2008
DOI: 10.1364/oe.16.002176
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A high-accuracy algorithm for designing arbitrary holographic atom traps

Abstract: Abstract:We report the realization of a new iterative Fourier-transform algorithm for creating holograms that can diffract light into an arbitrary two-dimensional intensity profile. We show that the predicted intensity distributions are smooth with a fractional error from the target distribution at the percent level. We demonstrate that this new algorithm outperforms the most frequently used alternatives typically by one and two orders of magnitude in accuracy and roughness, respectively. The techniques descri… Show more

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Cited by 162 publications
(136 citation statements)
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References 38 publications
(19 reference statements)
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“…These methods can, however, suffer from laser speckle (optical vortices) resulting from both digitization errors and also defects in the phase pattern from algorithmic optimization of the SLM pattern. As cold atoms are sensitive to defects in the trapping potentials at the ∼1% level, optical speckle has limited the application of phase-based Fourier plane SLMs in quantum gases [143]. Recent progress on optimizing these patterns has, however, been promising, and it is expected that successful implementation of arbitrarily configured trapped atoms using Fourier plane methods will be demonstrated soon.…”
Section: Statusmentioning
confidence: 99%
“…These methods can, however, suffer from laser speckle (optical vortices) resulting from both digitization errors and also defects in the phase pattern from algorithmic optimization of the SLM pattern. As cold atoms are sensitive to defects in the trapping potentials at the ∼1% level, optical speckle has limited the application of phase-based Fourier plane SLMs in quantum gases [143]. Recent progress on optimizing these patterns has, however, been promising, and it is expected that successful implementation of arbitrarily configured trapped atoms using Fourier plane methods will be demonstrated soon.…”
Section: Statusmentioning
confidence: 99%
“…Holographic optical tweezers are usually realized by phase-only LC-SLMs, holograms for which are generated using an iterative phase retrieval algorithm, e.g. Gerchberg-Saxton algorithm (GS) [126], mixed-region amplitude freedom algorithm (MRAF) [127], offset MRAF (OMRAF) [128] and conjugate gradient minimization [129]. Gerchberg-Saxton algorithm, proposed in 1971, is shown schematically in Fig.…”
Section: Advances In Software and Algorithmsmentioning
confidence: 99%
“…A more detailed review dedicated to aforementioned algorithms is provided by Stuart et al [130]. For even more details on the algorithms for hologram generation it is advised to refer to original papers [126][127][128][129]131].…”
Section: Advances In Software and Algorithmsmentioning
confidence: 99%
“…One can then compute phase profiles that shape the light in a refractive [27] or diffractive manner [28]. The best diffractive methods, variants of the GS holographic method, are lossy [15,29]. For simple shapes, these losses are comparable to the method described below [18], which is computationally simpler.…”
Section: Polarization-subtractive Slm Transverse Laser Shapingmentioning
confidence: 99%
“…In [7] and [12], a spatial light modulator (SLM) was used with a modified Gerchberg-Saxton (GS) iterative Fourier transform method, e.g. [13][14][15], to make arbitrary beam shapes from a cold atom gas. However, in these cases, the beam profile is modulated by the density of the gas cloud, which alters the beam shape.…”
Section: Introductionmentioning
confidence: 99%