Abstract

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

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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]

2007 (1)

2006 (3)

C. Kohler, X. Schwab and W. Osten, "Optimally tuned spatial light modulators for digital holography," Appl. Opt. 45, 960-967 (2006).
[CrossRef] [PubMed]

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]

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]

2005 (1)

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).

2004 (1)

2003 (3)

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]

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]

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]

2002 (2)

2001 (2)

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]

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]

2000 (4)

J. Liesener, M. Reicherter, T. Haist and H. J. Tiziani, "Multi-functional optical tweezers using computergenerated holograms," Opt. Commun. 185, 77-82 (2000).
[CrossRef]

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]

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).

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]

1999 (1)

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]

1998 (1)

1997 (3)

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]

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]

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]

1995 (3)

1994 (3)

N. Yoshikawa and T. Yatagai, "Phase optimization of a kinoform using simulated annealing," Appl. Opt. 33, 863-868 (1994).
[CrossRef] [PubMed]

C. Soutar and K. Lu, "Determination of the physical properties of an arbitrary twisted-nematic liquid crystal cell," Opt. Express 33, 2704-2712 (1994).

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).

1993 (2)

1990 (1)

B. E. A. Saleh: "Theory and Design of the liquid crystal TV as an optical spatial phase modulator," Opt. Express 29, 240-246 (1990).

1988 (1)

F. Wyrowski and O. Bryngdahl, "Iterative Fourier-transform algorithm applied to computer holography," J. Opt. Soc. Am. 5, 1058-1065 (1988).
[CrossRef]

1987 (1)

1977 (1)

Allebach, J. P.

Bader, G.

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]

Baumbach, T.

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]

W. Osten, T. Baumbach and W. J¨uptner, "Comparative digital holography," Opt. Lett. 27, 1764-1766 (2002).
[CrossRef]

Bigelow, J. E.

Bos, P. J.

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).

Brkle, R.

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]

Bryngdahl, O.

F. Wyrowski and O. Bryngdahl, "Iterative Fourier-transform algorithm applied to computer holography," J. Opt. Soc. Am. 5, 1058-1065 (1988).
[CrossRef]

Campos, J.

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]

Chhetri, B. B.

Chipman, R. A.

Choi, K.

Climent, V.

Davis, J. A.

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]

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]

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]

J. A. Davis, I. Moreno and P. Tsai, "Polarization eigenstates for twisted-nematic liquid-crystal displays," Appl. Opt. 37, 937-945 (1998).
[CrossRef]

Dultz, W.

H. Schmitzer, S. Klein and W. Dultz, "Nonlinearity of Pancharatnam???s topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef] [PubMed]

Duran, V.

Fernandez-Pousa, C. R.

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]

Fernndez-Alonso, M.

Franich, D. J.

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]

Freude, W.

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]

Fruehauf, N.

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]

Grau, G. K.

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]

Haist, T.

J. Liesener, M. Reicherter, T. Haist and H. J. Tiziani, "Multi-functional optical tweezers using computergenerated holograms," Opt. Commun. 185, 77-82 (2000).
[CrossRef]

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]

Hariharan, P.

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]

Hong, Q.

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]

Huang, Y.

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]

Iemmi, C.

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]

Itoh, M.

J¨uptner, W.

K¨orner, K.

Kashnow, R. A.

Kim, H.

Klein, S.

H. Schmitzer, S. Klein and W. Dultz, "Nonlinearity of Pancharatnam???s topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef] [PubMed]

Kohler, C.

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]

C. Kohler, X. Schwab and W. Osten, "Optimally tuned spatial light modulators for digital holography," Appl. Opt. 45, 960-967 (2006).
[CrossRef] [PubMed]

Kretzel, J.

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).

Kujawinska, M.

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).

Kwok, H. S.

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]

Lancis, J.

Lee, B.

Liesener, J.

J. Liesener, M. Reicherter, T. Haist and H. J. Tiziani, "Multi-functional optical tweezers using computergenerated holograms," Opt. Commun. 185, 77-82 (2000).
[CrossRef]

Lu, G.

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).

Lu, K.

C. Soutar and K. Lu, "Determination of the physical properties of an arbitrary twisted-nematic liquid crystal cell," Opt. Express 33, 2704-2712 (1994).

Lueder, E.

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]

Marquez, A.

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]

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]

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]

Mateos, F.

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]

Michalkiewicz, A.

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).

Moreno, I.

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]

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]

J. A. Davis, I. Moreno and P. Tsai, "Polarization eigenstates for twisted-nematic liquid-crystal displays," Appl. Opt. 37, 937-945 (1998).
[CrossRef]

Neto, L. G.

Nicols, J.

Nivet, J.-M.

Osten, W.

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]

C. Kohler, X. Schwab and W. Osten, "Optimally tuned spatial light modulators for digital holography," Appl. Opt. 45, 960-967 (2006).
[CrossRef] [PubMed]

W. Osten, T. Baumbach and W. J¨uptner, "Comparative digital holography," Opt. Lett. 27, 1764-1766 (2002).
[CrossRef]

Pezzaniti, J. L.

Proll, K.-P.

Reicherter, M.

J. Liesener, M. Reicherter, T. Haist and H. J. Tiziani, "Multi-functional optical tweezers using computergenerated holograms," Opt. Commun. 185, 77-82 (2000).
[CrossRef]

Remachandran, H.

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]

Roberge, D.

Salbut, L.

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).

Saleh, B. E. A.

B. E. A. Saleh: "Theory and Design of the liquid crystal TV as an optical spatial phase modulator," Opt. Express 29, 240-246 (1990).

