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Applied Optics

Applied Optics


  • Vol. 35, Iss. 35 — Dec. 10, 1996
  • pp: 6875–6880

High-efficiency arbitrary array generator

David Mendlovic, Zeev Zalevsky, Gal Shabtay, and Emanuel Marom  »View Author Affiliations

Applied Optics, Vol. 35, Issue 35, pp. 6875-6880 (1996)

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Implementation of a beam-shaping system, whereby an arbitrary array of spots is generated, is proposed. The suggested beam-shaping generator, which is based on the Gerchberg–Saxton algorithm, contains two phase-only filters and thus yields a very-high-power throughput. The flexibility of the suggested approach is demonstrated with some computer simulations.

© 1996 Optical Society of America

Original Manuscript: May 20, 1996
Revised Manuscript: August 16, 1996
Published: December 10, 1996

David Mendlovic, Zeev Zalevsky, Gal Shabtay, and Emanuel Marom, "High-efficiency arbitrary array generator," Appl. Opt. 35, 6875-6880 (1996)

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  1. H. Dammann, K. Gortler, “High-efficiency in-line multiple imaging by means of multiple phase holograms,” Opt. Commun. 3, 312–315 (1971). [CrossRef]
  2. H. Dammann, E. Klotz, “Coherent-optical generation and inspection of two-dimensional periodic structures,” Opt. Acta 24, 505–515 (1977). [CrossRef]
  3. U. Killat, G. Rabe, W. Rave, “Binary phase gratings for star couplers with high splitting ratio,” Fiber Integr. Opt. 4, 159–167 (1982). [CrossRef]
  4. W. B. Veldkamp, J. R. Leger, G. J. Swanson, “Coherent summation of laser beams using binary phase gratings,” Opt. Lett. 11, 303–305 (1986). [CrossRef] [PubMed]
  5. D. Mendlovic, I. Ouzieli, I. Kiryuschev, E. Marom “Two-dimensional wavelet transform achieved by computer generated multireference matched filter and Dammann grating,” Appl. Opt. 34, 8213–8219 (1995). [CrossRef] [PubMed]
  6. L. P. Bolvin, “Multiple imaging using various types of simple phase gratings,” Appl. Opt. 11, 1782–1792 (1972). [CrossRef]
  7. M. T. Gale, M. Rossi, H. Schütz, P. Ehbets, H. P. Herzig, D. Prongué, “Continuous-relief diffractive optical elements for two-dimensional array-generation,” Appl. Opt. 32, 2526–2533 (1993). [CrossRef] [PubMed]
  8. J. Jahns, M. M. Downs, M. E. Prise, N. Streibl, S. J. Walker, “Dammann gratings for laser beam shaping,” Opt. Eng. 28, 1267–1275 (1989).
  9. Z. Zalevsky, D. Mendlovic, A. W. Lohmann, “Gerchberg–Saxton algorithm applied in the fractional Fourier or the Fresnel domain,” Opt. Lett. 21, 842–844 (1996). [CrossRef] [PubMed]
  10. E. Noel, R. R. Khan, H. S. Dhadwal, “Optical implementation of a regularized Gerchberg iterative algorithm for super resolution,” Opt. Eng. 32, 2866–2870 (1993). [CrossRef]
  11. R. W. Gerchberg, “Super resolution through error energy reduction,” Opt. Acta 21, 709–720 (1974). [CrossRef]
  12. G. Z. Yang, B. Z. Dong, B. Y. Gu, J. Y. Zhuang, O. K. Ersoy, “Gerchberg–Saxton and Yang–Gu algorithms for phase retrieval in a nonunitary transform system: a comparison,” Appl. Opt. 33, 209–218 (1994). [CrossRef] [PubMed]
  13. M. Hedley, H. Yan, D. Rosenfeld, “A modified Gerchberg–Saxton algorithm for one-dimensional motion artifact correction in MRI,” IEEE Trans. Signal Process. 39, 1428–1432 (1991). [CrossRef]
  14. R. W. Gerchberg, W. O. Saxton, “Phase determination for image and diffraction plane pictures in the electron microscope,” Optik (Stuttgart) 34, 275–284 (1971).
  15. R. W. Gerchberg, W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35, 227–246 (1972).
  16. W. O. Saxton, Computer Techniques for Image Processing in Electron Microscopy (Academic, New York, 1978).

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