OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 25 — Dec. 3, 2012
  • pp: 27496–27502

Fast calculation of computer-generated hologram using the circular symmetry of zone plates

Takashi Nishitsuji, Tomoyoshi Shimobaba, Takashi Kakue, Nobuyuki Masuda, and Tomoyoshi Ito  »View Author Affiliations


Optics Express, Vol. 20, Issue 25, pp. 27496-27502 (2012)
http://dx.doi.org/10.1364/OE.20.027496


View Full Text Article

Enhanced HTML    Acrobat PDF (1828 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Computer-Generated Holograms (CGHs) can be generated from three-dimensional objects composed of point light sources by overlapping zone plates. A zone plate is a grating that can focus an incident wave and it has circular symmetry shape. In this study, we propose a fast CGH generating algorithm using the circular symmetry of zone plates and computer graphics techniques. We evaluated the proposed method by numerical simulation.

© 2012 OSA

OCIS Codes
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display
(090.5694) Holography : Real-time holography

ToC Category:
Holography

History
Original Manuscript: September 18, 2012
Revised Manuscript: November 8, 2012
Manuscript Accepted: November 8, 2012
Published: November 27, 2012

Citation
Takashi Nishitsuji, Tomoyoshi Shimobaba, Takashi Kakue, Nobuyuki Masuda, and Tomoyoshi Ito, "Fast calculation of computer-generated hologram using the circular symmetry of zone plates," Opt. Express 20, 27496-27502 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-25-27496


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imaging2, 28–34 (1993). [CrossRef]
  2. K. Matsushima and M. Takai, “Recurrence formulas for fast creation of synthetic three-dimensional holograms,” Appl. Opt.39, 6587–6594 (2000). [CrossRef]
  3. T. Shimobaba and T. Ito, “An efficient computational method suitable for hardware of computer-generated hologram with phase computation by addition,” Comput. Phys. Commun.138, 44–52 (2001). [CrossRef]
  4. H. Yoshikawa, “Fast Computation of Fresnel Holograms Employing Difference,” Opt. Rev.8, 331–335 (2001). [CrossRef]
  5. Y. Ichihashi, H. Nakayama, T. Ito, N. Masuda, T. Shimobaba, A. Shiraki, and T. Sugie, “HORN-6 special-purpose clustered computing system for electroholography,” Opt. Express17, 13895–13902 (2009). [CrossRef] [PubMed]
  6. T. Shimobaba, T. Ito, N. Masuda, Y. Ichihashi, and N. Takada, “Fast calculation of computer-generated-hologram on AMD HD5000 series GPU and OpenCL,” Opt. Express18, 9955–9960 (2010). [CrossRef] [PubMed]
  7. S. -C. Kim and E. -S. Kim, “Effective generation of digital holograms of three-dimensional objects using a novel look-up table method,” Appl. Opt.47, D55–D62 (2008). [CrossRef] [PubMed]
  8. S. -C. Kim, J. -M. Kim, and E. -S. Kim, “Effective memory reduction of the novel look-up table with one-dimensional sub-principle fringe pattern in computer-generated holograms,” Opt. Express20, 12021–12034 (2012). [CrossRef] [PubMed]
  9. L. Mertz and N. O. Young, “Fresnel Transformation of Images,” in Preceedings, International Conference on Optical Instruments and Techniques, K. J. Habell, Ed. (Chapman & Hall, London), 305–310 (1961).
  10. J. Bresenham, “A linear algorithm for incremental digital display of circular arcs,” Commun. ACM20, 100–106 (1977). [CrossRef]
  11. E. Andres, “Discrete circles, rings and spheres,” Comput. Graphics18, 695–706 (1994). [CrossRef]
  12. Z. Yang, Q. Fan, Y. Zhang, J. Liu, and J. Zhou, “A new method for producing computer generated holograms,” J. Opt.14, 095702 (2012). [CrossRef]
  13. J. W. Goodman, Introduction to Fourier OpticsRoberts & Company (2004).
  14. T. Shimobaba, N. Masuda, and T. Ito, “Simple and fast calculation algorithm for computer-generated hologram with wavefront recording plane,” Opt. Lett.20, 3133–3135 (2009). [CrossRef]
  15. T. Shimobaba, T. Ito, N. Masuda, Y. Ichihashi, and N. Takada, “Rapid calculation algorithm of Fresnel computer-generated-hologram using look-up table and wavefront-recording plane methods for three-dimensional display,” Opt. Express18, 19504–19509 (2010). [CrossRef] [PubMed]
  16. P. Tsang, W. -K. Cheung, T. -C. Poon, and C. Zhou, “Holographic video at 40 frames per second for 4-million object points,” Opt. Express19, 15205–15211 (2011). [CrossRef] [PubMed]
  17. J. Weng, T. Shimobaba, N Okada, H. Nakayma, M. Oikawa, N. Masuda, and T. Ito, “Generation of real-time large computer generated hologram using wavefront recording method,” Opt. Express20, 4018–4023 (2012). [CrossRef] [PubMed]
  18. P. W. M. Tsang, K. W. K Cheung, and T.-C. Poon, “Real-time relighting of digital holograms based on wavefront recording plane method,” Opt. Express20, 5962–5967 (2012). [CrossRef] [PubMed]

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.

Figures

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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited