Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance

Version 1 : Received: 6 April 2021 / Approved: 7 April 2021 / Online: 7 April 2021 (11:57:59 CEST)

How to cite: Martikyan, V.; Beluffi, C.; Glaser, S.J.; Delsuc, M.; Sugny, D. Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance. Preprints 2021, 2021040201 (doi: 10.20944/preprints202104.0201.v1). Martikyan, V.; Beluffi, C.; Glaser, S.J.; Delsuc, M.; Sugny, D. Application of Optimal Control Theory to Fourier Transform Ion Cyclotron Resonance. Preprints 2021, 2021040201 (doi: 10.20944/preprints202104.0201.v1).

Abstract

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.

Subject Areas

Optimal control; Robust protocol; Ion Cyclotron Resonance

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