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T. Inoue, N. Matsumoto, N. Fukuchia, Y. Kobayashi, and T. Hara, “Highly stable wavefront control using a hybrid liquid-crystal spatial light modulator,” Proc. SPIE 6306, 630603 (2006).

[Crossref]
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V. Boyer, R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, “Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator,” Phys. Rev. A 73, 031402 (2006).

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[Crossref]
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A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, “Propagation of Bose-Einstein condensates in a magnetic waveguide,” Phys. Rev. Lett. 89, 040401 (2002).

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[Crossref]
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B. T. Seaman, M. Krämer, D. Z. Anderson, and M. J. Holland, “Atomtronics: Ultracold-atom analogs of electronic devices,” Phys. Rev. A 75, 023615 (2007).

[Crossref]
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J. Estève, C. Aussibal, T. Schumm, C. Figl, D. Mailly, I. Bouchoule, C. I. Westbrook, and A. Aspect, “Role of wire imperfections in micromagnetic traps for atoms,” Phys. Rev. A 70, 043629 (2004).

[Crossref]
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J. Estève, C. Aussibal, T. Schumm, C. Figl, D. Mailly, I. Bouchoule, C. I. Westbrook, and A. Aspect, “Role of wire imperfections in micromagnetic traps for atoms,” Phys. Rev. A 70, 043629 (2004).

[Crossref]
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[Crossref]

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[Crossref]
[PubMed]

J. Estève, C. Aussibal, T. Schumm, C. Figl, D. Mailly, I. Bouchoule, C. I. Westbrook, and A. Aspect, “Role of wire imperfections in micromagnetic traps for atoms,” Phys. Rev. A 70, 043629 (2004).

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[Crossref]
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J. Sebby-Strabley, R. T. R. Newell, J. O. Day, E. Brekke, and T. G. Walker, “High-density mesoscopic atom clouds in a holographic atom trap,” Phys. Rev. A 71, 021401 (2005).

[Crossref]
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[Crossref]
[PubMed]

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[Crossref]
[PubMed]

V. Boyer, R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, “Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator,” Phys. Rev. A 73, 031402 (2006).

[Crossref]
[PubMed]

V. Boyer, R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, “Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator,” Phys. Rev. A 73, 031402 (2006).

[Crossref]
[PubMed]

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[Crossref]
[PubMed]

A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, “Propagation of Bose-Einstein condensates in a magnetic waveguide,” Phys. Rev. Lett. 89, 040401 (2002).

[Crossref]
[PubMed]

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[Crossref]
[PubMed]

R. Ozeri, L. Khaykovich, and N. Davidson, “Long spin relaxation times in a single-beam blue-detuned optical trap,” Phys. Rev. A 59, R1750–R1753 (1999).

[Crossref]
[PubMed]

J. Sebby-Strabley, R. T. R. Newell, J. O. Day, E. Brekke, and T. G. Walker, “High-density mesoscopic atom clouds in a holographic atom trap,” Phys. Rev. A 71, 021401 (2005).

[Crossref]
[PubMed]

V. Boyer, R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, “Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator,” Phys. Rev. A 73, 031402 (2006).

[Crossref]
[PubMed]

B. DeMarco, C. Lannert, S. Vishveshwara, and T.-C. Wei, “Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice,” Phys. Rev. A 71, 063601 (2005).

[Crossref]
[PubMed]

G. C. Spalding, J. Courtial, and R. DiLeonardo, “Holographic Optical Trapping,” in Structured Light and its Applications: An Introduction to Phase-Structured Beams and Nanoscale Optical Forces, D.L. Andrews ed., (Elsevier Press) (to be published).

[PubMed]

J. Estève, C. Aussibal, T. Schumm, C. Figl, D. Mailly, I. Bouchoule, C. I. Westbrook, and A. Aspect, “Role of wire imperfections in micromagnetic traps for atoms,” Phys. Rev. A 70, 043629 (2004).

[Crossref]
[PubMed]

J. R. Fienup, “Iterative method applied to image reconstruction and to computer-generated holograms,” Opt. Eng. 19, 297–305 (1980).

[PubMed]

J. Estève, C. Aussibal, T. Schumm, C. Figl, D. Mailly, I. Bouchoule, C. I. Westbrook, and A. Aspect, “Role of wire imperfections in micromagnetic traps for atoms,” Phys. Rev. A 70, 043629 (2004).

[Crossref]
[PubMed]

V. Boyer, R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, “Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator,” Phys. Rev. A 73, 031402 (2006).

[Crossref]
[PubMed]

J. Fortágh, H. Ott, S. Kraft, A. Günther, and C. Zimmermann, “Surface effects in magnetic microtraps,” Phys. Rev. A 66, 041604 (2002).

[Crossref]
[PubMed]

T. Inoue, N. Matsumoto, N. Fukuchia, Y. Kobayashi, and T. Hara, “Highly stable wavefront control using a hybrid liquid-crystal spatial light modulator,” Proc. SPIE 6306, 630603 (2006).

