Abstract

The fringing field effect of liquid-crystal displays causes a crosstalk between neighboring pixels, so that a desired sharp phase edge gets blurred. This blurring effect influences the diffraction efficiency of holograms, which are displayed on the spatial light modulator (SLM). In this paper, we show two different simulation models for the SLM, one based on the measured subpixel Jones matrices of the SLM and the other based on a direction-dependent convolution model. Using these models we optimize different blazed gratings written in the SLM according to their diffraction efficiency followed by an experimental verification.

© 2013 Optical Society of America

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    [CrossRef]
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2012 (2)

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

M. Persson, D. Engström, and M. Goksör, “Reducing the effect of pixel crosstalk in phase only spatial light modulators,” Opt. Express 20, 22334–22343 (2012).
[CrossRef]

2010 (2)

S. Zwick, T. Haist, M. Warber, and W. Osten, “Dynamic holography using pixelated light modulators,” Appl. Opt. 49, F47–F58 (2010).
[CrossRef]

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

2009 (5)

M. Warber, S. Zwick, M. Hasler, T. Haist, and W. Osten, “SLM-based phase-contrast filtering for single and multiple image acquisition,” Proc. SPIE 7442, 74420E (2009).
[CrossRef]

F. Schaal, M. Warber, C. Rembe, T. Haist, and W. Osten, “Dynamic multipoint vibrometry using spatial light modulators,” Proc. Fringe 2009, 529–531 (2009).

C. Kohler, T. Haist, and W. Osten, “Model-free method for measuring the full Jones matrix of reflective liquid-crystal displays,” Opt. Eng. 48, 044002 (2009).
[CrossRef]

A. Lizana, N. Martín, M. Estapé, E. Fernández, I. Moreno, A. Márquez, C. Iemmi, J. Campos, and M. J. Yzuel, “Influence of the incident angle in the performance of liquid crystal on silicon displays,” Opt. Express 17, 8491–8505 (2009).
[CrossRef]

C. Kohler, F. Zhang, and W. Osten, “Characterization of a spatial light modulator and its application in phase retrieval,” Appl. Opt. 48, 4003–4008 (2009).
[CrossRef]

2006 (3)

2005 (3)

2004 (4)

B. Apter, U. Efron, and E. Bahat-Treidel, “On the fringing-field effect in liquid-crystal beam-steering devices,” Appl. Opt. 43, 11–19 (2004).
[CrossRef]

U. Efron, B. Apter, and E. Bahat-Treidel, “Fringing-field effect in liquid-crystal beam-steering devices: an approximate analytical model,” J. Opt. Soc. Am. A 21, 1996 (2004).
[CrossRef]

J. Liesener, M. Reicherter, and H. Tiziani, “Determination and compensation of aberrations using SLMs,” Opt. Commun. 233, 161–166 (2004).
[CrossRef]

M. Reicherter, W. Gorski, T. Haist, and W. Osten, “Dynamic correction of aberrations in microscopic imaging systems using an artificial point source,” Proc. SPIE 5462, 68–78 (2004).
[CrossRef]

2003 (1)

D. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[CrossRef]

2002 (1)

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing field effect of the liquid-crystal-on-silicon devices,” Jpn J. Appl. Phys. 41, 4577–4585 (2002).
[CrossRef]

2000 (1)

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

1999 (1)

W. Osten and W. P. O. Jueptner, “New light sources and sensors for active optical 3D inspection,” Proc. SPIE 3897, 314–327 (1999).
[CrossRef]

1997 (1)

1996 (2)

1989 (2)

1987 (1)

1979 (1)

H. Dammann, “Spectral characteristic of stepped-phase gratings,” Optik 53, 409–417 (1979).

1941 (1)

Aagedal, H.

Apter, B.

Bahat-Treidel, E.

Barnes, T. H.

Baumbach, T.

Bengtsson, J.

M. Persson, D. Engström, J. Bengtsson, and M. Goksör, “Realistic treatment of spatial light modulator pixelation in real-time design algorithms for holographic spot generation,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), paper DWC32.

Bernet, A.

Beth, T.

Beyerlein, M.

Boedecker, S.

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

Campos, J.

Chen, S.-H.

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing-field effects on high-resolution liquid crystal microdisplays,” J. Disp. Technol. 1, 304–313 (2005).
[CrossRef]

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing field effect of the liquid-crystal-on-silicon devices,” Jpn J. Appl. Phys. 41, 4577–4585 (2002).
[CrossRef]

Corkum, D. L.

Dammann, H.

H. Dammann, “Spectral characteristic of stepped-phase gratings,” Optik 53, 409–417 (1979).

Dorschner, T. A.

Dresel, T.

Efron, U.

Egner, S.

Eiju, T.

Engström, D.

M. Persson, D. Engström, and M. Goksör, “Reducing the effect of pixel crosstalk in phase only spatial light modulators,” Opt. Express 20, 22334–22343 (2012).
[CrossRef]

M. Persson, D. Engström, J. Bengtsson, and M. Goksör, “Realistic treatment of spatial light modulator pixelation in real-time design algorithms for holographic spot generation,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), paper DWC32.

Estapé, M.

Fan Chiang, K.-H.

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing-field effects on high-resolution liquid crystal microdisplays,” J. Disp. Technol. 1, 304–313 (2005).
[CrossRef]

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing field effect of the liquid-crystal-on-silicon devices,” Jpn J. Appl. Phys. 41, 4577–4585 (2002).
[CrossRef]

Fernández, E.

Friedman, L. J.

Fürhapter, S.

Giesen, M.

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

T. Haist, C. Lingel, W. Osten, C. Rembe, M. Winter, and M. Giesen, “SLM-based multipoint vibrometry,” in Optical Sensors (Optical Society of America, 2012), paper SM2F.1.

Goksör, M.

M. Persson, D. Engström, and M. Goksör, “Reducing the effect of pixel crosstalk in phase only spatial light modulators,” Opt. Express 20, 22334–22343 (2012).
[CrossRef]

M. Persson, D. Engström, J. Bengtsson, and M. Goksör, “Realistic treatment of spatial light modulator pixelation in real-time design algorithms for holographic spot generation,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), paper DWC32.

Gorski, W.

M. Reicherter, W. Gorski, T. Haist, and W. Osten, “Dynamic correction of aberrations in microscopic imaging systems using an artificial point source,” Proc. SPIE 5462, 68–78 (2004).
[CrossRef]

Grier, D.

D. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[CrossRef]

Haist, T.

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

S. Zwick, T. Haist, M. Warber, and W. Osten, “Dynamic holography using pixelated light modulators,” Appl. Opt. 49, F47–F58 (2010).
[CrossRef]

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

C. Kohler, T. Haist, and W. Osten, “Model-free method for measuring the full Jones matrix of reflective liquid-crystal displays,” Opt. Eng. 48, 044002 (2009).
[CrossRef]

F. Schaal, M. Warber, C. Rembe, T. Haist, and W. Osten, “Dynamic multipoint vibrometry using spatial light modulators,” Proc. Fringe 2009, 529–531 (2009).

M. Warber, S. Zwick, M. Hasler, T. Haist, and W. Osten, “SLM-based phase-contrast filtering for single and multiple image acquisition,” Proc. SPIE 7442, 74420E (2009).
[CrossRef]

T. Haist, S. Zwick, M. Warber, and W. Osten, “Spatial light modulators—versatile tools for holography,” J. Holography Speckle 3, 125–136 (2006).
[CrossRef]

M. Reicherter, W. Gorski, T. Haist, and W. Osten, “Dynamic correction of aberrations in microscopic imaging systems using an artificial point source,” Proc. SPIE 5462, 68–78 (2004).
[CrossRef]

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

T. Haist, C. Lingel, W. Osten, C. Rembe, M. Winter, and M. Giesen, “SLM-based multipoint vibrometry,” in Optical Sensors (Optical Society of America, 2012), paper SM2F.1.

Hasler, M.

M. Warber, S. Zwick, M. Hasler, T. Haist, and W. Osten, “SLM-based phase-contrast filtering for single and multiple image acquisition,” Proc. SPIE 7442, 74420E (2009).
[CrossRef]

Hobbs, D. S.

Iemmi, C.

Jesacher, A.

Jones, R. C.

Jueptner, W. P. O.

W. Osten and W. P. O. Jueptner, “New light sources and sensors for active optical 3D inspection,” Proc. SPIE 3897, 314–327 (1999).
[CrossRef]

Jüptner, W.

Kohler, C.

Leonhardt, K.

K. Leonhardt, “Kontrast, Helligkeit und Streifenversetzung in Interferometern mit unterschiedlich polarisierten Teilstrahlen,” Ph.D. thesis (University Stuttgart, 1972).