Samuel, J.

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]

Sanchez-Lopez, M. M.

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]

Sch¨onleber, T. M.

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]

Schmitzer, H.

H. Schmitzer, S. Klein and W. Dultz, "Nonlinearity of Pancharatnam???s topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef] [PubMed]

Schwab, X.

C. Kohler, X. Schwab and W. Osten, "Optimally tuned spatial light modulators for digital holography," Appl. Opt. 45, 960-967 (2006).
[CrossRef] [PubMed]

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]

Seldowitz, M. A.

Sheng, Y.

Shimomura, T.

Soutar, C.

C. Soutar and K. Lu, "Determination of the physical properties of an arbitrary twisted-nematic liquid crystal cell," Opt. Express 33, 2704-2712 (1994).

Stolz, C.

Suresh, K. A.

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]

Sweeney, D. W.

Tajahuerce, E.

Tiziani, H. J.

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]

J. Liesener, M. Reicherter, T. Haist and H. J. Tiziani, "Multi-functional optical tweezers using computergenerated holograms," Opt. Commun. 185, 77-82 (2000).
[CrossRef]

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]

Tsai, P.

Velasquez, P.

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]

Wang, X.

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).

Wu, S.-T.

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]

Wyrowski, F.

F. Wyrowski and O. Bryngdahl, "Iterative Fourier-transform algorithm applied to computer holography," J. Opt. Soc. Am. 5, 1058-1065 (1988).
[CrossRef]

Yamauchi, M.

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]

Yang, S.

Yatagai, T.

Yeh, P.

P. Yeh, "Extended Jones matrix method," J. Opt. Soc. Am. 72, 507- (1982).
[CrossRef]

Yoshikawa, N.

Yu, F. H.

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]

Yu, F. T. S.

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).

Yzuel, M. J.

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]

Zeile, C.

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]

Zhang, Z.

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).

Zhu, X.

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]

Appl. Opt. (10)

N. Yoshikawa and T. Yatagai, "Phase optimization of a kinoform using simulated annealing," Appl. Opt. 33, 863-868 (1994).
[CrossRef] [PubMed]

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]

J. A. Davis, I. Moreno and P. Tsai, "Polarization eigenstates for twisted-nematic liquid-crystal displays," Appl. Opt. 37, 937-945 (1998).
[CrossRef]

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]

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]

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]

J. E. Bigelow and R. A. Kashnow, "Poincare sphere analysis of liquid crystal optics," Appl. Opt. 16, 2090-2096 (1977).
[CrossRef] [PubMed]

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]

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]

C. Kohler, X. Schwab and W. Osten, "Optimally tuned spatial light modulators for digital holography," Appl. Opt. 45, 960-967 (2006).
[CrossRef] [PubMed]

J. Appl. Phys. (2)

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]

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]

J. Display Technol. (1)

J. Lightwave Technol. (1)

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]

J. Mod. Opt. (1)

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]

J. Opt. Soc. Am. (2)

F. Wyrowski and O. Bryngdahl, "Iterative Fourier-transform algorithm applied to computer holography," J. Opt. Soc. Am. 5, 1058-1065 (1988).
[CrossRef]

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]

Opt. Commun. (3)

J. Liesener, M. Reicherter, T. Haist and H. J. Tiziani, "Multi-functional optical tweezers using computergenerated holograms," Opt. Commun. 185, 77-82 (2000).
[CrossRef]

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]

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]

Opt. Eng. (1)

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]

Opt. Express (6)

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).

B. E. A. Saleh: "Theory and Design of the liquid crystal TV as an optical spatial phase modulator," Opt. Express 29, 240-246 (1990).

C. Soutar and K. Lu, "Determination of the physical properties of an arbitrary twisted-nematic liquid crystal cell," Opt. Express 33, 2704-2712 (1994).

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).

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]

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]

Opt. Lett. (3)

Phys. Rev. Lett. (1)

H. Schmitzer, S. Klein and W. Dultz, "Nonlinearity of Pancharatnam???s topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef] [PubMed]

Proc. SPIE (2)

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]

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).

Technisches Messen (1)

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]

Other (4)

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).

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).

W. Singer, M. Totzeck and H. Gross, Handbook of optical systems 2: physical image formation (Wiley-VCH, Weinheim, 2005).

P. Yeh, "Extended Jones matrix method," J. Opt. Soc. Am. 72, 507- (1982).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

Procedure of the advanced DBS hologram optimization. SchemaDBS.eps

Fig. 2.
Fig. 2.

Procedure of the advanced IFTA hologram optimization. SchemaIFTAJones.eps

Fig. 3.
Fig. 3.

Reconstructed ITO-Logos: (a) without analyzer (setup #3), (b) optimal setting, display in phase-only mode (setup #2, table 1).

Tables (3)

Tables Icon

Table 1. Simulated diffraction efficiencies for the IFTA optimized holograms reconstructing three spots. The angles are given relative to the modulators frame. Where 0 equals the vertical axis i.e. the modulator’s shorter side. Positive angles are given counterclockwise in the direction with the positive z-axis pointing in the light direction.

Tables Icon

Table 2. Measured transmittance of the setup using different experimental settings of polarization elements (normalized to setup #3), as well as the estimated transmittance with an lossless crystal polarizer.

Tables Icon

Table 3. Diffraction efficiencies achieved with the setups (@532 nm) not taking into account the transmittance (compare table 2).

Equations (1)

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ϕ ( G 1 , G 0 ) ϕ ( G 2 , G 0 ) ϕ ( G 1 , G 2 )

Metrics