Abstract

A technique of cross talk mitigation developed for liquid crystal on silicon spatial light modulator based optical interconnects and fiber switches is demonstrated. By purposefully introducing an appropriate aberration into the system, it is possible to reduce the worst-case cross talk by over 10 dB compared to conventional Fourier-transform-based designs. Tests at a wavelength of 674 nm validate this approach, and show that there is no noticeable reduction in diffraction efficiency. A 27% spot increase in beam diameter is observed, which is predicted to reduce at longer datacom and telecom wavelengths.

© 2012 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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2011

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

2009

L. Xu, J. Zhang, and L. Y. Wu, “Influence of phase delay profile on diffraction efficiency of liquid crystal optical phased array,” Opt. Laser Technol. 41, 509–516 (2009).
[CrossRef]

2006

2005

A. G. Georgiou, M. Komarcevic, T. D. Wilkinson, and W. A. Crossland, “Hologram optimisation using liquid crystal modelling,” Mol. Cryst. Liq. Cryst. 434, 183–198 (2005).
[CrossRef]

2004

2003

E. Hallstig, L. Sjoqvist, and M. Lindgren, “Intensity variations using a quantized spatial light modulator for non-mechanical beam steering,” Opt. Eng. 42, 613–619 (2003).
[CrossRef]

2002

C. Uche, B. Fracasso, W. A. Crossland, J. L. de Bougrenet de la Tocnaye, and T. D. Wilkinson, “Development of large capacity and low-crosstalk holographic switches using LCOS spatial light modulators,” Ferroelectrics 278, 219–226 (2002).
[CrossRef]

M. Johansson, S. Hård, B. Robertson, I. Manolis, T. Wilkinson, and W. Crossland, “Adaptive beam steering implemented in a ferroelectric liquid crystal spatial-light-modulator free-space, fiber-optic switch,” Appl. Opt. 41, 4904–4911 (2002).
[CrossRef]

2001

2000

1999

P. M. Blanchard and A. H. Greenaway, “Simultaneous multiplane imaging with a distorted diffraction grating,” Appl. Opt. 38, 6692–6699 (1999).
[CrossRef]

J. E. Stockley, D. Subacius, and S. A. Serati, “The influence of the interpixel region in liquid crystal diffraction gratings,” Proc. SPIE 3635, 127–136 (1999).

1993

1977

D. Marcuse, “Loss analysis of single-mode fiber splices,” Bell Syst. Tech. J. 56, 703–718 (1977).

1972

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Abramowitz, M.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1965), Chap. 7.

Aksyuk, V. A.

Basavanhally, N. R.

Blanchard, P. M.

Bolle, C. A.

Bonas, I. G.

Booth, M. J.

Campos, J.

Chu, D. P.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Chu, H. H.

Collings, N.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Crossland, A. A.

Crossland, B.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

Crossland, W.

Crossland, W. A.

A. G. Georgiou, M. Komarcevic, T. D. Wilkinson, and W. A. Crossland, “Hologram optimisation using liquid crystal modelling,” Mol. Cryst. Liq. Cryst. 434, 183–198 (2005).
[CrossRef]

C. Uche, B. Fracasso, W. A. Crossland, J. L. de Bougrenet de la Tocnaye, and T. D. Wilkinson, “Development of large capacity and low-crosstalk holographic switches using LCOS spatial light modulators,” Ferroelectrics 278, 219–226 (2002).
[CrossRef]

W. A. Crossland, I. G. Manolis, M. M. Redmond, K. L. Tan, T. D. Wilkinson, M. J. Holmes, T. R. Parker, H. H. Chu, J. Croucher, V. A. Handerek, S. T. Warr, B. Robertson, I. G. Bonas, R. Franklin, C. Stace, H. J. White, R. A. Woolley, and G. Henshall, “Holographic optical switching: the ROSES demonstrator,” J. Lightwave Technol. 18, 1845–1854(2000).
[CrossRef]

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Croucher, J.