Leseberg, D.

Lieberman, S.

Liesener, J.

J. Liesener, M. Reicherter, and H. Tiziani, “Determination and compensation of aberrations using SLMs,” Opt. Commun. 233, 161–166 (2004).
[CrossRef]

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

Lingel, C.

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

T. Haist, C. Lingel, W. Osten, C. Rembe, M. Winter, and M. Giesen, “SLM-based multipoint vibrometry,” in Optical Sensors (Optical Society of America, 2012), paper SM2F.1.

Lizana, A.

Márquez, A.

Martín, N.

Matusda, K.

Moreno, I.

Müller-Quade, J.

Nguyen, H. Q.

Osten, W.

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

S. Zwick, T. Haist, M. Warber, and W. Osten, “Dynamic holography using pixelated light modulators,” Appl. Opt. 49, F47–F58 (2010).
[CrossRef]

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

C. Kohler, T. Haist, and W. Osten, “Model-free method for measuring the full Jones matrix of reflective liquid-crystal displays,” Opt. Eng. 48, 044002 (2009).
[CrossRef]

F. Schaal, M. Warber, C. Rembe, T. Haist, and W. Osten, “Dynamic multipoint vibrometry using spatial light modulators,” Proc. Fringe 2009, 529–531 (2009).

M. Warber, S. Zwick, M. Hasler, T. Haist, and W. Osten, “SLM-based phase-contrast filtering for single and multiple image acquisition,” Proc. SPIE 7442, 74420E (2009).
[CrossRef]

C. Kohler, F. Zhang, and W. Osten, “Characterization of a spatial light modulator and its application in phase retrieval,” Appl. Opt. 48, 4003–4008 (2009).
[CrossRef]

T. Baumbach, W. Osten, C. von Kopylow, and W. Jüptner, “Remote metrology by comparative digital holography,” Appl. Opt. 45, 925–934 (2006).
[CrossRef]

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

T. Haist, S. Zwick, M. Warber, and W. Osten, “Spatial light modulators—versatile tools for holography,” J. Holography Speckle 3, 125–136 (2006).
[CrossRef]

M. Reicherter, W. Gorski, T. Haist, and W. Osten, “Dynamic correction of aberrations in microscopic imaging systems using an artificial point source,” Proc. SPIE 5462, 68–78 (2004).
[CrossRef]

W. Osten and W. P. O. Jueptner, “New light sources and sensors for active optical 3D inspection,” Proc. SPIE 3897, 314–327 (1999).
[CrossRef]

T. Haist, C. Lingel, W. Osten, C. Rembe, M. Winter, and M. Giesen, “SLM-based multipoint vibrometry,” in Optical Sensors (Optical Society of America, 2012), paper SM2F.1.

Persson, M.

M. Persson, D. Engström, and M. Goksör, “Reducing the effect of pixel crosstalk in phase only spatial light modulators,” Opt. Express 20, 22334–22343 (2012).
[CrossRef]

M. Persson, D. Engström, J. Bengtsson, and M. Goksör, “Realistic treatment of spatial light modulator pixelation in real-time design algorithms for holographic spot generation,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), paper DWC32.

Reicherter, M.

J. Liesener, M. Reicherter, and H. Tiziani, “Determination and compensation of aberrations using SLMs,” Opt. Commun. 233, 161–166 (2004).
[CrossRef]

M. Reicherter, W. Gorski, T. Haist, and W. Osten, “Dynamic correction of aberrations in microscopic imaging systems using an artificial point source,” Proc. SPIE 5462, 68–78 (2004).
[CrossRef]

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

Rembe, C.

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

F. Schaal, M. Warber, C. Rembe, T. Haist, and W. Osten, “Dynamic multipoint vibrometry using spatial light modulators,” Proc. Fringe 2009, 529–531 (2009).

T. Haist, C. Lingel, W. Osten, C. Rembe, M. Winter, and M. Giesen, “SLM-based multipoint vibrometry,” in Optical Sensors (Optical Society of America, 2012), paper SM2F.1.

Resler, D. P.

Ritsch-Marte, M.

Ritter, F.

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

Roberts, N. C.

Schaal, F.

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

F. Schaal, M. Warber, C. Rembe, T. Haist, and W. Osten, “Dynamic multipoint vibrometry using spatial light modulators,” Proc. Fringe 2009, 529–531 (2009).

Schmid, M.

Schwab, X.

Schwider, J.

Sharp, R. C.

