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Applied Optics

Applied Optics


  • Vol. 37, Iss. 23 — Aug. 10, 1998
  • pp: 5399–5407

Planar-integrated Talbot array illuminators

Markus Testorf and Jürgen Jahns  »View Author Affiliations

Applied Optics, Vol. 37, Issue 23, pp. 5399-5407 (1998)

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We demonstrate the planar integration of Talbot array illuminators designed to generate one-dimensional spot arrays. The array illuminator basically consists of a phase grating and a cylindrical diffractive lens integrated as a single diffractive optical element onto a transparent glass substrate. We discuss various design aspects, and we focus on problems typical for planar-integrated free-space optics like the tilted optical axis of the system. Experimental results and measurements, which were obtained from planar-integrated setups fabricated as surface-relief structures on a transparent glass substrate by use of standard photolithography, are included.

© 1998 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1380) Diffraction and gratings : Binary 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
(350.3950) Other areas of optics : Micro-optics

Original Manuscript: February 23, 1998
Revised Manuscript: May 8, 1998
Published: August 10, 1998

Markus Testorf and Jürgen Jahns, "Planar-integrated Talbot array illuminators," Appl. Opt. 37, 5399-5407 (1998)

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  1. N. Streibl, “Beam shaping with optical array generators,” J. Mod. Opt. 36, 1559–1573 (1989). [CrossRef]
  2. A. W. Lohmann, “An array illuminator based on the Talbot effect,” Optik (Stuttgart) 79, 41–45 (1988).
  3. H. Dammann, K. Görtler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971). [CrossRef]
  4. J. Mait, “Design of binary-phase and multiphase Fourier gratings for array generation,” J. Opt. Soc. Am. A 7, 1514–1528 (1990). [CrossRef]
  5. H. Machida, J. Nitta, A. Seko, H. Kobayashi, “High-efficiency fiber gratings for producing multiple beams of uniform intensity,” Appl. Opt. 23, 330–332 (1984). [CrossRef] [PubMed]
  6. N. Streibl, U. Nölscher, J. Jahns, S. Walker, “Array generation with lenslet arrays,” Appl. Opt. 30, 2739–2742 (1991). [CrossRef] [PubMed]
  7. A. W. Lohmann, J. Schwider, N. Streibl, J. Thomas, “Array illuminator based on phase contrast,” Appl. Opt. 27, 2915–2921 (1988). [CrossRef] [PubMed]
  8. L. Liu, “Talbot and Lau effects on incident beams of arbitrary wavefront, and their use,” Appl. Opt. 28, 4668–4677 (1989). [CrossRef] [PubMed]
  9. A. W. Lohmann, J. A. Thomas, “Making an array illuminator based on the Talbot effect,” Appl. Opt. 29, 4337–4340 (1990). [CrossRef] [PubMed]
  10. J. R. Leger, G. J. Swanson, “Efficient array illuminator using binary-optics phase plates at fractional Talbot planes,” Opt. Lett. 15, 288–290 (1990). [CrossRef] [PubMed]
  11. H. Hamam, “Talbot array illuminators: a general approach,” Appl. Opt. 36, 2319–2327 (1997). [CrossRef] [PubMed]
  12. V. Arrizón, J. Ojeda-Castañeda, “Multilevel phase gratings for array illuminators,” Appl. Opt. 33, 5925–5931 (1994). [CrossRef] [PubMed]
  13. H. Hamam, J. L. de Bougrenet, “Multilayer array illuminators with binary phase plates at fractional Talbot distances,” Appl. Opt. 35, 1820–1826 (1996). [CrossRef] [PubMed]
  14. J. Jahns, A. Huang, “Planar integration of free space optical components,” Appl. Opt. 28, 1602–1605 (1989). [CrossRef] [PubMed]
  15. J. Jahns, “Planar packaging of free-space optical interconnections,” Proc. IEEE 82, 1623–1631 (1994). [CrossRef]
  16. M. Testorf, J. Jahns, “Paraxial theory of planar integrated systems,” J. Opt. Soc. Am. A 14, 1569–1575 (1997). [CrossRef]
  17. M. Testorf, J. Jahns, N. A. Khilo, A. M. Goncharenko, “Talbot effect for oblique angle of light propagation,” Opt. Commun. 129, 167–172 (1996). [CrossRef]
  18. G. J. Swanson, W. B. Veldkamp, “Diffractive optical elements for use in infrared systems,” Opt. Eng. 28, 605–608 (1989). [CrossRef]
  19. T. Shiono, H. Ogawa, “Diffraction-limited blazed reflection diffractive microlenses for oblique incidence fabricated by electron-beam lithography,” Appl. Opt. 30, 3643–3649 (1991). [CrossRef] [PubMed]
  20. J. Jahns, B. Acklin, “Integrated planar optical imaging system with high interconnection density,” Opt. Lett. 18, 1594–1596 (1993). [CrossRef] [PubMed]
  21. U. Krackhardt, “Optimum quantization rules for computer generated holograms,” in Diffractive Optical Elements: Design, Fabrication, and Testing, Vol. 11 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), pp. 139–142.
  22. J. T. Winthrop, C. R. Worthington, “Theory of Fresnel images. I. Plane periodic objects in monochromatic light,” J. Opt. Soc. Am. 55, 373–381 (1965). [CrossRef]
  23. V. Arrizón, J. Ojeda-Castañeda, “Multilevel phase gratings for array illuminators,” Appl. Opt. 33, 5925–5931 (1994). [CrossRef] [PubMed]
  24. V. Arrizón, J. G. Ibarra, “Trading visibility and opening ratio in Talbot arrays,” Opt. Commun. 112, 271–277 (1994). [CrossRef]
  25. Further research investigates nonlinear numerical optimization methods to calculate optimized TAI structures. The optimization procedure can be understood mainly as a quantization algorithm for ideal TAI gratings.
  26. K. Patorski, “The self-imaging phenomenon and its applications,” Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1989), Vol. XXVII, pp. 1–108. [CrossRef]
  27. M. Testorf, J. Jahns, N. A. Khilo, A. M. Goncharenko, “Talbot effect for oblique angle of light propagation,” Opt. Commun. 132, 205–211 (1996). [CrossRef]

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