Davis, J. A.

de Bougrenet de la Tocnaye, J. L.

C. Uche, B. Fracasso, W. A. Crossland, J. L. de Bougrenet de la Tocnaye, and T. D. Wilkinson, “Development of large capacity and low-crosstalk holographic switches using LCOS spatial light modulators,” Ferroelectrics 278, 219–226 (2002).
[CrossRef]

Escalera, J. C.

Faulkner, G.

Ford, J. E.

Fracasso, B.

C. Uche, B. Fracasso, W. A. Crossland, J. L. de Bougrenet de la Tocnaye, and T. D. Wilkinson, “Development of large capacity and low-crosstalk holographic switches using LCOS spatial light modulators,” Ferroelectrics 278, 219–226 (2002).
[CrossRef]

Frahm, R.

Franklin, R.

Gasparyan, A.

Gates, J. V.

Georgiou, A. G.

A. G. Georgiou, M. Komarcevic, T. D. Wilkinson, and W. A. Crossland, “Hologram optimisation using liquid crystal modelling,” Mol. Cryst. Liq. Cryst. 434, 183–198 (2005).
[CrossRef]

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Greenaway, A. H.

Hallstig, E.

E. Hallstig, L. Sjoqvist, and M. Lindgren, “Intensity variations using a quantized spatial light modulator for non-mechanical beam steering,” Opt. Eng. 42, 613–619 (2003).
[CrossRef]

Handerek, V. A.

Hård, S.

Henderson, C. J.

Henshall, G.

Holmes, M. J.

Iemmi, C.

Jeziorska-Chapman, A. M.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Johansson, M.

Kim, J.

Kolodner, P.

Komarcevic, M.

A. G. Georgiou, M. Komarcevic, T. D. Wilkinson, and W. A. Crossland, “Hologram optimisation using liquid crystal modelling,” Mol. Cryst. Liq. Cryst. 434, 183–198 (2005).
[CrossRef]

Ledesma, S.

Leyva, D. G.

Lin, R.

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Lindgren, M.

E. Hallstig, L. Sjoqvist, and M. Lindgren, “Intensity variations using a quantized spatial light modulator for non-mechanical beam steering,” Opt. Eng. 42, 613–619 (2003).
[CrossRef]

Liu, J.

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Manolis, I.

Manolis, I. G.

Marcuse, D.

D. Marcuse, “Loss analysis of single-mode fiber splices,” Bell Syst. Tech. J. 56, 703–718 (1977).

Márquez, A.

Mears, R. J.

Milne, B.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

Moore, J.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

Moore, J. R.

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Neil, M. A. A.

Neilson, D. T.

Noponen, E.

Nuzman, C. J.

O’Brien, A. C.

Ozaktas, H. M.

H. M. Ozaktas, The Fractional Fourier Transform: with Applications in Optics and Signal Processing (Wiley, 2001).

Papazian, A. R.

Parker, T. R.

Pivenko, M.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

Redmond, M. M.

Robertson, B.

D. G. Leyva, B. Robertson, T. D. Wilkinson, and C. J. Henderson, “Aberration correction in an adaptive free-space optical interconnect with an error diffusion algorithm,” Appl. Opt. 45, 3782–3792 (2006).
[CrossRef]

D. G. Leyva, B. Robertson, C. J. Henderson, T. D. Wilkinson, A. C. O’Brien, and G. Faulkner, “Cross-talk analysis in a telecentric adaptive free-space optical relay based on a spatial light modulator,” Appl. Opt. 45, 63–75 (2006).
[CrossRef]

M. Johansson, S. Hård, B. Robertson, I. Manolis, T. Wilkinson, and W. Crossland, “Adaptive beam steering implemented in a ferroelectric liquid crystal spatial-light-modulator free-space, fiber-optic switch,” Appl. Opt. 41, 4904–4911 (2002).
[CrossRef]

