Spin dynamics during chirped pulses: applications to homonuclear decoupling and broadband excitation
Swept-frequency pulses have found applications in a wide range of areas including spectroscopic techniques where efficient control of spins is required. For many of these applications, a good understanding of the evolution of spin systems during these pulses plays a vital role, not only in describin...
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| Format: | Journal article |
| Language: | English |
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Elsevier
2020
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| _version_ | 1826272562754093056 |
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| author | Foroozandeh, M |
| author_facet | Foroozandeh, M |
| author_sort | Foroozandeh, M |
| collection | OXFORD |
| description | Swept-frequency pulses have found applications in a wide range of areas including spectroscopic techniques where efficient control of spins is required. For many of these applications, a good understanding of the evolution of spin systems during these pulses plays a vital role, not only in describing the mechanism of techniques, but also in enabling new methodologies. In magnetic resonance spectroscopy, broadband inversion, refocusing, and excitation using these pulses are among the most used applications in NMR, ESR, MRI, and in vivo MRS. In the present survey, a general expression for chirped pulses will be introduced, and some numerical approaches to calculate the spin dynamics during chirped pulses via solutions of the well-known Liouville-von Neumann equation and the lesser-explored Wei-Norman Lie algebra along with comprehensive examples are presented. In both cases, spin state trajectories are calculated using the solution of differential equations. Additionally, applications of the proposed methods to study the spin dynamics during the PSYCHE pulse element for broadband homonuclear decoupling and the CHORUS sequence for broadband excitation will be presented. |
| first_indexed | 2024-03-06T22:14:31Z |
| format | Journal article |
| id | oxford-uuid:52f1ed9a-00ba-4051-9070-fab059c72cc1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:14:31Z |
| publishDate | 2020 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:52f1ed9a-00ba-4051-9070-fab059c72cc12022-03-26T16:28:34ZSpin dynamics during chirped pulses: applications to homonuclear decoupling and broadband excitationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:52f1ed9a-00ba-4051-9070-fab059c72cc1EnglishSymplectic ElementsElsevier2020Foroozandeh, MSwept-frequency pulses have found applications in a wide range of areas including spectroscopic techniques where efficient control of spins is required. For many of these applications, a good understanding of the evolution of spin systems during these pulses plays a vital role, not only in describing the mechanism of techniques, but also in enabling new methodologies. In magnetic resonance spectroscopy, broadband inversion, refocusing, and excitation using these pulses are among the most used applications in NMR, ESR, MRI, and in vivo MRS. In the present survey, a general expression for chirped pulses will be introduced, and some numerical approaches to calculate the spin dynamics during chirped pulses via solutions of the well-known Liouville-von Neumann equation and the lesser-explored Wei-Norman Lie algebra along with comprehensive examples are presented. In both cases, spin state trajectories are calculated using the solution of differential equations. Additionally, applications of the proposed methods to study the spin dynamics during the PSYCHE pulse element for broadband homonuclear decoupling and the CHORUS sequence for broadband excitation will be presented. |
| spellingShingle | Foroozandeh, M Spin dynamics during chirped pulses: applications to homonuclear decoupling and broadband excitation |
| title | Spin dynamics during chirped pulses: applications to homonuclear decoupling and broadband excitation |
| title_full | Spin dynamics during chirped pulses: applications to homonuclear decoupling and broadband excitation |
| title_fullStr | Spin dynamics during chirped pulses: applications to homonuclear decoupling and broadband excitation |
| title_full_unstemmed | Spin dynamics during chirped pulses: applications to homonuclear decoupling and broadband excitation |
| title_short | Spin dynamics during chirped pulses: applications to homonuclear decoupling and broadband excitation |
| title_sort | spin dynamics during chirped pulses applications to homonuclear decoupling and broadband excitation |
| work_keys_str_mv | AT foroozandehm spindynamicsduringchirpedpulsesapplicationstohomonucleardecouplingandbroadbandexcitation |