High-fidelity phase and amplitude control of phase-only computer generated holograms using conjugate gradient minimisation

David Bowman; Tiffany L. Harte; Valentin Chardonnet; Caroline De Groot; Samuel J. Denny; Guillaume Le Goc; Matthew Anderson; Philip Ireland; Donatella Cassettari; Graham David Bruce

doi:10.1364/OE.25.011692

High-fidelity phase and amplitude control of phase-only computer generated holograms using conjugate gradient minimisation

David Bowman
, Tiffany L. Harte
, Valentin Chardonnet
, Caroline De Groot
, Samuel J. Denny
, Guillaume Le Goc
, Matthew Anderson
, Philip Ireland
, Donatella Cassettari
, Graham David Bruce

Research output: Contribution to journal › Article › peer-review

Abstract

We demonstrate simultaneous control of both the phase and amplitude of light using a conjugate gradient minimisation-based hologram calculation technique and a single phase-only spatial light modulator (SLM). A cost function, which incorporates the inner product of the light field with a chosen target field within a defined measure region, is efficiently minimised to create high fidelity patterns in the Fourier plane of the SLM. A fidelity of F = 0.999997 is achieved for a pattern resembling an LG⁰₁ mode with a calculated light-usage efficiency of 41.5%. Possible applications of our method in optical trapping and ultracold atoms are presented and we show uncorrected experimental realisation of our patterns with F = 0.97 and 7.8% light efficiency.

Original language	English
Pages (from-to)	11692-11700
Number of pages	9
Journal	Optics Express
Volume	25
Issue number	10
Early online date	10 May 2017
DOIs	https://doi.org/10.1364/OE.25.011692
Publication status	Published - 15 May 2017

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10.1364/OE.25.011692Licence: CC BY

Bowman-2017-High-fidelity-Optics-Express-CC
Published by The Optical Society under the terms of the Creative Commons Attribution 4.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Final published version, 1.91 MBLicence: CC BY

https://arxiv.org/abs/1701.08620

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2 Finished

CM DTC 2014 - 2022: EPSRC centre for doctoral training in condensed matter physics: Renewal of the CM-DTC
King, P. (PI)
EPSRC
1/08/14 → 31/01/24
Project: Standard
Adv atom traps for precise rotation sens: Leverhulme Award : Advanced Atom Traps
Cassettari, D. (PI)
Leverhulme Trust
1/10/13 → 31/12/16
Project: Standard

Donatella Cassettari
- dc43st-andrews.acuk
- School of Physics and Astronomy - Lecturer
- Condensed Matter Physics
Person: Academic

Data underpinning High-fidelity phase and amplitude control of phase-only computer generated holograms using conjugate gradient minimisation
Bowman, D. (Creator), Harte, T. L. (Creator), Chardonnet, V. (Creator), De Groot, C. (Creator), Denny, S. J. (Creator), Le Goc, G. (Creator), Anderson, M. (Creator), Ireland, P. (Creator), Cassettari, D. (Creator) & Bruce, G. D. (Creator), University of St Andrews, 15 May 2017
DOI: 10.17630/f30dd10e-9708-4cbf-8fcb-4b91869a1415, https://github.com/tiffanyharte/slm-cg
Dataset

File

1 Abstract
1 Poster

Potential landscaping for ultracold atoms using holographic optical traps
Bowman, D., Harte, T., Ireland, P., Cassettari, D. & Bruce, G. D., 28 Jul 2017, (Accepted/In press). 1 p.
Research output: Contribution to conference › Abstract

Open Access
File
Potential landscaping for ultracold atoms using holographic optical traps
Bowman, D., Harte, T., Ireland, P., Cassettari, D. & Bruce, G. D., 5 Sept 2017, (Unpublished). 1 p.
Research output: Contribution to conference › Poster

Portable and versatile cold atom experiments
Ireland, P. (Author), Cassettari, D. (Supervisor), 24 Jun 2019
Student thesis: Doctoral Thesis (PhD)
Ultracold atoms in flexible holographic traps
Bowman, D. (Author), Cassettari, D. (Supervisor), 27 Jun 2018
Student thesis: Doctoral Thesis (PhD)

Cite this

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title = "High-fidelity phase and amplitude control of phase-only computer generated holograms using conjugate gradient minimisation",

abstract = "We demonstrate simultaneous control of both the phase and amplitude of light using a conjugate gradient minimisation-based hologram calculation technique and a single phase-only spatial light modulator (SLM). A cost function, which incorporates the inner product of the light field with a chosen target field within a defined measure region, is efficiently minimised to create high fidelity patterns in the Fourier plane of the SLM. A fidelity of F = 0.999997 is achieved for a pattern resembling an LG01 mode with a calculated light-usage efficiency of 41.5\%. Possible applications of our method in optical trapping and ultracold atoms are presented and we show uncorrected experimental realisation of our patterns with F = 0.97 and 7.8\% light efficiency.",

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AU - Bowman, David

AU - Harte, Tiffany L.

AU - Chardonnet, Valentin

AU - De Groot, Caroline

AU - Denny, Samuel J.

AU - Le Goc, Guillaume

AU - Anderson, Matthew

AU - Ireland, Philip

AU - Cassettari, Donatella

AU - Bruce, Graham David

N1 - Funding: Leverhulme Trust (RPG-2013-074); EPSRC (EP/G03673X/1; EP/L015110/1).

PY - 2017/5/15

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N2 - We demonstrate simultaneous control of both the phase and amplitude of light using a conjugate gradient minimisation-based hologram calculation technique and a single phase-only spatial light modulator (SLM). A cost function, which incorporates the inner product of the light field with a chosen target field within a defined measure region, is efficiently minimised to create high fidelity patterns in the Fourier plane of the SLM. A fidelity of F = 0.999997 is achieved for a pattern resembling an LG01 mode with a calculated light-usage efficiency of 41.5%. Possible applications of our method in optical trapping and ultracold atoms are presented and we show uncorrected experimental realisation of our patterns with F = 0.97 and 7.8% light efficiency.

AB - We demonstrate simultaneous control of both the phase and amplitude of light using a conjugate gradient minimisation-based hologram calculation technique and a single phase-only spatial light modulator (SLM). A cost function, which incorporates the inner product of the light field with a chosen target field within a defined measure region, is efficiently minimised to create high fidelity patterns in the Fourier plane of the SLM. A fidelity of F = 0.999997 is achieved for a pattern resembling an LG01 mode with a calculated light-usage efficiency of 41.5%. Possible applications of our method in optical trapping and ultracold atoms are presented and we show uncorrected experimental realisation of our patterns with F = 0.97 and 7.8% light efficiency.

U2 - 10.1364/OE.25.011692

DO - 10.1364/OE.25.011692

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High-fidelity phase and amplitude control of phase-only computer generated holograms using conjugate gradient minimisation

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