K. L. Tan, S. T. Warr, I. G. Manolis, T. D. Wilkinson, M. M. Redmond, A. A. Crossland, R. J. Mears, and B. Robertson, “Dynamic holography for optical interconnections II. Routing holograms with predictable location and intensity of each diffraction order,” J. Opt. Soc. Am. A 18, 205–215 (2001).
[CrossRef]

W. A. Crossland, I. G. Manolis, M. M. Redmond, K. L. Tan, T. D. Wilkinson, M. J. Holmes, T. R. Parker, H. H. Chu, J. Croucher, V. A. Handerek, S. T. Warr, B. Robertson, I. G. Bonas, R. Franklin, C. Stace, H. J. White, R. A. Woolley, and G. Henshall, “Holographic optical switching: the ROSES demonstrator,” J. Lightwave Technol. 18, 1845–1854(2000).
[CrossRef]

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Ryf, R.

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Serati, S. A.

J. E. Stockley, D. Subacius, and S. A. Serati, “The influence of the interpixel region in liquid crystal diffraction gratings,” Proc. SPIE 3635, 127–136 (1999).

Sjoqvist, L.

E. Hallstig, L. Sjoqvist, and M. Lindgren, “Intensity variations using a quantized spatial light modulator for non-mechanical beam steering,” Opt. Eng. 42, 613–619 (2003).
[CrossRef]

Solgaard, O.

Stace, C.

Stegun, I. A.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1965), Chap. 7.

Stockley, J. E.

J. E. Stockley, D. Subacius, and S. A. Serati, “The influence of the interpixel region in liquid crystal diffraction gratings,” Proc. SPIE 3635, 127–136 (1999).

Subacius, D.

J. E. Stockley, D. Subacius, and S. A. Serati, “The influence of the interpixel region in liquid crystal diffraction gratings,” Proc. SPIE 3635, 127–136 (1999).

Tan, K. L.

Turunen, J.

Uche, C.

C. Uche, B. Fracasso, W. A. Crossland, J. L. de Bougrenet de la Tocnaye, and T. D. Wilkinson, “Development of large capacity and low-crosstalk holographic switches using LCOS spatial light modulators,” Ferroelectrics 278, 219–226 (2002).
[CrossRef]

Vasara, A.

Warr, S. T.

White, H. J.

Wilkinson, T.

Wilkinson, T. D.

D. G. Leyva, B. Robertson, C. J. Henderson, T. D. Wilkinson, A. C. O’Brien, and G. Faulkner, “Cross-talk analysis in a telecentric adaptive free-space optical relay based on a spatial light modulator,” Appl. Opt. 45, 63–75 (2006).
[CrossRef]

D. G. Leyva, B. Robertson, T. D. Wilkinson, and C. J. Henderson, “Aberration correction in an adaptive free-space optical interconnect with an error diffusion algorithm,” Appl. Opt. 45, 3782–3792 (2006).
[CrossRef]

A. G. Georgiou, M. Komarcevic, T. D. Wilkinson, and W. A. Crossland, “Hologram optimisation using liquid crystal modelling,” Mol. Cryst. Liq. Cryst. 434, 183–198 (2005).
[CrossRef]

C. Uche, B. Fracasso, W. A. Crossland, J. L. de Bougrenet de la Tocnaye, and T. D. Wilkinson, “Development of large capacity and low-crosstalk holographic switches using LCOS spatial light modulators,” Ferroelectrics 278, 219–226 (2002).
[CrossRef]

K. L. Tan, S. T. Warr, I. G. Manolis, T. D. Wilkinson, M. M. Redmond, A. A. Crossland, R. J. Mears, and B. Robertson, “Dynamic holography for optical interconnections II. Routing holograms with predictable location and intensity of each diffraction order,” J. Opt. Soc. Am. A 18, 205–215 (2001).
[CrossRef]

W. A. Crossland, I. G. Manolis, M. M. Redmond, K. L. Tan, T. D. Wilkinson, M. J. Holmes, T. R. Parker, H. H. Chu, J. Croucher, V. A. Handerek, S. T. Warr, B. Robertson, I. G. Bonas, R. Franklin, C. Stace, H. J. White, R. A. Woolley, and G. Henshall, “Holographic optical switching: the ROSES demonstrator,” J. Lightwave Technol. 18, 1845–1854(2000).
[CrossRef]

Wilson, T.

