Abstract

In this paper we experimentally analyze the performance of a twisted nematic liquid crystal on silicon (LCoS) display as a function of the angle of incidence of the incoming beam. These are reflective displays that can be configured to produce amplitude or phase modulation by properly aligning external polarization elements. But we demonstrate that the incident angle plays an important role in the selection of the polarization configuration. We performed a Mueller matrix polarimetric analysis of the display that demonstrates that the recently reported depolarization effect observed in this type of displays is also dependant on the incident angle.

© 2009 Optical Society of America

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  1. P. 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. R. Dou and M. K. Giles, “Closed-loop adaptative optics system with a liquid crystal television as a phase retarder,” Opt. Lett. 20, 1583–1585 (1995).
    [Crossref] [PubMed]
  5. J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).
  6. J. A. Davis, I. Moreno, and P. Tsai, “Polarization eigenstates for twisted-nematic liquid-crystal displays,” Appl. Opt. 37, 937–945 (1998).
    [Crossref]
  7. 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] [PubMed]
  8. J. E. Wolfe and R. A. Chipman, “Polarimetric characterization of liquid-crystal-on-silicon panels,” Appl. Opt. 45, 1688–1703 (2006).
    [Crossref] [PubMed]
  9. 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, 4267–4274 (2008).
    [Crossref] [PubMed]
  10. A. Lizana, I. Moreno, 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, 16711–16722 (2008).
    [Crossref] [PubMed]
  11. 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).
    [Crossref] [PubMed]
  12. 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).
  13. E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
    [Crossref]
  14. D. Goldstein, Polarized Light, (Marcel Dekker, NY, 2003).
    [Crossref]
  15. 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]
  16. S. Y. Lu and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13, 1106–1113 (1996).
    [Crossref]
  17. P. Lancaster and M Tismenetsky, The Theory of Matrices, 2nd Ed. (Academic, San Diego, 1985).
  18. A. Marquez, I. Moreno, J. Campos, and M. J. Yzuel, “Analisis of Fabry-Perot interference effects on the modulation properties of liquid crystal displays,” Opt. Commun. 265, 84–94 (2006).
    [Crossref]
  19. S. Y. Lu and R. A. Chipman, “Homogeneous and inhomogeneous Jones matrices,” J. Opt. Soc. Am. A 11, 766–773 (1994).
    [Crossref]
  20. S. Huard, Polarisation de la lumière, (Masson, Paris, 1993), pg. 109.
  21. S. Stallinga, “Equivalent retarder approach to reflective liquid crystal displays,” J. Appl. Phys. 86, 4756–4766 (1999).
    [Crossref]
  22. J. Nicolas, J. Campos, and M. J. Yzuel, “Phase and amplitude modulation of elliptic polarization states by nonabsorbing anisotropic elements: application to liquid-crystal devices,” J. Opt. Soc. Am. A 19, 1013–1020 (2002).
    [Crossref]
  23. C. Glasenapp, W. Mönch, H. Krause, and H. Zappe, “Biochip reader with dynamic holographic excitation and hyperspectral fluorescence detection,” J. Biomed. Opt. 2, 014038 (2007).
    [Crossref]

2008 (5)

2007 (2)

E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
[Crossref]

C. Glasenapp, W. Mönch, H. Krause, and H. Zappe, “Biochip reader with dynamic holographic excitation and hyperspectral fluorescence detection,” J. Biomed. Opt. 2, 014038 (2007).
[Crossref]

2006 (2)

A. Marquez, I. Moreno, J. Campos, and M. J. Yzuel, “Analisis of Fabry-Perot interference effects on the modulation properties of liquid crystal displays,” Opt. Commun. 265, 84–94 (2006).
[Crossref]

J. E. Wolfe and R. A. Chipman, “Polarimetric characterization of liquid-crystal-on-silicon panels,” Appl. Opt. 45, 1688–1703 (2006).
[Crossref] [PubMed]

2005 (1)

W. Osten, C. Kohler, and J. Liesener, “Evaluation and application of spatial light modulators for optical metrology,” Opt. Pura Apl. 38, 71–81 (2005).

