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Theory and development of biplanar active shim coils for a permanent NMR analyzer.


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.

SUBMITTER: Xia T 

PROVIDER: S-EPMC5524427 | biostudies-literature | 2017

REPOSITORIES: biostudies-literature

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Theory and development of biplanar active shim coils for a permanent NMR analyzer.

Xia Tian T   Miao Zhiying Z   Chen Shanshan S   Wang Hongzhi H   Yao Yefeng Y  

PloS one 20170724 7


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 c  ...[more]

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