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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 10 — May. 10, 2010
  • pp: 10581–10593

The minimum Euclidean distance principle applied to improve the modulation diffraction efficiency in digitally controlled spatial light modulators

A. Lizana, A. Márquez, L. Lobato, Y. Rodange, I. Moreno, C. Iemmi, and J. Campos  »View Author Affiliations


Optics Express, Vol. 18, Issue 10, pp. 10581-10593 (2010)
http://dx.doi.org/10.1364/OE.18.010581


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Abstract

Digital addressing of the electrical signal in spatial light modulators, as it is the case in present liquid crystal on silicon (LCoS) displays, may lead to temporal phase fluctuations in the optical beam. In diffractive optics applications a reduction in the modulation diffraction efficiency may be expected. Experimental work is done characterizing the fluctuations amplitude and phase depth for three different digital addressing sequences. We propose a diffractive model to evaluate the modulation diffraction efficiency of phase diffractive optical elements (DOEs) in the presence of phase fluctuations. Best results are obtained for the most stable electrical sequence even though its phase depth is as small as 280°. The results show good agreement with the numerical calculation given by the model.

© 2010 OSA

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(230.3720) Optical devices : Liquid-crystal devices
(230.6120) Optical devices : Spatial light modulators

ToC Category:
Optical Devices

History
Original Manuscript: January 8, 2010
Revised Manuscript: February 12, 2010
Manuscript Accepted: March 1, 2010
Published: May 6, 2010

Citation
A. Lizana, A. Márquez, L. Lobato, Y. Rodange, I. Moreno, C. Iemmi, and J. Campos, "The minimum Euclidean distance principle applied to improve the modulation diffraction efficiency in digitally controlled spatial light modulators," Opt. Express 18, 10581-10593 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-10-10581


