OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 25 — Sep. 1, 2006
  • pp: 6525–6532

Array illuminator with arbitrary fan-out

Habib Hamam  »View Author Affiliations

Applied Optics, Vol. 45, Issue 25, pp. 6525-6532 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (475 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An approach for designing Talbot array illuminators that produce quasi-arbitrary numbers of spots and quasi-arbitrary distributions of these spots in the output plane is proposed. The approach consists in combining elementary Talbot array illuminators. In addition to the quasi-arbitrary topology of the output spots, the resulting compound array illuminator shows several advantages such as its ability to be used for both coherent and incoherent imaging. Compared with elementary array illuminators, the compound illuminator does not add any specific technological complication.

© 2006 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects

Original Manuscript: January 17, 2006
Revised Manuscript: April 2, 2006
Manuscript Accepted: April 3, 2006

Habib Hamam, "Array illuminator with arbitrary fan-out," Appl. Opt. 45, 6525-6532 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. N. Streibl, "Beam shaping with optical array generators," J. Mod. Opt. 36, 1559-1573 (1989). [CrossRef]
  2. 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). [CrossRef]
  3. H. Dammann and E. Klotz, "Coherent optical generation and inspection of two-dimensionnal periodic structures," Opt. Acta 24, 505-515 (1977). [CrossRef]
  4. A. W. Lohmann and J. A. Thomas, "Making an array illuminator based on the Talbot effect," Appl. Opt. 29, 4337-4340 (1990). [CrossRef] [PubMed]
  5. H. Hamam, "Design of Talbot array illuminators," Opt. Commun. 131, 359-370 (1996). [CrossRef]
  6. H. Hamam, "Talbot imaging and unification," Appl. Opt. 42, 7052-7059 (2003). [CrossRef] [PubMed]
  7. J. T. Winthrop and C. R. Worthington, "Theory of Fresnel images. I. Plane periodic objects in monochromatic light," J. Opt. Soc. Am. 55, 373-381 (1965). [CrossRef]
  8. H. Hamam, "Simplified linear formulation of Fresnel diffraction," Opt. Commun. 144, 89-98 (1996). [CrossRef]
  9. K. Patorski, "The self-imaging phenomenon and its applications" inProgress in Optics, E. Wolf, ed. (North-Holland, 1989), Vol. 27, pp. 1-110. [CrossRef]
  10. J. W. Goodman, Introduction to Fourier Optics, (McGraw-Hill, 1968).
  11. V. Arrizon and J. Ojeda-Castaneda, "Fresnel diffraction of substructured gratings: matrix description," Opt. Lett. 20, 118-120 (1995). [CrossRef] [PubMed]
  12. H. Hamam and J. L. de Bougrenet de la Tocnaye, "Multilayer array illuminators with binary phase plates at fractional Talbot distances," Appl. Opt. 35, 1820-1826 (1996). [CrossRef] [PubMed]
  13. H. Hamam, "Lau array illuminator," Appl. Opt. 43, 2888-2894 (2004). [CrossRef] [PubMed]
  14. X. Y. Da, "Multiple-image formation by Fresnel-Dirac sampling," Appl. Opt. 34, 299-302 (1995). [CrossRef] [PubMed]
  15. H. Hamam, "Applet for various types of TAILs." Links for other TAILs and applications associated with them are at www.umoncton.ca/genie/electrique/Cours/Hamam/Optics/Talbot/Tail.htm.
  16. H. Hamam, "Applet for designing TAIL with arbitrary fan-outs and topologies." Other links for TAIL designs and applications are also given at www.umoncton.ca/genie/electrique/Cours/Hamam/Optics/Talbot/ArbiTail.htm.
  17. E. Ioseliani, "Fresnel diffraction by two-dimensional periodic structures," Opt. Spectrosc. 55, 544-547 (1983).

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.


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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited