Simulation and design of shaped pulses beyond the piecewise-constant approximation
Simulation and design of shaped pulses beyond the piecewise-constant approximation
Response functions of resonant circuits create ringing artefacts if their input changes rapidly. When physical limits of electromagnetic spectroscopies are explored, this creates two types of problems. Firstly, simulation: the system must be propagated accurately through every response transient, this may be computationally expensive. Secondly, optimal control: circuit response must be taken into account; it may be advantageous to design pulses that are resilient to such distortions. At the root of both problems is the popular piecewise-constant approximation for control sequences in the rotating frame; in magnetic resonance it has persisted since the earliest days and has become entrenched in the commercially available hardware. In this paper, we report an implementation and benchmarks of recent Lie-group methods that can efficiently simulate and optimise smooth control sequences.
Lie group methods, Magnetic resonance, Optimal control, Spin dynamics, Spinach
Rasulov, Uluk
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Acharya, Anupama
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Carravetta, Marina
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Mathies, Guinevere
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Kuprov, Ilya
bb07f28a-5038-4524-8146-e3fc8344c065
August 2023
Rasulov, Uluk
c31a7c8c-3838-4357-833a-1aae8e119171
Acharya, Anupama
63066c20-5920-4481-87f5-e5abaa419ca0
Carravetta, Marina
1b12fa96-4a6a-4689-ab3b-ccc68f1d7691
Mathies, Guinevere
29dc648d-3219-40e7-a276-f33720082213
Kuprov, Ilya
bb07f28a-5038-4524-8146-e3fc8344c065
Rasulov, Uluk, Acharya, Anupama, Carravetta, Marina, Mathies, Guinevere and Kuprov, Ilya
(2023)
Simulation and design of shaped pulses beyond the piecewise-constant approximation.
Journal of Magnetic Resonance, 353, [107478].
(doi:10.1016/j.jmr.2023.107478).
Abstract
Response functions of resonant circuits create ringing artefacts if their input changes rapidly. When physical limits of electromagnetic spectroscopies are explored, this creates two types of problems. Firstly, simulation: the system must be propagated accurately through every response transient, this may be computationally expensive. Secondly, optimal control: circuit response must be taken into account; it may be advantageous to design pulses that are resilient to such distortions. At the root of both problems is the popular piecewise-constant approximation for control sequences in the rotating frame; in magnetic resonance it has persisted since the earliest days and has become entrenched in the commercially available hardware. In this paper, we report an implementation and benchmarks of recent Lie-group methods that can efficiently simulate and optimise smooth control sequences.
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Accepted/In Press date: 9 May 2023
e-pub ahead of print date: 15 May 2023
Published date: August 2023
Additional Information:
Funding Information:
This work was supported by EPSRC (EP/W020343/1) and MathWorks, and used NVIDIA Tesla A100 GPUs through NVIDIA Academic Grants Programme. We are grateful to Sergio Blanes, Fernando Casas, and Arieh Iserles for useful discussions, and to Jos Martin, Raymond Norris, and Alison Eele at MathWorks for expert technical support with Parallel Matlab. The authors acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. GM is supported by the Emmy Noether programme of the Deutsche Forschungsgemeinschaft (project number 321027114).
Funding Information:
This work was supported by EPSRC (EP/W020343/1) and MathWorks, and used NVIDIA Tesla A100 GPUs through NVIDIA Academic Grants Programme. We are grateful to Sergio Blanes, Fernando Casas, and Arieh Iserles for useful discussions, and to Jos Martin, Raymond Norris, and Alison Eele at MathWorks for expert technical support with Parallel Matlab. The authors acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. GM is supported by the Emmy Noether programme of the Deutsche Forschungsgemeinschaft (project number 321027114).
Publisher Copyright:
© 2023 The Author(s)
Keywords:
Lie group methods, Magnetic resonance, Optimal control, Spin dynamics, Spinach
Identifiers
Local EPrints ID: 477822
URI: http://eprints.soton.ac.uk/id/eprint/477822
ISSN: 1090-7807
PURE UUID: 04e4b949-2bbf-4e20-bbd9-3e4a61bffcbc
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Date deposited: 15 Jun 2023 16:45
Last modified: 17 Mar 2024 03:28
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Contributors
Author:
Uluk Rasulov
Author:
Anupama Acharya
Author:
Guinevere Mathies
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