Abstract

We present a full polarimetric characterization of a liquid crystal on silicon (LCoS) display, with time resolution measurements below the frame period of the device. This time-resolved analysis shows evidence of temporal fluctuations in the millisecond range in the state of polarization of the beam reflected by the display. We demonstrate that light reflected by the display is maintained fully polarized, but these temporal fluctuations result in an effective depolarization effect when detectors with long time integration intervals are used in the characterization of the display.

© 2008 Optical Society of America

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References

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  1. S. T. Wu and D. K. Yang, Reflective Liquid Crystal Displays (Wiley, 2005).
  2. Y. Lee, J. Gourlay, W. J. Hossack, I. Underwood, and A. J. Walton, “Multi-phase modulation for nematic liquid crystal on silicon backplane spatial light modulators using pulse-width modulation driving scheme,” Opt. Commun. 236, 313-322 (2004).
    [CrossRef]
  3. D. Goldstein, Polarized Light (Marcel Dekker, 2003).
    [CrossRef]
  4. K. Lu and B. E. A. Saleh, “Theory and design of the liquid crystal TV as an optical spatial phase modulator,” Opt. Eng. 29, 240-246 (1990).
    [CrossRef]
  5. A. Márquez, 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. Eng. 39, 3301-3307 (2000).
    [CrossRef]
  6. 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, 2558-2564 (2001).
    [CrossRef]
  7. Q. Wang and S. He, “A new effective model for the director distribution of a twisted nematic liquid crystal cell,” J. Opt. A 7, 438-444 (2005).
    [CrossRef]
  8. I. Moreno, P. Velásquez, C. R. Fernández-Pousa, M. M. Sánchez-López, and F. Mateos, “Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display,” J. Appl. Phys. 94, 3697-3702 (2003).
    [CrossRef]
  9. J. L. Pezzanitti 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]
  10. J. L. Pezzaniti, S. C. McClain, R. A. Chipman, and S.-Y. Lu, “Depolarization in liquid-crystal televisions,” Opt. Lett. 18, 2071-2073 (1993).
    [CrossRef] [PubMed]
  11. J. E. Wolfe and R. A. Chipman, “Polarimetric characterization of liquid-crystal-on-silicon panels,” Appl. Opt. 45, 1688-1703(2006).
    [CrossRef] [PubMed]
  12. 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, 1669-1685 (2008).
    [CrossRef]
  13. 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 Publ. 3, 08011 (2008).
    [CrossRef] [PubMed]
  14. P. Clemente, V. Durán, Ll. 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, 1965-1974 (2008).
    [CrossRef] [PubMed]
  15. 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, 627-629 (2008).
  16. J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.
  17. “Electronic Projection. Measurement and documentation of key performance criteria. Part 1: Fixed resolution projectors,” IEC 61947-1 (International Electrotechnical Commission, 9 August 2002).
    [CrossRef]
  18. S.-Y. Lu and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13, 1106-1113 (1996).
  19. S. Huard, Polarization of Light (Wiley, 1997).
  20. E. Collet, “Optical depolarizers and scramblers,” in Polarized Light in Fiber Optics (PolaWave Group, 2003), Chap. 12.
    [CrossRef]

2008 (4)

2006 (1)

2005 (1)

Q. Wang and S. He, “A new effective model for the director distribution of a twisted nematic liquid crystal cell,” J. Opt. A 7, 438-444 (2005).
[CrossRef]

2004 (1)

Y. Lee, J. Gourlay, W. J. Hossack, I. Underwood, and A. J. Walton, “Multi-phase modulation for nematic liquid crystal on silicon backplane spatial light modulators using pulse-width modulation driving scheme,” Opt. Commun. 236, 313-322 (2004).
[CrossRef]

2003 (1)

I. Moreno, P. Velásquez, C. R. Fernández-Pousa, M. M. Sánchez-López, and F. Mateos, “Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display,” J. Appl. Phys. 94, 3697-3702 (2003).
[CrossRef]

2001 (1)

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, 2558-2564 (2001).
[CrossRef]

2000 (1)

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

1996 (1)

1993 (2)

1990 (1)

K. Lu and B. E. A. Saleh, “Theory and design of the liquid crystal TV as an optical spatial phase modulator,” Opt. Eng. 29, 240-246 (1990).
[CrossRef]

Campos, J.