Tiziani, H.

J. Liesener, M. Reicherter, and H. Tiziani, “Determination and compensation of aberrations using SLMs,” Opt. Commun. 233, 161–166 (2004).
[CrossRef]

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

Tomasini, E. P.

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

von Kopylow, C.

Warber, M.

S. Zwick, T. Haist, M. Warber, and W. Osten, “Dynamic holography using pixelated light modulators,” Appl. Opt. 49, F47–F58 (2010).
[CrossRef]

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

F. Schaal, M. Warber, C. Rembe, T. Haist, and W. Osten, “Dynamic multipoint vibrometry using spatial light modulators,” Proc. Fringe 2009, 529–531 (2009).

M. Warber, S. Zwick, M. Hasler, T. Haist, and W. Osten, “SLM-based phase-contrast filtering for single and multiple image acquisition,” Proc. SPIE 7442, 74420E (2009).
[CrossRef]

T. Haist, S. Zwick, M. Warber, and W. Osten, “Spatial light modulators—versatile tools for holography,” J. Holography Speckle 3, 125–136 (2006).
[CrossRef]

Winter, M.

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

T. Haist, C. Lingel, W. Osten, C. Rembe, M. Winter, and M. Giesen, “SLM-based multipoint vibrometry,” in Optical Sensors (Optical Society of America, 2012), paper SM2F.1.

Wu, S.-T.

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing-field effects on high-resolution liquid crystal microdisplays,” J. Disp. Technol. 1, 304–313 (2005).
[CrossRef]

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing field effect of the liquid-crystal-on-silicon devices,” Jpn J. Appl. Phys. 41, 4577–4585 (2002).
[CrossRef]

Wyrowski, F.

Yzuel, M. J.

Zhang, F.

Zwick, S.

S. Zwick, T. Haist, M. Warber, and W. Osten, “Dynamic holography using pixelated light modulators,” Appl. Opt. 49, F47–F58 (2010).
[CrossRef]

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

M. Warber, S. Zwick, M. Hasler, T. Haist, and W. Osten, “SLM-based phase-contrast filtering for single and multiple image acquisition,” Proc. SPIE 7442, 74420E (2009).
[CrossRef]

T. Haist, S. Zwick, M. Warber, and W. Osten, “Spatial light modulators—versatile tools for holography,” J. Holography Speckle 3, 125–136 (2006).
[CrossRef]

AIP Conf. Proc. (2)

T. Haist, C. Lingel, W. Osten, M. Winter, M. Giesen, F. Ritter, and C. Rembe, “Advanced multipoint vibrometry using spatial light modulators,” AIP Conf. Proc. 1457, 234–241 (2012).
[CrossRef]

S. Zwick, M. Warber, T. Haist, F. Schaal, W. Osten, S. Boedecker, C. Rembe, and E. P. Tomasini, “Advanced scanning laser-Doppler vibrometer with computer generated holograms,” AIP Conf. Proc. 1253, 279–290 (2010).
[CrossRef]

Appl. Opt. (11)

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E. Bahat-Treidel, B. Apter, and U. Efron, “Experimental study of phase-step broadening by fringing fields in a three-electrode liquid-crystal cell,” Appl. Opt. 44, 2989–2995 (2005).
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T. Baumbach, W. Osten, C. von Kopylow, and W. Jüptner, “Remote metrology by comparative digital holography,” Appl. Opt. 45, 925–934 (2006).
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C. Kohler, X. Schwab, and W. Osten, “Optimally tuned spatial light modulators for digital holography,” Appl. Opt. 45, 960–967 (2006).
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N. C. Roberts, “Beam shaping by holographic filters,” Appl. Opt. 28, 31–32 (1989).
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C. Kohler, F. Zhang, and W. Osten, “Characterization of a spatial light modulator and its application in phase retrieval,” Appl. Opt. 48, 4003–4008 (2009).
[CrossRef]

S. Zwick, T. Haist, M. Warber, and W. Osten, “Dynamic holography using pixelated light modulators,” Appl. Opt. 49, F47–F58 (2010).
[CrossRef]

J. Disp. Technol. (1)

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing-field effects on high-resolution liquid crystal microdisplays,” J. Disp. Technol. 1, 304–313 (2005).
[CrossRef]

J. Holography Speckle (1)

T. Haist, S. Zwick, M. Warber, and W. Osten, “Spatial light modulators—versatile tools for holography,” J. Holography Speckle 3, 125–136 (2006).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (2)

