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Optimized Algorithm for High Efficiency Atom Transport.

Zane Daniel Crawford

Published Apr 24, 2019• 0 citations

Abstract

Drawbacks • Not optimal • No constraint on the standard deviation of intensities • No phase restriction • Fourier transform can be accelerated from a 𝑂 𝑁 2 to 𝑂 𝑁 log 2 𝑁 with the fast Fourier transform • Branching decision making can increase computation time Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA0003525. Modified Gerchberg-Saxton AlgorithmTo overcome the drawbacks of classical GS algorithm, several different modifications were tested to determine optimal results.The following modifications were tested in the GS algorithm to test their effect on accuracy, distribution, and timing • Modified weighting: ሚ 𝐴 𝑛 𝐹 = 𝐼 𝑡 -1 -𝜏 𝐴 𝑛 𝐹 , 0 ≤ 𝜏 ≤ 1

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Drawbacks • Not optimal • No constraint on the standard deviation of intensities • No phase restriction • Fourier transform can be accelerated from a 𝑂 𝑁 2 to 𝑂 𝑁 log 2 𝑁 with the fast Fourier transform • Branching decision making can increase computation time Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA0003525. Modified Gerchberg-Saxton AlgorithmTo overcome the drawbacks of classical GS algorithm, several different modifications were tested to determine optimal results.The following modifications were tested in the GS algorithm to test their effect on accuracy, distribution, and timing • Modified weighting: ሚ 𝐴 𝑛 𝐹 = 𝐼 𝑡 -1 -𝜏 𝐴 𝑛 𝐹 , 0 ≤ 𝜏 ≤ 1

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