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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).

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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]
[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]
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[Crossref]
[PubMed]

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[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]
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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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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]

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[Crossref]
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[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]
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[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]

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[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]
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[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]

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[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]

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[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]

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[Crossref]
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[Crossref]

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[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]

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[PubMed]

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[PubMed]

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We introduce several quantities in this manuscript which are functions of the input and output plane coordinates. For notational simplicty, we indicate this functional dependence only for the first use and when quantitites are explicitly written as functions of the coordinates.

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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