Jpn J. Appl. Phys. (1)

K.-H. Fan Chiang, S.-T. Wu, and S.-H. Chen, “Fringing field effect of the liquid-crystal-on-silicon devices,” Jpn J. Appl. Phys. 41, 4577–4585 (2002).
[CrossRef]

Nature (1)

D. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
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J. Liesener, M. Reicherter, and H. Tiziani, “Determination and compensation of aberrations using SLMs,” Opt. Commun. 233, 161–166 (2004).
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Opt. Eng. (1)

C. Kohler, T. Haist, and W. Osten, “Model-free method for measuring the full Jones matrix of reflective liquid-crystal displays,” Opt. Eng. 48, 044002 (2009).
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Optik (1)

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Proc. Fringe (1)

F. Schaal, M. Warber, C. Rembe, T. Haist, and W. Osten, “Dynamic multipoint vibrometry using spatial light modulators,” Proc. Fringe 2009, 529–531 (2009).

Proc. SPIE (3)

M. Warber, S. Zwick, M. Hasler, T. Haist, and W. Osten, “SLM-based phase-contrast filtering for single and multiple image acquisition,” Proc. SPIE 7442, 74420E (2009).
[CrossRef]

M. Reicherter, W. Gorski, T. Haist, and W. Osten, “Dynamic correction of aberrations in microscopic imaging systems using an artificial point source,” Proc. SPIE 5462, 68–78 (2004).
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Other (3)

T. Haist, C. Lingel, W. Osten, C. Rembe, M. Winter, and M. Giesen, “SLM-based multipoint vibrometry,” in Optical Sensors (Optical Society of America, 2012), paper SM2F.1.

K. Leonhardt, “Kontrast, Helligkeit und Streifenversetzung in Interferometern mit unterschiedlich polarisierten Teilstrahlen,” Ph.D. thesis (University Stuttgart, 1972).

M. Persson, D. Engström, J. Bengtsson, and M. Goksör, “Realistic treatment of spatial light modulator pixelation in real-time design algorithms for holographic spot generation,” in Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2011), paper DWC32.

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Figures (10)

Fig. 1.
Fig. 1.

Microscopic image of the SLM. The fringing field effect is clearly visible at the edges of the rectangles. The pixel gray values are 0 (background) and 60 (rectangles).

Fig. 2.
Fig. 2.

Optical setup for measuring the subpixel phase-reduced Jones matrix of an SLM.

Fig. 3.
Fig. 3.

Interferometric setup for determining the phase factor.

Fig. 4.
Fig. 4.

Resulting phase values dependent on the gray values, which are written in the SLM.

Fig. 5.
Fig. 5.

Example of an intensity measurement with the scheme of subpixel segmentation. Intensity is measured at the subpixels adjacent to the edge between the two different gray values GV1 (40) and GV2 (52). The intensity was taken by averaging a subregion of 4×4 pixels in the middle of the defined subpixel. For noise suppression, it was possible to average this intensity over four adjacent subpixels with the same gray values.

Fig. 6.
Fig. 6.

Simulated diffraction efficiency for different blazed gratings using the Jones matrix model.

Fig. 7.
Fig. 7.

Simulated diffraction efficiency for different blazed gratings using the convolution model.

Fig. 8.
Fig. 8.

Optical setup for measuring the diffraction efficiency.

Fig. 9.
Fig. 9.

Measured diffraction efficiency for the Jones matrix model optimization.

Fig. 10.
Fig. 10.

Measured diffraction efficiency for the convolution model optimization.

Tables (2)

Tables Icon

Table 1. Fifteen Different Configurations of the Two Polarizers and the Quarter-Wave Plate

Tables Icon

Table 2. Simulated Blazed Gratings with Different Pixel Periods and Orientations for the Two Simulation Models

Equations (6)

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

ηq=sinc2(q2N)sinc2(qΦ0/(2π))sinc2(qΦ0/(2π)2N),
ηdiff=IdiffIwithout,
J̲=[Axexp(iϕx)Ayexp(iϕy)]
J̲̲=[Axxexp(iϕxx)Axyexp(iϕxy)Ayxexp(iϕyx)Ayyexp(iϕyy)]
J̲̲=apfJpr̲̲,
Jpr̲̲=[AxxAxyexp(i(ϕxyϕxx))Ayxexp(i(ϕyxϕxx))Ayyexp(i(ϕyyϕxx))].

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