissertation(Université de Paris VI, Paris, 1973).
  7. R. Sudol and B. Thompson, “Lau effects theory and experiments,” Appl. Opt. 20, 1107–1116 (1981).
  8. K. Patorski, “Incoherent superimposition of multiple self-imaging under plane wave-front illumination,” Appl. Opt. 25, 2396–2404 (1986).
  9. J. Ojeda-Castaneda, P. Andrés, and J. Ibarra, “Lensless theta decoder with high light throughput,” Opt. Commun. 67, 256–260 (1988).
  10. J. Barreiro, P. Andrés, and J. Ojeda-Castaneda, “Lau effect with only phase gratings,” Opt. Commun. 73, 106–110 (1989).
  11. E. Menzel and Ch. Menzel, “Zur Abbildung optischer Gitter,” Optik (Stuttgart) 1, 22–36(1948).
  12. C. H. Deckers, “Etude de l’influence de la dimension finie d’un réseau sur la formation des images de Fresnel,” J. Opt. (Paris) 7, 113–119 (1976).
  13. D. Silva, “Talbot interferometer for radial and lateral derivatives,” Appl. Opt. 11, 2613–2624 (1972).
  14. A. Smirnov, “Depth of focus of Fresnel images,” Opt. Spectrosc. 46, 319–322 (1979).
  15. H. Hamam, “Design of Talbot array illuminators,” Opt. Commun. 131, 359–370 (1996).
  16. H. Hamam, “Applet for Lau array illumination,” http://www.umoncton.ca/genie/electrique/Cours/Hamam/Optics/Lau/Lail.htm (July 2003).
  17. R. Loseliani, “Fresnel diffraction by two-dimensional periodic structures,” Opt. Spectrosc. 55, 544–547 (1983).
  18. H. Hamam, “Talbot imaging and unification,” Appl. Opt. 42, 7052–7059 (2003).

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