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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 19 — Sep. 15, 2008
  • pp: 14853–14861

Hologram optimization for SLM-based reconstruction with regard to polarization effects

C. Kohler, T. Haist, X. Schwab, and W. Osten  »View Author Affiliations

Optics Express, Vol. 16, Issue 19, pp. 14853-14861 (2008)

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We report on first results obtained with two modified hologram optimization algorithms. These algorithms take into account the complex modulation characteristic of the spatial light modulators employed for hologram reconstruction. To this end the Jones matrices of the modulator as well as all other components of the setup are used within a modified direct binary search and an iterative Fourier transform algorithm. Geometrical phase effects are included in the optimization. Elimination of the analyzer behind the spatial light modulator is possible by that approach and for typical setups using twisted-nematic liquid crystal modulators an enhanced overall diffraction efficiency is achieved. Possible applications are the comparative digital holography and optical tweezers. Experimental results for the reconstructions of holograms with a Holoeye LC-R 3000 modulator are presented.

© 2008 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.2890) Holography : Holographic optical elements
(230.4110) Optical devices : Modulators
(230.6120) Optical devices : Spatial light modulators
(090.1995) Holography : Digital holography
(070.6120) Fourier optics and signal processing : Spatial light modulators

ToC Category:

Original Manuscript: June 19, 2008
Revised Manuscript: August 29, 2008
Manuscript Accepted: August 31, 2008
Published: September 5, 2008

Virtual Issues
Vol. 3, Iss. 11 Virtual Journal for Biomedical Optics

C. Kohler, T. Haist, X. Schwab, and W. Osten, "Hologram optimization for SLM-based reconstruction with regard to polarization effects," Opt. Express 16, 14853-14861 (2008)

