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

  • Vol. 19, Iss. 12 — Dec. 1, 2002
  • pp: 2414–2423

Arbitrary spot location diffractive beam-splitting elements

Sven Bühling and Frank Wyrowski  »View Author Affiliations


JOSA A, Vol. 19, Issue 12, pp. 2414-2423 (2002)
http://dx.doi.org/10.1364/JOSAA.19.002414


View Full Text Article

Acrobat PDF (673 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Diffractive beam-splitting elements are typically designed for replicating beams on positions belonging to an equidistant grid in the spatial spectrum. The parameter of the output grid follows directly from the period of the beam-splitter transmission through the grating equation. Our objective is to develop design strategies allowing a more accurate positioning of the replicated beams. Issues occurring when the output grid parameter is decreased below the output beam width are discussed and shown to be avoidable. Furthermore, a design algorithm is introduced, which permits an arbitrary positioning of the replicated beams. This algorithm is constructed for high computational efficiency by utilizing fast Fourier transform operations in the major part of its iterations.

© 2002 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1970) Diffraction and gratings : Diffractive optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(220.4830) Optical design and fabrication : Systems design

Citation
Sven Bühling and Frank Wyrowski, "Arbitrary spot location diffractive beam-splitting elements," J. Opt. Soc. Am. A 19, 2414-2423 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-12-2414


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. H. Dammann and K. Görtler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971).
  2. H. Dammann and E. Klotz, “Coherent optical generation and inspection of two-dimensional periodic structures,” Opt. Acta 24, 505–515 (1977).
  3. D. Mendlovic, I. Ouzieli, I. Kiryuschev, and E. Marom, “Two-dimensional wavelet transform achieved by computer-generated multireference matched filter and Damman grating,” Appl. Opt. 34, 8213–8219 (1995).
  4. J. N. Mait and K. Brenner, “Optical symbolic substitution: system design using phase-only holograms,” Appl. Opt. 27, 1692–1700 (1988).
  5. Z. Wen, P. Yeh, and X. Yang, “Modified two-dimensional hamming neuronal network and its optical implementation using Dammann gratings,” Opt. Eng. 35, 2136–2144 (1996).
  6. J. Jahns, M. M. Downs, M. E. Prise, N. Streibl, and S. J. Walker, “Dammann gratings for laser beam shaping,” Opt. Eng. 28, 1267–1275 (1989).
  7. D. Prongue, H. P. Herzig, R. Dändliker, and M. T. Gale, “Optimized kinoform structures for highly efficient fan-out elements,” Appl. Opt. 31, 5706–5711 (1992).
  8. U. Krackhardt, J. N. Mait, and N. Streibl, “Upper bound on the diffraction efficiency of phase-only fanout elements,” Appl. Opt. 31, 27–37 (1992).
  9. H. Aagedal, F. Wyrowski, and M. Schmid, “Paraxial beam splitting and shaping,” in Diffractive Optics for Industrial and Commercial Applications, J. Turunen and F. Wyrowski, eds. (Akademie, Berlin, 1997), Chap. 6, pp. 165–188.
  10. E. O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N.J., 1974).
  11. J. Bengtsson, “Design of fan-out kinoforms in the entire scalar diffraction regime with an optimal-rotation-angle method,” Appl. Opt. 36, 8435–8444 (1997).
  12. E. Noponen, J. Turunen, and F. Wyrowski, “Synthesis of paraxial-domain diffractive elements by rigorous electromagnetic theory,” J. Opt. Soc. Am. A 12, 1128–1133 (1995).
  13. J. Bengtsson, N. Eriksson, and A. Larsson, “Small-feature-size fan-out kinoform etched in GaAs,” Appl. Opt. 35, 801–806 (1996).
  14. M. E. Testorf and M. A. Fiddy, “Efficient optimization of diffractive optical elements based on rigorous diffraction models,” J. Opt. Soc. Am. A 18, 2908–2914 (2001).
  15. J. Bengtsson, “Kinoforms designed to produce different fan-out patterns for two wavelengths,” Appl. Opt. 37, 2011–2020 (1998).
  16. Y. Ogura, N. Shirai, and J. Tunida, “Wavelength-multiplexing diffractive phase elements: design, fabrication, and performance evaluation,” J. Opt. Soc. Am. A 18, 1082–1092 (2001).
  17. J. Bengtsson and M. Johansson, “Fan-out diffractive optical elements designed for increased fabrication tolerances to linear relief depth errors,” Appl. Opt. 41, 281–289 (2002).
  18. J. W. Goodmann, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  19. F. Wyrowski and H. Aagedal, “Wave transformation by physical-optics system design,” Int. J. Optoelectron. 12, 127–143 (1998).
  20. J. Turunen and F. Wyrowski, “Introduction to diffractive optics,” in Diffractive Optics for Industrial and Commercial Applications, J. Turunen and F. Wyrowski, eds. (Akademie, Berlin, 1997), Chap. 1, pp. 1–57.
  21. H. Aagedal and F. Wyrowski, “On pixel-oriented structure parametrization for design of diffractive elements,” J. Mod. Opt. 45, 1451–1464 (1998).
  22. F. Wyrowski, “Diffractive optical elements: iterative calculation of quantized, blazed phase structures,” J. Opt. Soc. Am. A 7, 961–969 (1990).
  23. F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. D. Fabrizio, and M. Gentili, “Analytical derivation of the optimum triplicator,” Opt. Commun. 157, 13–18 (1998).
  24. A. Levi and H. Stark, “Image restoration by the method of generalized projections with application to restoration from magnitude,” J. Opt. Soc. Am. A 1, 932–943 (1984).

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