[Crossref]
[PubMed]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Cold bosonic atoms in optical lattices,” Phys. Rev. Lett. 81, 3108–3111 (1998).

[Crossref]
[PubMed]

V. Boyer, R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, “Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator,” Phys. Rev. A 73, 031402 (2006).

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[Crossref]
[PubMed]

A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, “Propagation of Bose-Einstein condensates in a magnetic waveguide,” Phys. Rev. Lett. 89, 040401 (2002).

[Crossref]
[PubMed]

T. Inoue, N. Matsumoto, N. Fukuchia, Y. Kobayashi, and T. Hara, “Highly stable wavefront control using a hybrid liquid-crystal spatial light modulator,” Proc. SPIE 6306, 630603 (2006).

[Crossref]
[PubMed]

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]
[PubMed]

B. T. Seaman, M. Krämer, D. Z. Anderson, and M. J. Holland, “Atomtronics: Ultracold-atom analogs of electronic devices,” Phys. Rev. A 75, 023615 (2007).

[Crossref]
[PubMed]

T. Inoue, N. Matsumoto, N. Fukuchia, Y. Kobayashi, and T. Hara, “Highly stable wavefront control using a hybrid liquid-crystal spatial light modulator,” Proc. SPIE 6306, 630603 (2006).

[Crossref]
[PubMed]

D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Cold bosonic atoms in optical lattices,” Phys. Rev. Lett. 81, 3108–3111 (1998).

[Crossref]
[PubMed]

A. E. Leanhardt, Y. Shin, A. P. Chikkatur, D. Kielpinski, W. Ketterle, and D. E. Pritchard, “Bose-Einstein condensates near a microfabricated surface,” Phys. Rev. Lett. 90, 100404 (2003).

[Crossref]
[PubMed]

A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, “Propagation of Bose-Einstein condensates in a magnetic waveguide,” Phys. Rev. Lett. 89, 040401 (2002).

[Crossref]
[PubMed]

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]
[PubMed]

R. Ozeri, L. Khaykovich, and N. Davidson, “Long spin relaxation times in a single-beam blue-detuned optical trap,” Phys. Rev. A 59, R1750–R1753 (1999).

[Crossref]
[PubMed]

A. E. Leanhardt, Y. Shin, A. P. Chikkatur, D. Kielpinski, W. Ketterle, and D. E. Pritchard, “Bose-Einstein condensates near a microfabricated surface,” Phys. Rev. Lett. 90, 100404 (2003).

[Crossref]
[PubMed]

A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, “Propagation of Bose-Einstein condensates in a magnetic waveguide,” Phys. Rev. Lett. 89, 040401 (2002).

[Crossref]
[PubMed]

T. Inoue, N. Matsumoto, N. Fukuchia, Y. Kobayashi, and T. Hara, “Highly stable wavefront control using a hybrid liquid-crystal spatial light modulator,” Proc. SPIE 6306, 630603 (2006).

[Crossref]
[PubMed]

V. V. Kotlyar, P. G. Seraphimovich, and V. A. Soifer, “An iterative algorithm for designing diffractive optical elements with regularization,” Opt. Laser Eng. 29, 261–268 (1998).

[Crossref]
[PubMed]

J. Fortágh, H. Ott, S. Kraft, A. Günther, and C. Zimmermann, “Surface effects in magnetic microtraps,” Phys. Rev. A 66, 041604 (2002).

[Crossref]
[PubMed]

B. T. Seaman, M. Krämer, D. Z. Anderson, and M. J. Holland, “Atomtronics: Ultracold-atom analogs of electronic devices,” Phys. Rev. A 75, 023615 (2007).

[Crossref]
[PubMed]

V. Boyer, R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, “Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator,” Phys. Rev. A 73, 031402 (2006).

[Crossref]
[PubMed]

B. DeMarco, C. Lannert, S. Vishveshwara, and T.-C. Wei, “Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice,” Phys. Rev. A 71, 063601 (2005).

[Crossref]
[PubMed]

A. Bezryadin, C. N. Lau, and M. Tinkham, “Quantum suppression of superconductivity in ultrathin nanowires”, Nature 404, 971–974 (2000).

[Crossref]
[PubMed]

A. E. Leanhardt, Y. Shin, A. P. Chikkatur, D. Kielpinski, W. Ketterle, and D. E. Pritchard, “Bose-Einstein condensates near a microfabricated surface,” Phys. Rev. Lett. 90, 100404 (2003).

[Crossref]
[PubMed]

A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, “Propagation of Bose-Einstein condensates in a magnetic waveguide,” Phys. Rev. Lett. 89, 040401 (2002).

[Crossref]
[PubMed]

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, “Atomic Bose and Anderson glasses in optical lattices,” Phys. Rev. Lett. 91, 080403 (2003).

[Crossref]
[PubMed]

J. Estève, C. Aussibal, T. Schumm, C. Figl, D. Mailly, I. Bouchoule, C. I. Westbrook, and A. Aspect, “Role of wire imperfections in micromagnetic traps for atoms,” Phys. Rev. A 70, 043629 (2004).

