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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 23 — Aug. 10, 2007
  • pp: 5779–5783

Extended algorithm for the design of diffractive optical elements around the focal plane

Rong Wu, Fang-jie Shu, Wei Zhang, Xiao-bo Zhang, and Yong-Ping Li  »View Author Affiliations

Applied Optics, Vol. 46, Issue 23, pp. 5779-5783 (2007)

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We present a multiplane algorithm for three-dimensional uniform illumination. The large-diameter diffractive optical element simulated by this algorithm homogeneously concentrates more than 86.5% of the incident energy into a 200 μ m length of columnar space around the focal plane. The intensity profile in the whole space is nearly flattop, and the beam's quality measured by the root mean square is less than 20.6%. The algorithm is very useful if a great deal of tolerance is required for the installation error of the optical system or if it is used for some particular application, such as uniform illumination on an incline plane.

© 2007 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(100.5070) Image processing : Phase retrieval
(140.3300) Lasers and laser optics : Laser beam shaping

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: January 4, 2007
Revised Manuscript: April 24, 2007
Manuscript Accepted: May 18, 2007
Published: August 8, 2007

Rong Wu, Fang-jie Shu, Wei Zhang, Xiao-bo Zhang, and Yong-Ping Li, "Extended algorithm for the design of diffractive optical elements around the focal plane," Appl. Opt. 46, 5779-5783 (2007)

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  1. M. A. Kutay and H. W. Ozoktas, "Optimal filtering in fractional Fourier domains," IEEE Trans. Signal Process. 45, 1129-1143 (1997). [CrossRef]
  2. W. Wang and T. Li, "Design of large-caliber phase element used in ICF," Chin. J. Lasers A26, 395-399 (1999).
  3. W. Wang and T. Li, "A hybrid algorithm for the design of DOE in uniform illumination," Opt. Commun. 181, 261-265 (2000). [CrossRef]
  4. R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik 35, 237-246 (1972).
  5. J. R. Fienup, "Iterative method applied to image reconstruction and to computer-generated holograms," Opt. Eng. 19, 297-305 (1980).
  6. M. P. Chang and O. K. Erosy. "The modified input-output algorithm for the synthesis of computer generated holograms," Optik 95, 155-160 (1994).
  7. X. G. Deng and Y. P. Li, "Phase-mixture algorithm applied to the design of pure phase elements," Chin. J. Lasers B4, 447-454 (1995).
  8. K. Matsushima, H. Schimmel, and F. Wyrowski, "Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves," J. Opt. Soc. Am. A 20, 1755-1762 (2003). [CrossRef]
  9. S. De Nicola, A. Finizio, and G. Pierattini, "Angular spectrum method with correction of anamorphism for numerical reconstruction of digital holograms on tilted planes," Opt. Express 13, 9935-9940 (2005). [CrossRef] [PubMed]
  10. Z. Liu, A. Flores, M. R. Wang, and J. J. Yang, "Diffractive infrared lens with extended depth of focus," Opt. Eng. 46, 018002 (2007). [CrossRef]
  11. R. S. Denis, N. Passilly, and M. Laroche, "Beam-shaping longitudinal range of a binary diffractive optical element," Appl. Opt. 45, 8136-8141 (2006). [CrossRef]
  12. Y. S. Chen, J. J. Zhang, and N. K. Bai, "An adjacent sequence iteration method for designing a diffractive element with function of large depth of focus," Acta Photonica Sin. 32, 269-271 (2003).
  13. O. F. Tan, Y. B. Yan, and G. F. Jing, "Diffractive optical elements to realize uniform illumination in inclined planes at different angles," Acta Photonica Sin. 29, 431-435 (2000).
  14. W. Zhang, X. B. Zhang, and F. J. Shu, "Design of diffractive optical elements by step iterative algorithm," High Power Laser Part. Beams 17, 1665-1668 (2005).
  15. Y. P. Li, R. Wu, and X. B. Zhang, "Beam smoothing on oblique surface after focus plane," Proc. SPIE 5876, 121-127 (2005). [CrossRef]
  16. J. W. Goodman, Introduction to Fourier Optics, 1st ed. (McGraw-Hill, 1968), pp. 54-59.

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