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- Title
Theory and development of biplanar active shim coils for a permanent NMR analyzer.
- Authors
Xia, Tian; Miao, Zhiying; Chen, Shanshan; Wang, Hongzhi; Yao, Yefeng
- Abstract
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.
- Subjects
NUCLEAR magnetic resonance spectroscopy; ELECTROMAGNETIC induction; MAGNETIC fields; MATHEMATICAL functions; CONDENSED matter physics
- Publication
PLoS ONE, 2017, Vol 12, Issue 7, p1
- ISSN
1932-6203
- Publication type
Article
- DOI
10.1371/journal.pone.0181552