Conjugate gradient minimisation approach to generating holographic traps for ultracold atoms

Tiffany Harte, Graham D. Bruce, Jonathan Keeling, Donatella Cassettari

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Direct minimisation of a cost function can in principle provide a versatile and highly controllable route to computational hologram generation. Here we show that the careful design of cost functions, combined with numerically efficient conjugate gradient minimisation, establishes a practical method for the generation of holograms for a wide range of target light distributions. This results in a guided optimisation process, with a crucial advantage illustrated by the ability to circumvent optical vortex formation during hologram calculation. We demonstrate the implementation of the conjugate gradient method for both discrete and continuous intensity distributions and discuss its applicability to optical trapping of ultracold atoms.
Original languageEnglish
Pages (from-to)26548-26558
Number of pages11
JournalOptics Express
Issue number22
Publication statusPublished - 1 Nov 2014


  • holographic trap
  • ultra-cold atoms
  • holographic generation

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