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Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance

We study the application of Optimal Control Theory to Ion Cyclotron Resonance. We test the validity and the efficiency of this approach for the robust excitation of an ensemble of ions with a wide range of cyclotron frequencies. Optimal analytical solutions are derived in the case without any pulse...

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Autores principales: Martikyan, Vardan, Beluffi, Camille, Glaser, Steffen J., Delsuc, Marc-André, Sugny, Dominique
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8151339/
https://www.ncbi.nlm.nih.gov/pubmed/34065881
http://dx.doi.org/10.3390/molecules26102860
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author Martikyan, Vardan
Beluffi, Camille
Glaser, Steffen J.
Delsuc, Marc-André
Sugny, Dominique
author_facet Martikyan, Vardan
Beluffi, Camille
Glaser, Steffen J.
Delsuc, Marc-André
Sugny, Dominique
author_sort Martikyan, Vardan
collection PubMed
description We study the application of Optimal Control Theory to Ion Cyclotron Resonance. We test the validity and the efficiency of this approach for the robust excitation of an ensemble of ions with a wide range of cyclotron frequencies. Optimal analytical solutions are derived in the case without any pulse constraint. A gradient-based numerical optimization algorithm is proposed to take into account limitation in the control intensity. The efficiency of optimal pulses is investigated as a function of control time, maximum amplitude and range of excited frequencies. A comparison with adiabatic and SWIFT pulses is done. On the basis of recent results in Nuclear Magnetic Resonance, this study highlights the potential usefulness of optimal control in Ion Cyclotron Resonance.
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spelling pubmed-81513392021-05-27 Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance Martikyan, Vardan Beluffi, Camille Glaser, Steffen J. Delsuc, Marc-André Sugny, Dominique Molecules Article We study the application of Optimal Control Theory to Ion Cyclotron Resonance. We test the validity and the efficiency of this approach for the robust excitation of an ensemble of ions with a wide range of cyclotron frequencies. Optimal analytical solutions are derived in the case without any pulse constraint. A gradient-based numerical optimization algorithm is proposed to take into account limitation in the control intensity. The efficiency of optimal pulses is investigated as a function of control time, maximum amplitude and range of excited frequencies. A comparison with adiabatic and SWIFT pulses is done. On the basis of recent results in Nuclear Magnetic Resonance, this study highlights the potential usefulness of optimal control in Ion Cyclotron Resonance. MDPI 2021-05-12 /pmc/articles/PMC8151339/ /pubmed/34065881 http://dx.doi.org/10.3390/molecules26102860 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Martikyan, Vardan
Beluffi, Camille
Glaser, Steffen J.
Delsuc, Marc-André
Sugny, Dominique
Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance
title Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance
title_full Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance
title_fullStr Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance
title_full_unstemmed Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance
title_short Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance
title_sort application of optimal control theory to fourier transform ion cyclotron resonance
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8151339/
https://www.ncbi.nlm.nih.gov/pubmed/34065881
http://dx.doi.org/10.3390/molecules26102860
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