Woolley, R. A.

Wu, L. Y.

L. Xu, J. Zhang, and L. Y. Wu, “Influence of phase delay profile on diffraction efficiency of liquid crystal optical phased array,” Opt. Laser Technol. 41, 509–516 (2009).
[CrossRef]

Wu, M. C.

Xu, L.

L. Xu, J. Zhang, and L. Y. Wu, “Influence of phase delay profile on diffraction efficiency of liquid crystal optical phased array,” Opt. Laser Technol. 41, 509–516 (2009).
[CrossRef]

Yang, H.

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Yzuel, M. J.

Zhang, J.

L. Xu, J. Zhang, and L. Y. Wu, “Influence of phase delay profile on diffraction efficiency of liquid crystal optical phased array,” Opt. Laser Technol. 41, 509–516 (2009).
[CrossRef]

Zhang, Z.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

Appl. Opt.

Bell Syst. Tech. J.

D. Marcuse, “Loss analysis of single-mode fiber splices,” Bell Syst. Tech. J. 56, 703–718 (1977).

Ferroelectrics

C. Uche, B. Fracasso, W. A. Crossland, J. L. de Bougrenet de la Tocnaye, and T. D. Wilkinson, “Development of large capacity and low-crosstalk holographic switches using LCOS spatial light modulators,” Ferroelectrics 278, 219–226 (2002).
[CrossRef]

J. Displ. Technol.

Z. Zhang, A. M. Jeziorska-Chapman, N. Collings, M. Pivenko, J. Moore, B. Crossland, D. P. Chu, and B. Milne, “High quality assembly of phase-only liquid crystal on silicon (LCOS) devices,” J. Displ. Technol. 7, 120–126 (2011).
[CrossRef]

J. Lightwave Technol.

J. Opt. Soc. Am. A

Mol. Cryst. Liq. Cryst.

A. G. Georgiou, M. Komarcevic, T. D. Wilkinson, and W. A. Crossland, “Hologram optimisation using liquid crystal modelling,” Mol. Cryst. Liq. Cryst. 434, 183–198 (2005).
[CrossRef]

Opt. Eng.

E. Hallstig, L. Sjoqvist, and M. Lindgren, “Intensity variations using a quantized spatial light modulator for non-mechanical beam steering,” Opt. Eng. 42, 613–619 (2003).
[CrossRef]

Opt. Laser Technol.

L. Xu, J. Zhang, and L. Y. Wu, “Influence of phase delay profile on diffraction efficiency of liquid crystal optical phased array,” Opt. Laser Technol. 41, 509–516 (2009).
[CrossRef]

Optik

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Proc. SPIE

J. E. Stockley, D. Subacius, and S. A. Serati, “The influence of the interpixel region in liquid crystal diffraction gratings,” Proc. SPIE 3635, 127–136 (1999).

Other

Zemax, Radiant ZEMAX LLC.

B. Robertson, Z. Zhang, H. Yang, M. M. Redmond, N. Collings, J. Liu, R. Lin, A. M. Jeziorska-Chapman, J. R. Moore, W. A. Crossland, and D. P. Chu are preparing a manuscript to be called, “Application of the fractional fast Fourier transform to the design of LCOS based optical interconnects and fiber switches,” to be submitted to Applied Optics (2011).

H. M. Ozaktas, The Fractional Fourier Transform: with Applications in Optics and Signal Processing (Wiley, 2001).

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1965), Chap. 7.

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