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  1. K.-P. Proll, J.-M. Nivet, K. K¨orner and H. J. Tiziani, "Microscopic three-dimensional topometry with ferroelectric liquid-crystal-on-silicon displays," Appl. Opt. 42, 1773-1778 (2003). [CrossRef] [PubMed]
  2. J. Liesener, M. Reicherter, T. Haist and H. J. Tiziani, "Multi-functional optical tweezers using computergenerated holograms," Opt. Commun. 185, 77-82 (2000). [CrossRef]
  3. W. Osten, T. Baumbach and W. J¨uptner, "Comparative digital holography," Opt. Lett. 27, 1764-1766 (2002). [CrossRef]
  4. K. Choi, H. Kim, and B. Lee, "Full-color autostereoscopic 3D display system using colordispersion- compensated synthetic phase holograms," Opt. Express 12, 5229-5236 (2004). [CrossRef] [PubMed]
  5. J. L. Pezzaniti and R. A. Chipman, "Phase-only modulation of a twisted nematic liquid-crystal TV by use of the eigenpolarization states," Opt. Lett. 18, 1567-1569 (1993). [CrossRef] [PubMed]
  6. L. G. Neto, D. Roberge and Y. Sheng, "Programmable optical phase-mostly holograms with coupled-mode modulation liquid-crystal television," Appl. Opt. 34, 1944-1950 (1995). [CrossRef] [PubMed]
  7. J. A. Davis, I. Moreno and P. Tsai, "Polarization eigenstates for twisted-nematic liquid-crystal displays," Appl. Opt. 37, 937-945 (1998). [CrossRef]
  8. I. Moreno, P. Velasquez, C. R. Fernandez-Pousa, M. M. Sanchez-Lopez and F. Mateos, "Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display," J. Appl. Phys. 943697-3702 (2003). [CrossRef]
  9. J. E. Bigelow and R. A. Kashnow, "Poincare sphere analysis of liquid crystal optics," Appl. Opt. 16, 2090-2096 (1977). [CrossRef] [PubMed]
  10. J. A. Davis, J. Nicols and A. Marquez, "Phasor analysis of eigenvector generated in liquid-crystal displays," Appl. Opt. 41, 4579-4584 (2002). [CrossRef] [PubMed]
  11. M. Yamauchi, A. Marquez, J. A. Davis and D. J. Franich, "Interferometric phase measurements for polarization eigenvectors in twisted nematic liquid crystal spatial light modulators," Opt. Commun. 181, 1-6 (2000). [CrossRef]
  12. V. Duran, J. Lancis, E. Tajahuerce and M. Fernndez-Alonso, "Phase-only modulation with a twisted nematic liquid crystal display by means of equi-azimuth polarization states," Opt. Express 14, 5607-5616 (2006). [CrossRef] [PubMed]
  13. X. Zhu, Q. Hong, Y. Huang and S.-T. Wu, "Eigenmodes of a reflective twisted-nematic liquid-crystal cell," J. Appl. Phys. 94, 2868-2873 (2003). [CrossRef]
  14. B. E. A. Saleh: "Theory and Design of the liquid crystal TV as an optical spatial phase modulator," Opt. Express 29, 240-246 (1990).
  15. P. Yeh, "Extended Jones matrix method," J. Opt. Soc. Am. 72, 507- (1982). [CrossRef]
  16. F. H. Yu and H. S. Kwok, "Comparison of extended Jones matrices for twisted nematic liquid-crystal displays at oblique angles of incidence," J. Opt. Soc. Am. 16, 2772-2780 (1999). [CrossRef]
  17. A. M???arquez, J. Campos, M. J. Yzuel, I. Moreno, J. A. Davis, C. Iemmi, A. Moreno and A. Robert, "Characterization of edge effects in twisted nematic liquid crystal displays," Opt. Express 39, 3301-3307 (2000).
  18. A. Marquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos and M. J. Yzuel, "Quantitative predict of the modulation behavior of twisted nematic liquid crystal displays based on a simple physical model," Opt. Eng. 40, 2558-2564 (2001). [CrossRef]
  19. C. Kohler, X. Schwab and W. Osten, "Optimally tuned spatial light modulators for digital holography," Appl. Opt. 45, 960-967 (2006). [CrossRef] [PubMed]
  20. P. Hariharan, H. Remachandran, K. A. Suresh and J. Samuel, "The Pancharatnam phase as a strictly geometric phase: A demonstration using pure projections," J. Mod. Opt. 44, 707-713 (1997). [CrossRef]
  21. G. Wernicke, M. D¨urr, H. Gruber, A. Hermerschmidt, S. Kr¨uger and A. Langner, "High resolution optical reconstruction of digital holograms," Proc. Fringe 2005, 480-487, Springer (2005).
  22. V. Duran, J. Lancis, E. Tajahuerce and V. Climent, "Poincare sphere method for optimizing the phase modulation response of a twisted nematic liquid crystal display," J. Display Technol. 3, 9-14 (2007). [CrossRef]
  23. H. Schmitzer, S. Klein and W. Dultz, "Nonlinearity of Pancharatnam???s topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993). [CrossRef] [PubMed]
  24. N. Yoshikawa and T. Yatagai, "Phase optimization of a kinoform using simulated annealing," Appl. Opt. 33, 863-868 (1994). [CrossRef] [PubMed]
  25. N. Yoshikawa, M. Itoh and T. Yatagai, "Quantized phase optimization of two dimensional Fourier kinoforms by a genetic algorithm," Opt. Lett. 20, 752-754 (1995). [CrossRef] [PubMed]
  26. T. Haist, T. M. Sch¨onleber and H. J. Tiziani, "Computer-generated holograms from 3D-objects written on twistednematic liquid crystal displays," Opt. Commun. 140, 299-308 (1997). [CrossRef]
  27. C. Stolz, L. Bigu???e and P. Ambs, "Implementation of high-resolution diffractive optical elements on coupled phase and amplitude spatial light modulators," Appl. Opt. 40, 6415-6424 (2001). [CrossRef]
  28. M. A. Seldowitz, J. P. Allebach and D. W. Sweeney, "Synthesis of digital holograms by direct binary search," Appl. Opt. 26, 2788-2798 (1987). [CrossRef] [PubMed]
  29. B. B. Chhetri, S. Yang and T. Shimomura, "Stochastic approach in the efficient design of the direct-binary-search algorithm for hologram synthesis," Appl. Opt. 39, 5956-5964 (2000). [CrossRef]
  30. F. Wyrowski and O. Bryngdahl, "Iterative Fourier-transform algorithm applied to computer holography," J. Opt. Soc. Am. 5, 1058-1065 (1988). [CrossRef]
  31. C. Soutar and K. Lu, "Determination of the physical properties of an arbitrary twisted-nematic liquid crystal cell," Opt. Express 33, 2704-2712 (1994).
  32. Z. Zhang, G. Lu and F. T. S. Yu, "Simple method for measuring phase modulation in liquid crystal televisions," Opt. Express 33, 3018-3022 (1994).
  33. G. Bader, R. Brkle, E. Lueder, N. Fruehauf and C. Zeile, "Fast and accurate techniques for measuring the complex transmittance of liquid crystal valves," Proc. SPIE 3015, 93-104 (1997). [CrossRef]
  34. A. Michalkiewicz, M. Kujawinska, J. Kretzel, L. Salbut, X. Wang, and P. J. Bos, "Phase manipulation and optoelectronic reconstruction of digital holograms by means of LCOS spatial light modulator," Proc. SPIE 5776, 144152 (2005).
  35. G. O. Reynolds, J. B. DeVelis, G. B. Parrent, Jr. and B. J. Thompson: The New Physical Optics Notebook: Tutorials in Fourier Optics, (SPIE Press, 1989).
  36. W. Freude and G. K. Grau, "Rayleigh-Sommerfeld and Helmholtz-Kirchhoff Integrals: Application to the Scalar and Vectorial Theory of Wave Propagation and Diffraction," J. Lightwave Technol. 13, 24-32 (1995). [CrossRef]
  37. W. Singer, M. Totzeck and H. Gross, Handbook of optical systems 2: physical image formation (Wiley-VCH, Weinheim, 2005).
  38. C. Kohler, X. Schwab, W. Osten and T. Baumbach, "Characterization of liquid crystal spatial light modulators for the reconstruction of digital holograms (in german: Charakterisierung von Flssigkristalllichtmodulatoren f¨ur die Rekonstruktion digitaler Hologramme)," Technisches Messen 73, 157-165 (2006). [CrossRef]

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