Mechanism of chirp excitation

In design of a chirp inversion pulse, we keep the sweep rate a≪ω12, where ω1 is the amplitude of the pulse. This is the adiabaticity condition for the inversion to work. We can convert a chirp inversion pulse to an excitation pulse by keeping the chirp rate high, with a>ω12. To be precise a=2.8ω1...

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Published in:Journal of Magnetic Resonance Open
Main Authors: Sreya Das, Justin Jacob, Navin Khaneja
Format: Article in Journal/Newspaper
Language:English
Published: Elsevier 2022
Subjects:
Online Access:https://doi.org/10.1016/j.jmro.2021.100026
https://doaj.org/article/b4f91dade15c4d1f97988ddd6a6527c0
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spelling ftdoajarticles:oai:doaj.org/article:b4f91dade15c4d1f97988ddd6a6527c0 2023-05-15T17:39:54+02:00 Mechanism of chirp excitation Sreya Das Justin Jacob Navin Khaneja 2022-06-01T00:00:00Z https://doi.org/10.1016/j.jmro.2021.100026 https://doaj.org/article/b4f91dade15c4d1f97988ddd6a6527c0 EN eng Elsevier http://www.sciencedirect.com/science/article/pii/S2666441021000170 https://doaj.org/toc/2666-4410 2666-4410 doi:10.1016/j.jmro.2021.100026 https://doaj.org/article/b4f91dade15c4d1f97988ddd6a6527c0 Journal of Magnetic Resonance Open, Vol 10, Iss , Pp 100026- (2022) Medical physics. Medical radiology. Nuclear medicine R895-920 Physics QC1-999 article 2022 ftdoajarticles https://doi.org/10.1016/j.jmro.2021.100026 2022-12-30T23:21:03Z In design of a chirp inversion pulse, we keep the sweep rate a≪ω12, where ω1 is the amplitude of the pulse. This is the adiabaticity condition for the inversion to work. We can convert a chirp inversion pulse to an excitation pulse by keeping the chirp rate high, with a>ω12. To be precise a=2.8ω12. The analysis of such a pulse breaks the evolution into three phases. The first and third phase are adiabatic phases while the second phase is non-adiabatic. Starting from north pole such a pulse brings the magnetization to equator, however there is a nonuniform phase which depends on the resonance offsets. We show how by following this pulse with a chirp inversion pulse at twice the sweep rate of excitation pulse, we can refocus this uniform phase. We find there is still some phase dispersion. This can be further eliminated by bringing in a second inversion pulse. The combination of these three chirp pulses allows us to excite arbitrary large bandwidth without increasing the peak amplitude of the pulse. Refocusing properties of pair of chirp has been studied before but our description is very different. Article in Journal/Newspaper North Pole Directory of Open Access Journals: DOAJ Articles North Pole Journal of Magnetic Resonance Open 10-11 100026
institution Open Polar
collection Directory of Open Access Journals: DOAJ Articles
op_collection_id ftdoajarticles
language English
topic Medical physics. Medical radiology. Nuclear medicine
R895-920
Physics
QC1-999
spellingShingle Medical physics. Medical radiology. Nuclear medicine
R895-920
Physics
QC1-999
Sreya Das
Justin Jacob
Navin Khaneja
Mechanism of chirp excitation
topic_facet Medical physics. Medical radiology. Nuclear medicine
R895-920
Physics
QC1-999
description In design of a chirp inversion pulse, we keep the sweep rate a≪ω12, where ω1 is the amplitude of the pulse. This is the adiabaticity condition for the inversion to work. We can convert a chirp inversion pulse to an excitation pulse by keeping the chirp rate high, with a>ω12. To be precise a=2.8ω12. The analysis of such a pulse breaks the evolution into three phases. The first and third phase are adiabatic phases while the second phase is non-adiabatic. Starting from north pole such a pulse brings the magnetization to equator, however there is a nonuniform phase which depends on the resonance offsets. We show how by following this pulse with a chirp inversion pulse at twice the sweep rate of excitation pulse, we can refocus this uniform phase. We find there is still some phase dispersion. This can be further eliminated by bringing in a second inversion pulse. The combination of these three chirp pulses allows us to excite arbitrary large bandwidth without increasing the peak amplitude of the pulse. Refocusing properties of pair of chirp has been studied before but our description is very different.
format Article in Journal/Newspaper
author Sreya Das
Justin Jacob
Navin Khaneja
author_facet Sreya Das
Justin Jacob
Navin Khaneja
author_sort Sreya Das
title Mechanism of chirp excitation
title_short Mechanism of chirp excitation
title_full Mechanism of chirp excitation
title_fullStr Mechanism of chirp excitation
title_full_unstemmed Mechanism of chirp excitation
title_sort mechanism of chirp excitation
publisher Elsevier
publishDate 2022
url https://doi.org/10.1016/j.jmro.2021.100026
https://doaj.org/article/b4f91dade15c4d1f97988ddd6a6527c0
geographic North Pole
geographic_facet North Pole
genre North Pole
genre_facet North Pole
op_source Journal of Magnetic Resonance Open, Vol 10, Iss , Pp 100026- (2022)
op_relation http://www.sciencedirect.com/science/article/pii/S2666441021000170
https://doaj.org/toc/2666-4410
2666-4410
doi:10.1016/j.jmro.2021.100026
https://doaj.org/article/b4f91dade15c4d1f97988ddd6a6527c0
op_doi https://doi.org/10.1016/j.jmro.2021.100026
container_title Journal of Magnetic Resonance Open
container_volume 10-11
container_start_page 100026
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