2002 (1)

1999 (1)

S. Stallinga, “Equivalent retarder approach to reflective liquid crystal displays,” J. Appl. Phys. 86, 4756–4766 (1999).
[Crossref]

1998 (1)

1996 (1)

1995 (1)

1994 (1)

1993 (1)

Andilla, J.

E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
[Crossref]

Campos, J.

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).

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, 4267–4274 (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] [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).
[Crossref] [PubMed]

A. Lizana, I. Moreno, 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, 16711–16722 (2008).
[Crossref] [PubMed]

A. Marquez, I. Moreno, J. Campos, and M. J. Yzuel, “Analisis of Fabry-Perot interference effects on the modulation properties of liquid crystal displays,” Opt. Commun. 265, 84–94 (2006).
[Crossref]

J. Nicolas, J. Campos, and M. J. Yzuel, “Phase and amplitude modulation of elliptic polarization states by nonabsorbing anisotropic elements: application to liquid-crystal devices,” J. Opt. Soc. Am. A 19, 1013–1020 (2002).
[Crossref]

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

Carnicer, A.

E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
[Crossref]

Chipman, R. A.

Davis, J. A.

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

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

Dou, R.

Escalera, J. C.

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

Fernández, E.

Giles, M. K.

Glasenapp, C.

C. Glasenapp, W. Mönch, H. Krause, and H. Zappe, “Biochip reader with dynamic holographic excitation and hyperspectral fluorescence detection,” J. Biomed. Opt. 2, 014038 (2007).
[Crossref]

Goldstein, D.

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

Huard, S.

S. Huard, Polarisation de la lumière, (Masson, Paris, 1993), pg. 109.

Iemmi, C.

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] [PubMed]

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).

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, 4267–4274 (2008).
[Crossref] [PubMed]

A. Lizana, I. Moreno, 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, 16711–16722 (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).
[Crossref] [PubMed]

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

Juvells, I.

E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
[Crossref]

Kohler, C.

W. Osten, C. Kohler, and J. Liesener, “Evaluation and application of spatial light modulators for optical metrology,” Opt. Pura Apl. 38, 71–81 (2005).

Krause, H.

C. Glasenapp, W. Mönch, H. Krause, and H. Zappe, “Biochip reader with dynamic holographic excitation and hyperspectral fluorescence detection,” J. Biomed. Opt. 2, 014038 (2007).
[Crossref]

Lancaster, P.

P. Lancaster and M Tismenetsky, The Theory of Matrices, 2nd Ed. (Academic, San Diego, 1985).

Liesener, J.

W. Osten, C. Kohler, and J. Liesener, “Evaluation and application of spatial light modulators for optical metrology,” Opt. Pura Apl. 38, 71–81 (2005).

Lizana, A.

Lu, S. Y.

Lu, S.-Y.

Marquez, A.

A. Marquez, I. Moreno, J. Campos, and M. J. Yzuel, “Analisis of Fabry-Perot interference effects on the modulation properties of liquid crystal displays,” Opt. Commun. 265, 84–94 (2006).
[Crossref]

Márquez, A.

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).

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, 4267–4274 (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).
[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] [PubMed]

A. Lizana, I. Moreno, 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, 16711–16722 (2008).
[Crossref] [PubMed]

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

Martín-Badosa, E.

E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
[Crossref]

McClain, S. C.

Mönch, W.

C. Glasenapp, W. Mönch, H. Krause, and H. Zappe, “Biochip reader with dynamic holographic excitation and hyperspectral fluorescence detection,” J. Biomed. Opt. 2, 014038 (2007).
[Crossref]

Montes-Usategui, M.

E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
[Crossref]

Moreno, I.

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, 4267–4274 (2008).
[Crossref] [PubMed]

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).

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] [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).
[Crossref] [PubMed]

A. Lizana, I. Moreno, 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, 16711–16722 (2008).
[Crossref] [PubMed]

A. Marquez, I. Moreno, J. Campos, and M. J. Yzuel, “Analisis of Fabry-Perot interference effects on the modulation properties of liquid crystal displays,” Opt. Commun. 265, 84–94 (2006).
[Crossref]

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

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

Nicolas, J.

J. Nicolas, J. Campos, and M. J. Yzuel, “Phase and amplitude modulation of elliptic polarization states by nonabsorbing anisotropic elements: application to liquid-crystal devices,” J. Opt. Soc. Am. A 19, 1013–1020 (2002).
[Crossref]

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

Osten, W.

