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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 27 — Sep. 20, 2014
  • pp: G139–G146

Anamorphic optical transformation of an amplitude spatial light modulator to a complex spatial light modulator with square pixels [Invited]

Hwi Kim, Chi-Young Hwang, Kwang-Soo Kim, Jinyoung Roh, Woonchan Moon, Sungmin Kim, Beom-Ryoel Lee, Seungtaik Oh, and Joonku Hahn  »View Author Affiliations

Applied Optics, Vol. 53, Issue 27, pp. G139-G146 (2014)

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A method is proposed for the construction of a square pixel complex spatial light modulator (SLM) from a commercial oblong full-high-definition (full-HD) amplitude SLM using an anamorphic optical filter. In the proposed scheme, one half-band of the optical Fourier transform of the amplitude-only spatial light field is rejected in the optical Fourier plane and the other half-band is reformatted to be an effective complex SLM with square pixels. This has an advantage in the viewing window plane since the shape of the viewing window becomes square and more ideal for observers who watch the hologram contents through it. For optimal transformation, the amplitude computer generated hologram encoding scheme was developed. Mathematical modeling of the proposed system is described herein, and it was experimentally demonstrated that the effective complex SLM displays complex holographic three-dimensional images with a clear depth discrimination effect.

© 2014 Optical Society of America

OCIS Codes
(070.6110) Fourier optics and signal processing : Spatial filtering
(090.2870) Holography : Holographic display
(090.1995) Holography : Digital holography

Original Manuscript: June 4, 2014
Revised Manuscript: July 7, 2014
Manuscript Accepted: July 8, 2014
Published: August 11, 2014

Hwi Kim, Chi-Young Hwang, Kwang-Soo Kim, Jinyoung Roh, Woonchan Moon, Sungmin Kim, Beom-Ryoel Lee, Seungtaik Oh, and Joonku Hahn, "Anamorphic optical transformation of an amplitude spatial light modulator to a complex spatial light modulator with square pixels [Invited]," Appl. Opt. 53, G139-G146 (2014)

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  1. J. Hong, Y. Kim, H.-J. Choi, J. Hahn, J.-H. Park, H. Kim, S.-W. Min, N. Chen, and B. Lee, “Three-dimensional display technologies of recent interest: principles, status, and issues,” Appl. Opt. 50, H87–H115 (2011). [CrossRef]
  2. P. St.-Hilaire, S. A. Benton, M. Lucente, and P. M. Hubel, “Color images with the MIT holographic video display,” Proc. SPIE 1667, 73–84 (1992).
  3. K. Maeno, N. Fukaya, O. Nishikawa, K. Sato, and T. Honda, “Electro-holographic display using 15 mega pixels LCD,” Proc. SPIE 2652, 15–23 (1996). [CrossRef]
  4. M. Stanley, R. W. Bannister, C. D. Cameron, S. D. Coomber, I. G. Cresswell, J. R. Hughes, V. Hui, P. O. Jackson, K. A. Milham, R. J. Miller, D. A. Payne, J. Quarrel, D. C. Scattergood, A. P. Smith, M. A. Smith, D. L. Tipton, P. J. Watson, P. J. Webber, and C. W. Slinger, “100 mega-pixel computer generated holographic images from active tiling: a dynamic and scalable electro-optic modulator system,” Proc. SPIE 5005, 247–258 (2003). [CrossRef]
  5. 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. Express 16, 12372–12386 (2008). [CrossRef]
  6. G. Finke, T. Kozacki, and M. Kujawinska, “Wide viewing angle holographic display with multi spatial light modulator array,” Proc. SPIE 7723, 77230A (2010). [CrossRef]
  7. F. Yaraş, H. Kang, and L. Onural, “Circular holographic video display system,” Opt. Express 19, 9147–9156 (2011). [CrossRef]
  8. N. Leister, A. Schwerdtner, G. Füutterer, S. Buschbeck, J.-C. Olaya, and S. Flon, “Full-color interactive holographic projection system for large 3D scene reconstruction,” Proc. SPIE 6911, 69110V (2008). [CrossRef]
  9. B. R. Brown and A. W. Lohmann, “Complex spatial filtering with binary masks,” Appl. Opt. 5, 967–969 (1966). [CrossRef]
  10. C. B. Burckhardt, “A simplification of Lee’s method of generating holograms by computer,” Appl. Opt. 9, 1949 (1970). [CrossRef]
  11. V. Arrizón, G. Méndez, and D. Sánchez-de-La-Llave, “Accurate encoding of arbitrary complex fields with amplitude-only liquid crystal spatial light modulators,” Opt. Express 13, 7913–7927 (2005). [CrossRef]
  12. C. K. Hsueh and A. A. Sawchuck, “Computer-generated double phase holograms,” Appl. Opt. 17, 3874–3883 (1978). [CrossRef]
  13. H. Song, G. Sung, S. Choi, K. Won, H.-S. Lee, and H. Kim, “Optimal synthesis of double phase computer generated holograms using a phase-only spatial light modulator with grating filter,” Opt. Express 20, 29844–29853 (2012). [CrossRef]
  14. O. Bryngdahl and A. Lohmann, “Single-sideband holography,” J. Opt. Soc. Am. 58, 620–624 (1968). [CrossRef]
  15. J. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).
  16. H. Kim, J. Hahn, and B. Lee, “Mathematical modeling of triangle-mesh-modeled three-dimensional surface objects for digital holography,” Appl. Opt. 47, D117–D127 (2008). [CrossRef]
  17. D. Im, E. Moon, Y. Park, D. Lee, J. Hahn, and H. Kim, “Phase regularized polygon computer-generated holograms,” Opt. Lett. 39, 3642–3645 (2014). [CrossRef]

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