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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 26 — Dec. 30, 2013
  • pp: 32019–32031

CGH calculation with the ray tracing method for the Fourier transform optical system

Tsubasa Ichikawa, Takuo Yoneyama, and Yuji Sakamoto  »View Author Affiliations

Optics Express, Vol. 21, Issue 26, pp. 32019-32031 (2013)

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Computer-generated holograms (CGHs) are usually displayed on electronic devices. However, the resolution of current output devices is not high enough to display CGHs, so the visual field is very narrow. A method using a Fourier transform optical system has been proposed, to enlarge the size of reconstructed images. This paper describes a method of CGH calculations for the Fourier transform optical system to enlarge the visual field and reconstruct realistic images by using the ray tracing method. This method reconstructs images at arbitrary depths and also eliminates unnecessary light including zero-th order light.

© 2013 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display
(090.1705) Holography : Color holography

ToC Category:

Original Manuscript: October 16, 2013
Revised Manuscript: December 8, 2013
Manuscript Accepted: December 8, 2013
Published: December 17, 2013

Tsubasa Ichikawa, Takuo Yoneyama, and Yuji Sakamoto, "CGH calculation with the ray tracing method for the Fourier transform optical system," Opt. Express 21, 32019-32031 (2013)

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  1. H. Isono and M. Yasuda, “Flicker-free field sequential stereo-scopic TV system and measurement of human depth perception,” SMPTE J.99(2), 138–141(1990).
  2. T. Motoki, I. Yayuma, H. Isono, and S. Komiyama, “Research on 3-D television system at NHK,” ABU Tech. Rev.150, 14–18 (1991).
  3. D. J. Sandin, E. Sandor, W. T. Cunnally, M. Resch, and T. A. DeFanti, “Computer-generated barrier-strip autostereography,” Proc. SPIE1083, 65–75 (1989). [CrossRef]
  4. S. Ichinose, “Fullcolor stereoscopic video pickup and display technique without special glasses,” Proc.SID30-4, 319–323 (1989).
  5. M. G. Lippmann, “Epreuves reversible donnant la sensation du relief,” J. de Phys.7(4), 821–825 (1908).
  6. Y. Takaki, “Super multi-view display with 128 viewpoints and viewpoint formation,” Proc. SPIE7237, 72371T (2009). [CrossRef]
  7. D. Gabor, “A new microscopic principle,” Nature161, 777–778 (1948). [CrossRef] [PubMed]
  8. K. Matsushima and S. Nakahara, “Extremely high-defintion full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt.48, H54–H63 (2009). [CrossRef] [PubMed]
  9. R. H.-Y. Chen and T. D. Wilkinson, “Computer generated hologram with geometric occlusion using GPU-accelerated depth buffer rasterization for three-dimensional display,” Appl. Opt.48, 4246–4255 (2009). [CrossRef] [PubMed]
  10. H. Kim, J. Hahn, and B. Lee, “Mathematical modeling of digital holography,” Appl. Opt.48, D117–D127 (2008). [CrossRef]
  11. K. Matsushima, “Computer-generated holograms for three-dimensional surface objects with shade and texture,” Appl. Opt.44, 4607–4614 (2005). [CrossRef] [PubMed]
  12. K. Yamaguchi and Y. Sakamoto, “Computer generated hologram with characteristics of reflection: reflectance distributions and reflected images,” Appl. Opt.48, H203–H211 (2005). [CrossRef]
  13. T. Ichikawa, K. Yamaguchi, and Y. Sakamoto, “Realistic expression for full-parallax computer-generated holograms with the ray tracing method,” Appl. Opt.52, A201–A209 (2013). [CrossRef] [PubMed]
  14. R. Haussler, S. Reichlet, N. Leister, E. Zchau, R. Missbach, and A. Schwerdtner, “Large real-time holographic displays: from prototypes to a consumer product,” Proc. SPIE7237, 72370S (1989). [CrossRef]
  15. J. Hahn, H. Kim, Y. Lim, G. Park, and B. Lee, “Wide viewing angle dynamic holographic stereogram with a curved array of spatial light modulators,” Opt. Express16, 12372–12386 (2008). [CrossRef] [PubMed]
  16. T. Senoh, T. Mishima, K. Yamamoto, R. Oi, and T. Kurita, “Viewing-zone-angle-expanded color electronic holography system using ultra-high-definition liquid crystal displays with undesirable light elimination,” J. Display Technol.7(7), 382–390 (2011). [CrossRef]
  17. T. Ichikawa, K. Yamaguchi, and Y. Sakamoto, “Realistic 3D image reconstruction in CGH with Fourier transform optical sytem,” Proc. SPIE8644, 86440D (2013). [CrossRef]
  18. G. W. Stroke, “Lensless Fourier-transform method for optical holography,” Appl. Phys. Lett.6, 201–203 (1965). [CrossRef]
  19. T. Yoneyama, C. Yang, Y. Sakamoto, and F. Okuyama, “Eyepiece-type full-color electro-holographic binocular display with see-through vision,” in Digital Holography and Three-Dimensional Imaging, OSA Technical Digest (online) (Optical Society of America, 2013), paper DW2A.11. [CrossRef]

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