W. Osten, C. Kohler, and J. Liesener, “Evaluation and application of spatial light modulators for optical metrology,” Opt. Pura Apl. 38, 71–81 (2005).

Pezzaniti, J. L.

Pleguezuelos, E.

E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
[Crossref]

Stallinga, S.

S. Stallinga, “Equivalent retarder approach to reflective liquid crystal displays,” J. Appl. Phys. 86, 4756–4766 (1999).
[Crossref]

Tismenetsky, M

P. Lancaster and M Tismenetsky, The Theory of Matrices, 2nd Ed. (Academic, San Diego, 1985).

Tsai, P.

Wolfe, J. E.

Yzuel, J. M.

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

Yzuel, M. J.

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, 4267–4274 (2008).
[Crossref] [PubMed]

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).

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] [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).
[Crossref] [PubMed]

A. Lizana, I. Moreno, 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, 16711–16722 (2008).
[Crossref] [PubMed]

A. Marquez, I. Moreno, J. Campos, and M. J. Yzuel, “Analisis of Fabry-Perot interference effects on the modulation properties of liquid crystal displays,” Opt. Commun. 265, 84–94 (2006).
[Crossref]

J. Nicolas, J. Campos, and M. J. Yzuel, “Phase and amplitude modulation of elliptic polarization states by nonabsorbing anisotropic elements: application to liquid-crystal devices,” J. Opt. Soc. Am. A 19, 1013–1020 (2002).
[Crossref]

Zappe, H.

C. Glasenapp, W. Mönch, H. Krause, and H. Zappe, “Biochip reader with dynamic holographic excitation and hyperspectral fluorescence detection,” J. Biomed. Opt. 2, 014038 (2007).
[Crossref]

Appl Opt. (1)

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, 4267–4274 (2008).
[Crossref] [PubMed]

Appl. Opt. (2)

J. Appl. Phys. (1)

S. Stallinga, “Equivalent retarder approach to reflective liquid crystal displays,” J. Appl. Phys. 86, 4756–4766 (1999).
[Crossref]

J. Biomed. Opt. (1)

C. Glasenapp, W. Mönch, H. Krause, and H. Zappe, “Biochip reader with dynamic holographic excitation and hyperspectral fluorescence detection,” J. Biomed. Opt. 2, 014038 (2007).
[Crossref]

J. Eur. Opt. Soc. - Rapid Pub. (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 Pub. 3, 08011 1-6 (2008).

J. Opt. A - Pure Appl. Op. (1)

E. Martín-Badosa, M. Montes-Usategui, A. Carnicer, J. Andilla, E. Pleguezuelos, and I. Juvells, “Design strategies for optimizing holographic optical tweezers set-ups,” J. Opt. A - Pure Appl. Op. 9, S267–S277 (2007).
[Crossref]

J. Opt. Soc. Am. A (3)

Opt. Commun. (1)

A. Marquez, I. Moreno, J. Campos, and M. J. Yzuel, “Analisis of Fabry-Perot interference effects on the modulation properties of liquid crystal displays,” Opt. Commun. 265, 84–94 (2006).
[Crossref]

Opt. Express (2)

Opt. Lett. (3)

Opt. Pura Apl. (1)

W. Osten, C. Kohler, and J. Liesener, “Evaluation and application of spatial light modulators for optical metrology,” Opt. Pura Apl. 38, 71–81 (2005).

Other (6)

J. Campos, A. Márquez, J. Nicolas, I. Moreno, C. Iemmi, J. C. Escalera, J. A. Davis, and J. M. Yzuel, “Optimization of liquid crystals displays behaviour in optical image processing and in diffractive optics”, in Optoelectronic information processing: Optics for information systems, (SPIE Press, Critical Reviews) Vol. CR81, 335–364 (2001).

P. J. Turunen and F. Wyrowski eds., Diffractive Optics for Industrial and Commercial Applications, (Akademie Verlag, Berlin, 1997).

