### Abstract

When a magnet generating highly homogeneous magnetic field is designed, a shimming is required. The shimming is usually performed so that the magnetic field only in the axis direction is compensated by iron pieces and/or coils. The compensation is commonly achieved by eliminating the coefficients of the spherical harmonics expansion of the magnetic field generated by the main magnet. Some papers showed the coefficients of the spherical harmonics expansion in only the z-direction for passive shimming. However, recently some magnets generate a magnetic field tilted from the z-axis, such as a magic-angle-spinning nuclear magnetic resonance/MRI. It is, therefore, necessary to eliminate the coefficients of the spherical harmonics expansion in the x-and y-direction.

Original language | English |
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Article number | 6749021 |

Journal | IEEE Transactions on Magnetics |

Volume | 50 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 2014 |

Externally published | Yes |

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### Keywords

- Magnetic moment
- MRI
- nuclear magnetic resonance (NMR)
- passive shimming
- spherical harmonics expansion

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials

### Cite this

*IEEE Transactions on Magnetics*,

*50*(2), [6749021]. https://doi.org/10.1109/TMAG.2013.2276736