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Theory and development of biplanar active shim coils for a permanent NMR analyzer
The general expression for magnetic induction in the z axis direction is derived from magnetic scalar potential, and magnetic induction for biplanar shimming coils (BSCs) is also derived from magnetic vector potentials and Green functions, which simultaneously include Sin and Cos harmonic fields. Th...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5524427/ https://www.ncbi.nlm.nih.gov/pubmed/28742132 http://dx.doi.org/10.1371/journal.pone.0181552 |
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author | Xia, Tian Miao, Zhiying Chen, Shanshan Wang, Hongzhi Yao, Yefeng |
author_facet | Xia, Tian Miao, Zhiying Chen, Shanshan Wang, Hongzhi Yao, Yefeng |
author_sort | Xia, Tian |
collection | PubMed |
description | The general expression for magnetic induction in the z axis direction is derived from magnetic scalar potential, and magnetic induction for biplanar shimming coils (BSCs) is also derived from magnetic vector potentials and Green functions, which simultaneously include Sin and Cos harmonic fields. The relationship between these expressions is discussed, and we show they are partially consistent. Magnetic induction generated Sin and Cos stream functions, which are presented and discussed, and we conclude that the type of stream function determines the type of harmonic field, and that BSCs can not only generate specific harmonic fields directly using Cos stream function, but also generate the rest of the harmonic fields through some specific operations. The detailed design process is presented in the form of a diagram. Subsequently, nine BSCs were calculated using the proposed method and applied to a low field NMR relaxation analyzer. The magnetic field homogeneity after shimming increases significantly, which verifies its practical value. |
format | Online Article Text |
id | pubmed-5524427 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-55244272017-08-07 Theory and development of biplanar active shim coils for a permanent NMR analyzer Xia, Tian Miao, Zhiying Chen, Shanshan Wang, Hongzhi Yao, Yefeng PLoS One Research Article The general expression for magnetic induction in the z axis direction is derived from magnetic scalar potential, and magnetic induction for biplanar shimming coils (BSCs) is also derived from magnetic vector potentials and Green functions, which simultaneously include Sin and Cos harmonic fields. The relationship between these expressions is discussed, and we show they are partially consistent. Magnetic induction generated Sin and Cos stream functions, which are presented and discussed, and we conclude that the type of stream function determines the type of harmonic field, and that BSCs can not only generate specific harmonic fields directly using Cos stream function, but also generate the rest of the harmonic fields through some specific operations. The detailed design process is presented in the form of a diagram. Subsequently, nine BSCs were calculated using the proposed method and applied to a low field NMR relaxation analyzer. The magnetic field homogeneity after shimming increases significantly, which verifies its practical value. Public Library of Science 2017-07-24 /pmc/articles/PMC5524427/ /pubmed/28742132 http://dx.doi.org/10.1371/journal.pone.0181552 Text en © 2017 Xia et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Xia, Tian Miao, Zhiying Chen, Shanshan Wang, Hongzhi Yao, Yefeng Theory and development of biplanar active shim coils for a permanent NMR analyzer |
title | Theory and development of biplanar active shim coils for a permanent NMR analyzer |
title_full | Theory and development of biplanar active shim coils for a permanent NMR analyzer |
title_fullStr | Theory and development of biplanar active shim coils for a permanent NMR analyzer |
title_full_unstemmed | Theory and development of biplanar active shim coils for a permanent NMR analyzer |
title_short | Theory and development of biplanar active shim coils for a permanent NMR analyzer |
title_sort | theory and development of biplanar active shim coils for a permanent nmr analyzer |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5524427/ https://www.ncbi.nlm.nih.gov/pubmed/28742132 http://dx.doi.org/10.1371/journal.pone.0181552 |
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