D. Palima and V. R. Daria, “Holographic projection of arbitrary light patterns with a suppressed zero-order beam,” Appl. Opt. 46, 4197–4201 (2007).

[CrossRef]

G. Milewski, D. Engström, and J. Bengtsson, “Diffractive optical elements designed for highly precise far-field generation in the presence of artifacts typical for pixelated spatial light modulators,” Appl. Opt. 46, 95–105 (2007).

[CrossRef]

A. J. Caley, M. Braun, A. J. Waddie, and M. R. Taghizadeh, “Analysis of multimask fabrication errors for diffractive optical elements,” Appl. Opt. 46, 2180–2188 (2007).

[CrossRef]

V. Kettunen, K. Jefimovs, J. Simonen, O. Ripoll, M. Kuittinen, and H. P. Herzig, “Diffractive elements designed to suppress unwanted zeroth order due to surface depth error,” J. Mod. Opt. 51, 2111–2123 (2004).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43, 2549–2556 (2004).

[CrossRef]

R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–250 (1972).

J. Carpenter and T. D. Wilkinson, “Graphics processing unit–accelerated holography by simulated annealing,” Opt. Eng. 49, 095801 (2010).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–250 (1972).

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

J. W. Goodman, Introduction to Fourier Optics, 3rd ed.(Roberts & Co., 2005), pp 82–84.

J. W. Goodman, Introduction to Fourier Optics, 3rd ed.(Roberts & Co., 2005), pp. 103–108.

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43, 2549–2556 (2004).

[CrossRef]

V. Kettunen, K. Jefimovs, J. Simonen, O. Ripoll, M. Kuittinen, and H. P. Herzig, “Diffractive elements designed to suppress unwanted zeroth order due to surface depth error,” J. Mod. Opt. 51, 2111–2123 (2004).

[CrossRef]

V. Kettunen, K. Jefimovs, J. Simonen, O. Ripoll, M. Kuittinen, and H. P. Herzig, “Diffractive elements designed to suppress unwanted zeroth order due to surface depth error,” J. Mod. Opt. 51, 2111–2123 (2004).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

V. Kettunen, K. Jefimovs, J. Simonen, O. Ripoll, M. Kuittinen, and H. P. Herzig, “Diffractive elements designed to suppress unwanted zeroth order due to surface depth error,” J. Mod. Opt. 51, 2111–2123 (2004).

[CrossRef]

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43, 2549–2556 (2004).

[CrossRef]

V. Kettunen, K. Jefimovs, J. Simonen, O. Ripoll, M. Kuittinen, and H. P. Herzig, “Diffractive elements designed to suppress unwanted zeroth order due to surface depth error,” J. Mod. Opt. 51, 2111–2123 (2004).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

V. Kettunen, K. Jefimovs, J. Simonen, O. Ripoll, M. Kuittinen, and H. P. Herzig, “Diffractive elements designed to suppress unwanted zeroth order due to surface depth error,” J. Mod. Opt. 51, 2111–2123 (2004).

[CrossRef]

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43, 2549–2556 (2004).

[CrossRef]

R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–250 (1972).

V. Kettunen, K. Jefimovs, J. Simonen, O. Ripoll, M. Kuittinen, and H. P. Herzig, “Diffractive elements designed to suppress unwanted zeroth order due to surface depth error,” J. Mod. Opt. 51, 2111–2123 (2004).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

A. J. Caley, M. Braun, A. J. Waddie, and M. R. Taghizadeh, “Analysis of multimask fabrication errors for diffractive optical elements,” Appl. Opt. 46, 2180–2188 (2007).

[CrossRef]

M. J. Thomson and M. R. Taghizadeh, “Design and fabrication of Fourier plane diffractive optical elements for high-power fibre-coupling applications,” Opt. Lasers Eng. 43, 671–681 (2005).

[CrossRef]

J. S. Liu and M. R. Taghizadeh, “Iterative algorithm for the design of diffractive phase elements for laser beam shaping,” Opt. Lett. 27, 1463–1465 (2002).