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, 1669-1685 (2008).
[CrossRef]

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 Publ. 3, 08011 (2008).
[CrossRef] [PubMed]

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, 627-629 (2008).

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, 2558-2564 (2001).
[CrossRef]

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.

Chipman, R. A.

Clemente, P.

Climent, V.

Collet, E.

E. Collet, “Optical depolarizers and scramblers,” in Polarized Light in Fiber Optics (PolaWave Group, 2003), Chap. 12.
[CrossRef]

Davis, J. A.

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, 2558-2564 (2001).
[CrossRef]

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.

Durán, V.

Fernández-Pousa, C. R.

I. Moreno, P. Velásquez, C. R. Fernández-Pousa, M. M. Sánchez-López, and F. Mateos, “Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display,” J. Appl. Phys. 94, 3697-3702 (2003).
[CrossRef]

Goldstein, D.

D. Goldstein, Polarized Light (Marcel Dekker, 2003).
[CrossRef]

Gourlay, J.

Y. Lee, J. Gourlay, W. J. Hossack, I. Underwood, and A. J. Walton, “Multi-phase modulation for nematic liquid crystal on silicon backplane spatial light modulators using pulse-width modulation driving scheme,” Opt. Commun. 236, 313-322 (2004).
[CrossRef]

He, S.

Q. Wang and S. He, “A new effective model for the director distribution of a twisted nematic liquid crystal cell,” J. Opt. A 7, 438-444 (2005).
[CrossRef]

Hossack, W. J.

Y. Lee, J. Gourlay, W. J. Hossack, I. Underwood, and A. J. Walton, “Multi-phase modulation for nematic liquid crystal on silicon backplane spatial light modulators using pulse-width modulation driving scheme,” Opt. Commun. 236, 313-322 (2004).
[CrossRef]

Huard, S.

S. Huard, Polarization of Light (Wiley, 1997).

Iemmi, C.

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 Publ. 3, 08011 (2008).
[CrossRef] [PubMed]

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, 1669-1685 (2008).
[CrossRef]

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, 627-629 (2008).

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, 2558-2564 (2001).
[CrossRef]

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.

Lancis, J.

Lee, Y.

Y. Lee, J. Gourlay, W. J. Hossack, I. Underwood, and A. J. Walton, “Multi-phase modulation for nematic liquid crystal on silicon backplane spatial light modulators using pulse-width modulation driving scheme,” Opt. Commun. 236, 313-322 (2004).
[CrossRef]

Lizana, A.

Lu, K.

K. Lu and B. E. A. Saleh, “Theory and design of the liquid crystal TV as an optical spatial phase modulator,” Opt. Eng. 29, 240-246 (1990).
[CrossRef]

Lu, S.-Y.

Mariscal, V.

J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.

Márquez, A.

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, 627-629 (2008).

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, 1669-1685 (2008).
[CrossRef]

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 Publ. 3, 08011 (2008).
[CrossRef] [PubMed]

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, 2558-2564 (2001).
[CrossRef]

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.

Martínez-León, Ll.

Mateos, F.

I. Moreno, P. Velásquez, C. R. Fernández-Pousa, M. M. Sánchez-López, and F. Mateos, “Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display,” J. Appl. Phys. 94, 3697-3702 (2003).
[CrossRef]

McClain, S. C.

Moreno, A.

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

Moreno, I.

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 Publ. 3, 08011 (2008).
[CrossRef] [PubMed]

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, 1669-1685 (2008).
[CrossRef]

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, 627-629 (2008).