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References

  1. J. Turunen and F. Wyrowski eds., Diffractive Optics for Industrial and Commercial Applications, (Akademie Verlag, Berlin, 1997).
  2. H. J. Coufal, D. Psaltis, and B. T. Sincerbox, eds., Holographic Data Storage, (Springer-Verlag, Berlin, 2000).
  3. W. Osten, C. Kohler, and J. Liesener, “Evaluation and application of spatial light modulators for optical metrology,” Opt. Pura Apl. 38, 71–81 (2005).
  4. S. T. Wu, and D. K. Yang, Reflective Liquid Crystal Displays, (John Wiley and Sons Inc., Chichester, 2005).
  5. A. Hermerschmidt, S. Osten, S. Krüger, and T. Blümel, “Wave front generation using a phase-only modulating liquid-crystalbased micro-display with HDTV resolution,” Proc. SPIE 6584, 65840E (2007). [CrossRef]
  6. J. R. Moore, N. Collings, W. A. Crossland, A. B. Davey, M. Evans, A. M. Jeziorska, M. Komarčević, R. J. Parker, T. D. Wilkinson, and H. Xu, “The silicon backplane design for an LCOS polarization-insensitive phase hologram SLM,” IEEE Photon. Technol. Lett. 20(1), 60–62 (2008). [CrossRef]
  7. I. Moreno, A. Lizana, A. Márquez, C. Iemmi, E. Fernández, J. Campos, and M. J. Yzuel, “Time fluctuations of the phase modulation in a liquid crystal on silicon display: characterization and effects in diffractive optics,” Opt. Express 16(21), 16711–16722 (2008). [CrossRef] [PubMed]
  8. A. Lizana, I. Moreno, A. Márquez, E. Also, C. Iemmi, J. Campos, and M. J. Yzuel, “Influence of the temporal fluctuations phenomena on the ECB LCoS performance,” Proc. SPIE 7442, 74420G–1 (2009). [CrossRef]
  9. J. E. Wolfe and R. A. Chipman, “Polarimetric characterization of liquid-crystal-on-silicon panels,” Appl. Opt. 45(8), 1688–1703 (2006). [CrossRef] [PubMed]
  10. A. Márquez, I. Moreno, C. Iemmi, A. Lizana, J. Campos, and M. J. Yzuel, “Mueller-Stokes characterization and optimization of a liquid crystal on silicon display showing depolarization,” Opt. Express 16(3), 1669–1685 (2008). [CrossRef] [PubMed]
  11. A. Lizana, A. Márquez, I. Moreno, C. Iemmi, J. Campos, and M. J. Yzuel, “Wavelength dependence of polarimetric and phase-shift characterization of a liquid crystal on silicon display,” J. Eur. Opt. Soc. – Rapid Pub . 3, 08011 1–6 (2008).
  12. A. Lizana, I. Moreno, C. Iemmi, A. Márquez, J. Campos, and M. J. Yzuel, “Time-resolved Mueller matrix analysis of a liquid crystal on silicon display,” Appl. Opt. 47(23), 4267–4274 (2008). [CrossRef] [PubMed]
  13. K. Lu and B. E. A. Saleh, “Theory and design of the liquid crystal TV as an optical spatial phase modulator,” Opt. Eng. 29(3), 240–246 (1990). [CrossRef]
  14. 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(18), 1567–1569 (1993). [CrossRef] [PubMed]
  15. J. A. Davis, I. Moreno, and P. Tsai, “Polarization eigenstates for twisted-nematic liquid-crystal displays,” Appl. Opt. 37(5), 937–945 (1998). [CrossRef]
  16. A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, “Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays based on a simple physical model,” Opt. Eng. 40(11), 2558–2564 (2001). [CrossRef]
  17. P. Clemente, V. Durán, L. Martínez-León, V. Climent, E. Tajahuerce, and J. Lancis, “Use of polar decomposition of Mueller matrices for optimizing the phase response of a liquid-crystal-on-silicon display,” Opt. Express 16(3), 1965–1974 (2008). [CrossRef] [PubMed]
  18. I. Moreno, A. Lizana, J. Campos, A. Márquez, C. Iemmi, and M. J. Yzuel, “Combined Mueller and Jones matrix method for the evaluation of the complex modulation in a liquid-crystal-on-silicon display,” Opt. Lett. 33(6), 627–629 (2008). [CrossRef] [PubMed]
  19. I. Moreno, J. Campos, C. Gorecki, and M. J. Yzuel, “Effects of amplitude and phase mismatching errors in the generation of a kinoform for pattern recognition,” Jpn. J. Appl. Phys. 34, 6423–6432 (1995). [CrossRef]
  20. R. D. Juday, “Optical realizable filters and the minimum Euclidean distance principle,” Appl. Opt. 32(26), 5100–5111 (1993). [CrossRef] [PubMed]
  21. R. D. Juday, “Generality of matched filtering and minimum Euclidean distance projection for optical pattern recognition,” J. Opt. Soc. Am. A 18(8), 1882–1896 (2001). [CrossRef]
  22. I. Moreno, C. Iemmi, A. Márquez, J. Campos, and M. J. Yzuel, “Modulation light efficiency of diffractive lenses displayed in a restricted phase-mostly modulation display,” Appl. Opt. 43(34), 6278–6284 (2004). [CrossRef] [PubMed]
  23. A. Márquez, C. Iemmi, I. Moreno, J. Campos, and M. J. Yzuel, “Anamorphic and spatial frequency dependent phase modulation on liquid crystal displays. Optimization of the modulation diffraction efficiency,” Opt. Express 13(6), 2111–2119 (2005). [CrossRef] [PubMed]
  24. C. Soutar, S. E. Monroe, and J. Knopp, “Measurement of the complex transmittance of the Epson liquid crystal television,” Opt. Eng. 33(4), 1061–1069 (1994). [CrossRef]
  25. A. Bergeron, J. Gauvin, F. Gagnon, D. Gingras, H. H. Arsenault, and M. Doucet, “Phase calibration and applications of a liquid crystal spatial light modulator,” Appl. Opt. 34(23), 5133–5139 (1995). [CrossRef] [PubMed]
  26. Z. Zhang, G. Lu, and F. T. S. Yu, “Simple method for measuring phase modulation in liquid crystal television,” Opt. Eng. 33(9), 3018–3022 (1994). [CrossRef]
  27. D. Engström, G. Milewski, J. Bengtsson, and S. Galt, “Diffraction-based determination of the phase modulation for general spatial light modulators,” Appl. Opt. 45(28), 7195–7204 (2006). [CrossRef] [PubMed]
  28. S.-Y. Lu and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13(5), 1106–1113 (1996). [CrossRef]
  29. A. Márquez, C. Iemmi, J. Campos, J. C. Escalera, and M. J. Yzuel, “Programmable apodizer to compensate chromatic aberration effects using a liquid crystal spatial light modulator,” Opt. Express 13(3), 716–730 (2005). [CrossRef] [PubMed]
  30. A. Márquez, C. Iemmi, J. Campos, and M. J. Yzuel, “Achromatic diffractive lens written onto a liquid crystal display,” Opt. Lett. 31(3), 392–394 (2006). [CrossRef] [PubMed]
  31. M. S. Millán, J. Otón, and E. Pérez-Cabré, “Chromatic compensation of programmable Fresnel lenses,” Opt. Express 14(13), 6226–6242 (2006). [CrossRef] [PubMed]
  32. M. S. Millán, J. Otón, and E. Pérez-Cabré, “Dynamic compensation of chromatic aberration in a programmable diffractive lens,” Opt. Express 14(20), 9103–9112 (2006). [CrossRef] [PubMed]

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