[Crossref]
[PubMed]

T. Inoue, N. Matsumoto, N. Fukuchia, Y. Kobayashi, and T. Hara, “Highly stable wavefront control using a hybrid liquid-crystal spatial light modulator,” Proc. SPIE 6306, 630603 (2006).

[Crossref]
[PubMed]

D. R. Scherer, C. N. Weiler, T. W. Neely, and B. P. Anderson, “Vortex formation by merging of multiple trapped Bose-Einstein condensates,” Phys. Rev. Lett. 98, 110402 (2007).

[Crossref]
[PubMed]

J. Sebby-Strabley, R. T. R. Newell, J. O. Day, E. Brekke, and T. G. Walker, “High-density mesoscopic atom clouds in a holographic atom trap,” Phys. Rev. A 71, 021401 (2005).

[Crossref]
[PubMed]

J. Fortágh, H. Ott, S. Kraft, A. Günther, and C. Zimmermann, “Surface effects in magnetic microtraps,” Phys. Rev. A 66, 041604 (2002).

[Crossref]
[PubMed]

R. Ozeri, L. Khaykovich, and N. Davidson, “Long spin relaxation times in a single-beam blue-detuned optical trap,” Phys. Rev. A 59, R1750–R1753 (1999).

[Crossref]
[PubMed]

An IFTA is most generically described using the block-projection algorithm formalism, which is not necessary for the relatively simple MRAF algorithm. For a description of the block-projection formalism as applied to IFTAs, see R. Piestun and J. Shamir, “Synthesis of Three-Dimensional Light Fields and Applications,” Proc. IEEE 90, 222–244 (2002).

[Crossref]
[PubMed]

A. E. Leanhardt, Y. Shin, A. P. Chikkatur, D. Kielpinski, W. Ketterle, and D. E. Pritchard, “Bose-Einstein condensates near a microfabricated surface,” Phys. Rev. Lett. 90, 100404 (2003).

[Crossref]
[PubMed]

A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, “Propagation of Bose-Einstein condensates in a magnetic waveguide,” Phys. Rev. Lett. 89, 040401 (2002).

[Crossref]
[PubMed]

N. Bertaux, Y. Frauel, P. Réfrégier, and B. Javidi, “Speckle removal using a maximum-likelihood technique with isoline gray-level regularization,” J. Opt. Soc. Am. A 21, 2283–2291 (2004).

[Crossref]
[PubMed]

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[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]
[PubMed]

B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, “Atomic Bose and Anderson glasses in optical lattices,” Phys. Rev. Lett. 91, 080403 (2003).

[Crossref]
[PubMed]

D. R. Scherer, C. N. Weiler, T. W. Neely, and B. P. Anderson, “Vortex formation by merging of multiple trapped Bose-Einstein condensates,” Phys. Rev. Lett. 98, 110402 (2007).

[Crossref]
[PubMed]

P. Senthilkumaran, F. Wyrowski, and H. Schimmel, “Vortex stagnation problem in iterative Fourier-transform algorithms,” Opt. Lasers Eng. 43, 43–56 (2005).

[Crossref]
[PubMed]

H. Aagedal, M. Schmid, T. Beth, S. Tiewes, and F. Wyrowski, “Theory of speckles in diffractive optics and its application to beam shaping,” J. Mod. Opt. 43, 1409–1421 (1996).

[Crossref]

J. Estève, C. Aussibal, T. Schumm, C. Figl, D. Mailly, I. Bouchoule, C. I. Westbrook, and A. Aspect, “Role of wire imperfections in micromagnetic traps for atoms,” Phys. Rev. A 70, 043629 (2004).

[Crossref]
[PubMed]

B. T. Seaman, M. Krämer, D. Z. Anderson, and M. J. Holland, “Atomtronics: Ultracold-atom analogs of electronic devices,” Phys. Rev. A 75, 023615 (2007).

[Crossref]
[PubMed]

J. Sebby-Strabley, R. T. R. Newell, J. O. Day, E. Brekke, and T. G. Walker, “High-density mesoscopic atom clouds in a holographic atom trap,” Phys. Rev. A 71, 021401 (2005).

[Crossref]
[PubMed]

P. Senthilkumaran, F. Wyrowski, and H. Schimmel, “Vortex stagnation problem in iterative Fourier-transform algorithms,” Opt. Lasers Eng. 43, 43–56 (2005).

[Crossref]
[PubMed]

P. Senthilkumaran and F. Wyrowski, “Phase synthesis in wave-optical engineering: mapping- and diffuser-type approaches,” J. Mod. Opt. 49, 1831–1850 (2002).

[Crossref]
[PubMed]

V. V. Kotlyar, P. G. Seraphimovich, and V. A. Soifer, “An iterative algorithm for designing diffractive optical elements with regularization,” Opt. Laser Eng. 29, 261–268 (1998).

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We assume in this paper that only the center of a Gaussian beam interacts with the CGH, making the effect of intrinsic phase curvature negligible. Any effect of the intrisic phase curvature can be removed in the final kinoform using a compensating phase profile.

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