H. J. Coufal, D. Psaltis, and B. T. Sincerbox, eds., Holographic Data Storage, (Springer-Verlag, Berlin, 2000).

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

P. Lancaster and M Tismenetsky, The Theory of Matrices, 2nd Ed. (Academic, San Diego, 1985).

S. Huard, Polarisation de la lumière, (Masson, Paris, 1993), pg. 109.

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Figures (11)

Fig. 1.
Fig. 1.

Set up used to obtain the experimental LCoS Mueller matrix.

Fig. 2.
Fig. 2.

Degree of polarization as a function of the gray level and for an angle of incidence equal to: a) α=2°, b) α=12.5°, c) α=23°, d) α=34° and e) α=45°.

Fig. 3.
Fig. 3.

DOP as a function of different incident SoPs and with an incident angle equal to: a) 2°; b) 45°. The LCoS display is switched off.

Fig. 4.
Fig. 4.

First row and column Mueller coefficients as a function of the gray level for an incident angle of: a, b) α=2°; c, d) α=45°.

Fig. 5.
Fig. 5.

Mueller matrix third row coefficients as a function of the gray level and an incident angle equal to: a) α=2°; b) α=12.5°; c) α=23°; d) α=34° and e) a=45°.

Fig. 6.
Fig. 6.

Retardance as a function of the gray level and different incident angles.

Fig. 7.
Fig. 7.

Equivalent retarder eigenvectors as a function of the gray level for the incident angle α=2°.

Fig. 8.
Fig. 8.

Equivalent retarder eigenvectors as a function of the gray level for the incident angles α=12.5°, α=23°, α=34° and α=45°.

Fig. 9.
Fig. 9.

Theoretical (lines) and experimental (spots) intensity and phase values, when using an incident angle equal to: a) 2°; b) 12.5°; c) 45°. The rotation angle values of polarizers and waveplates used at the PSG and PSD systems are: P1=88° and WP1=7°; P2=90° and WP2=-15°.

Fig. 10.
Fig. 10.

Phase modulation optimization when using an incident angle equal to: a) α=12.5°; b) α=45°.

Fig. 11.
Fig. 11.

(a). Experimental set-up. (b). Optimized phase modulation response obtained when using the beam splitter set-up. On one hand, the intensity values are represented in continuous line (simulation) and black circles (experimental values). On the other hand, the phase values are represented with a dotted line (simulation) and squares (experimental values). The rotation angle values of polarizers and waveplates used at the PSG and PSD systems are: P1=105° and WP1=94°; P2=105° and WP2=82°.

Equations (8)

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I(π2,θ2)=12[S0+S12+S12cos(4θ2)+S22sin(4θ2)S3sin(2θ2)],
2Nr=1Nsin(2πriN)·sin(2πrjN)=2Nr=1Ncos(2πriN)·cos(2πrjN)=δij,
r=1Nsin(2πriN)·cos(2πrjN)=0,
r=1Nsin(2πriN)=r=1Ncos(2πriN)=0.
(S0S1S2S3)=1N((2·r=1NI(π2,θ2,r)4r=1NI(π2,θ2,r)·cos(4θ2,r))8r=1NI(π2,θ2,r)·cos(4θ2,r)8r=1NI(π2,θ2,r)·sin(4θ2,r)4r=1NI(π2,θ2,r)·sin(2θ2,r))
Sinput=(1cos2(2θ1)12sin(4θ1)sin(2θ1)).
Skr(θ1)output=mk0+mk12+mk12cos(4θ1)+mk22sin(4θ1)+mk3sin(2θ1),
M=1N(r=1NS0r2r=1NSr0cos(4θ1,r)4r=1NSr0cos(4θ1,r)4r=1NSr0sin(4θ1,r)2r=1NSr0sin(2θ1,r)r=1NS1r2r=1NSr1cos(4θ1,r)4r=1NSr1cos(4θ1,r)4r=1NSr1sin(4θ1,r)2r=1NSr1sin(2θ1,r)r=1NS2r2r=1NSr2cos(4θ1,r)4r=1NSr2cos(4θ1,r)4r=1NSr2sin(4θ1,r)2r=1NSr2sin(2θ1,r)r=1NS3r2r=1NSr3cos(4θ1,r)4r=1NSr3cos(4θ1,r)4r=1NSr3sin(4θ1,r)2r=1NSr3sin(2θ1,r)),

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