I. Moreno, P. Velásquez, C. R. Fernández-Pousa, M. M. Sánchez-López, and F. Mateos, “Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display,” J. Appl. Phys. 94, 3697-3702 (2003).
[CrossRef]

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, 2558-2564 (2001).
[CrossRef]

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.

Pezzaniti, J. L.

Pezzanitti, J. L.

Robert, A.

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

Saleh, B. E. A.

K. Lu and B. E. A. Saleh, “Theory and design of the liquid crystal TV as an optical spatial phase modulator,” Opt. Eng. 29, 240-246 (1990).
[CrossRef]

Sánchez-López, M. M.

I. Moreno, P. Velásquez, C. R. Fernández-Pousa, M. M. Sánchez-López, and F. Mateos, “Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display,” J. Appl. Phys. 94, 3697-3702 (2003).
[CrossRef]

Tajahuerce, E.

Underwood, I.

Y. Lee, J. Gourlay, W. J. Hossack, I. Underwood, and A. J. Walton, “Multi-phase modulation for nematic liquid crystal on silicon backplane spatial light modulators using pulse-width modulation driving scheme,” Opt. Commun. 236, 313-322 (2004).
[CrossRef]

Velásquez, P.

I. Moreno, P. Velásquez, C. R. Fernández-Pousa, M. M. Sánchez-López, and F. Mateos, “Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display,” J. Appl. Phys. 94, 3697-3702 (2003).
[CrossRef]

Walton, A. J.

Y. Lee, J. Gourlay, W. J. Hossack, I. Underwood, and A. J. Walton, “Multi-phase modulation for nematic liquid crystal on silicon backplane spatial light modulators using pulse-width modulation driving scheme,” Opt. Commun. 236, 313-322 (2004).
[CrossRef]

Wang, Q.

Q. Wang and S. He, “A new effective model for the director distribution of a twisted nematic liquid crystal cell,” J. Opt. A 7, 438-444 (2005).
[CrossRef]

Wolfe, J. E.

Wu, S. T.

S. T. Wu and D. K. Yang, Reflective Liquid Crystal Displays (Wiley, 2005).

Yang, D. K.

S. T. Wu and D. K. Yang, Reflective Liquid Crystal Displays (Wiley, 2005).

Yzuel, M. J.

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, 1669-1685 (2008).
[CrossRef]

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 Publ. 3, 08011 (2008).
[CrossRef] [PubMed]

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, 627-629 (2008).

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, 2558-2564 (2001).
[CrossRef]

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.

Appl. Opt. (1)

J. Appl. Phys. (1)

I. Moreno, P. Velásquez, C. R. Fernández-Pousa, M. M. Sánchez-López, and F. Mateos, “Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display,” J. Appl. Phys. 94, 3697-3702 (2003).
[CrossRef]

J. Eur. Opt. Soc. Rapid Publ. (1)

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 Publ. 3, 08011 (2008).
[CrossRef] [PubMed]

J. Opt. A (1)

Q. Wang and S. He, “A new effective model for the director distribution of a twisted nematic liquid crystal cell,” J. Opt. A 7, 438-444 (2005).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Commun. (1)

Y. Lee, J. Gourlay, W. J. Hossack, I. Underwood, and A. J. Walton, “Multi-phase modulation for nematic liquid crystal on silicon backplane spatial light modulators using pulse-width modulation driving scheme,” Opt. Commun. 236, 313-322 (2004).
[CrossRef]

Opt. Eng. (3)

K. Lu and B. E. A. Saleh, “Theory and design of the liquid crystal TV as an optical spatial phase modulator,” Opt. Eng. 29, 240-246 (1990).
[CrossRef]

A. Márquez, 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. Eng. 39, 3301-3307 (2000).
[CrossRef]

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, 2558-2564 (2001).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

Other (6)

S. T. Wu and D. K. Yang, Reflective Liquid Crystal Displays (Wiley, 2005).

D. Goldstein, Polarized Light (Marcel Dekker, 2003).
[CrossRef]

J. Campos, I. Moreno, A. Márquez, C. Iemmi, V. Mariscal, J. A. Davis, and M. J. Yzuel, “Simple Jones method for describing modulation properties of reflective liquid crystal spatial light modulators,” in CP860 Information Optics: 5th International Workshop, G. Cristóbal, B. Javidi, and S. Vallmitjana, eds. (AIP, 2006), pp. 159-168.