[CrossRef]

M. J. Thomson and M. R. Taghizadeh, “Design and fabrication of Fourier plane diffractive optical elements for high-power fibre-coupling applications,” Opt. Lasers Eng. 43, 671–681 (2005).

[CrossRef]

J. Carpenter and T. D. Wilkinson, “Graphics processing unit–accelerated holography by simulated annealing,” Opt. Eng. 49, 095801 (2010).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

J. Gillet and Y. Sheng, “Multiplexed computer-generated holograms with polygonal-aperture layouts optimized by genetic algorithm,” Appl. Opt. 42, 4156–4165 (2003).

[CrossRef]

A. Moya, D. Mendlovic, J. Garcia, and C. Ferreira, “Projection-invariant pattern recognition with a phase-only logarithmic-harmonic-derived filter,” Appl. Opt. 35, 3862–3862 (1996).

[CrossRef]

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

[CrossRef]

H. Zhang, J. Xie, J. Liu, and Y. Wang, “Elimination of a zero-order beam induced by a pixelated spatial light modulator for holographic projection,” Appl. Opt. 48, 5834–5841 (2009).

[CrossRef]

D. W. K. Wong and G. Chen, “Redistribution of the zero order by the use of a phase checkerboard pattern in computer generated holograms,” Appl. Opt. 47, 602–610 (2008).

[CrossRef]

D. Palima and V. R. Daria, “Holographic projection of arbitrary light patterns with a suppressed zero-order beam,” Appl. Opt. 46, 4197–4201 (2007).

[CrossRef]

A. W. Lohmann and D. P. Paris, “Binary Frauhofer holograms, generated by computer,” Appl. Opt. 6, 1739–1748 (1967).

[CrossRef]

G. Milewski, D. Engström, and J. Bengtsson, “Diffractive optical elements designed for highly precise far-field generation in the presence of artifacts typical for pixelated spatial light modulators,” Appl. Opt. 46, 95–105 (2007).

[CrossRef]

A. J. Caley, M. Braun, A. J. Waddie, and M. R. Taghizadeh, “Analysis of multimask fabrication errors for diffractive optical elements,” Appl. Opt. 46, 2180–2188 (2007).

[CrossRef]

V. Kettunen, K. Jefimovs, J. Simonen, O. Ripoll, M. Kuittinen, and H. P. Herzig, “Diffractive elements designed to suppress unwanted zeroth order due to surface depth error,” J. Mod. Opt. 51, 2111–2123 (2004).

[CrossRef]

O. Ripoll, V. Kettunen, and H. P. Herzig, “Review of iterative Fourier-transform algorithms for beam shaping applications,” Opt. Eng. 43, 2549–2556 (2004).

[CrossRef]

J. Carpenter and T. D. Wilkinson, “Graphics processing unit–accelerated holography by simulated annealing,” Opt. Eng. 49, 095801 (2010).

[CrossRef]

G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. Laczik, M. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping,” Opt. Express 12, 1665–1670 (2004).

[CrossRef]

S.-H. Lee and D. Grier, “Robustness of holographic optical traps against phase scaling errors,” Opt. Express 13, 7458–7465 (2005).

[CrossRef]

M. J. Thomson and M. R. Taghizadeh, “Design and fabrication of Fourier plane diffractive optical elements for high-power fibre-coupling applications,” Opt. Lasers Eng. 43, 671–681 (2005).

[CrossRef]

R. W. Gerchberg and W. O. Saxton, “Practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–250 (1972).

J. W. Goodman, Introduction to Fourier Optics, 3rd ed.(Roberts & Co., 2005), pp. 103–108.

Boulder Nonlinear Systems, “100% fill factor,” http://bnonlinear.com/papers/new/100%20Fill%20Factor%20White%20Paper.pdf .

J. W. Goodman, Introduction to Fourier Optics, 3rd ed.(Roberts & Co., 2005), pp 82–84.

Boulder Nonlinear Systems, “XY format spatial light modulator date sheet,” http://www.bnonlinear.com/products/xyslm/XYSeriesDS0909.pdf .