“Electronic Projection. Measurement and documentation of key performance criteria. Part 1: Fixed resolution projectors,” IEC 61947-1 (International Electrotechnical Commission, 9 August 2002).
[CrossRef]

S. Huard, Polarization of Light (Wiley, 1997).

E. Collet, “Optical depolarizers and scramblers,” in Polarized Light in Fiber Optics (PolaWave Group, 2003), Chap. 12.
[CrossRef]

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Figures (8)

Fig. 1
Fig. 1

Experimental setup used to measure ISPs. LP 1 , LP 2 , and LP 3 are polarizers, WP 0 is a half-wave plate, and WP 1 and WP 2 are quarter-wave plates. Detector Ch1 is used for measuring optical intensities required for determining the Stokes parameters; detector Ch2 is used for synchronization of successive measurements.

Fig. 2
Fig. 2

Characterization of the time evolution of the Stokes parameter for an incident linear SOP oriented at 45 ° . (a)–(c) Normalized intensities for PSD configured to detect ( X , Y ) , ( 45 , 45 ) , and ( R , L ) components, respectively. (d) Time evolution of the Stokes parameters and of the DoP.

Fig. 3
Fig. 3

Time evolution of the coefficients of the Mueller matrix plotted by rows.

Fig. 4
Fig. 4

(a), (b) Time evolution of DoP for all six input SOP; (c) diattenuation parameters.

Fig. 5
Fig. 5

Time evolution of the Stokes parameters and the DoP for input linearly polarized light oriented at 30 deg. (a) Predictions from IMM. (b) Measured data.

Fig. 6
Fig. 6

Plot of the coefficients of the AMM and the MIMM.

Fig. 7
Fig. 7

ASPs obtained by time integration, Stokes parameters calculated from the AMM (SP from AMM), Stokes parameters obtained by calculating the mean of the ISPs (MISP), and Stokes parameters calculated from the mean of the instantaneous Mueller matrices (SP from MIMM). The results correspond to a linearly polarized input SOP at 30 ° with respect to the vertical axis of the laboratory.

Fig. 8
Fig. 8

Degree of polarization calculated from ASP DoP (from ASP) and calculated as a mean of the values obtained from each set of ISP MDoP (from ISP). The DoP are calculated for different SOPs.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

( S 0 ( t ) S 1 ( t ) S 2 ( t ) S 3 ( t ) ) = ( I x ( t ) + I y ( t ) I x ( t ) I y ( t ) I 45 ( t ) I 45 ( t ) I R ( t ) I L ( t ) ) ,
DoP ( t ) = S 1 2 ( t ) + S 2 2 ( t ) + S 3 2 ( t ) S 0 ( t ) .
( S 0 S 1 S 2 S 3 ) = ( I ¯ x + I ¯ y I ¯ x I ¯ y I ¯ 45 I ¯ 45 I ¯ R I ¯ L ) = ( S 0 ( t ) S 1 ( t ) S 2 ( t ) S 3 ( t ) ) ,
DoP = S 1 2 + S 2 2 + S 3 2 S 0 DoP ( t ) .
D ( t ) = D X 2 ( t ) + D 45 2 ( t ) + D C 2 ( t ) ,
D X ( t ) = S 0 X ( t ) S 0 Y ( t ) S 0 X ( t ) + S 0 Y ( t ) , D 45 = S 0 45 ( t ) S 0 45 ( t ) S 0 45 ( t ) + S 0 45 ( t ) , D C = S 0 R ( t ) S 0 L ( t ) S 0 R ( t ) + S 0 L ( t ) ,

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