Preprints
https://doi.org/10.5194/mr-2021-34
https://doi.org/10.5194/mr-2021-34

  26 Apr 2021

26 Apr 2021

Review status: this preprint is currently under review for the journal MR.

Magnetostatic reciprocity for MR magnet design

Pedro Freire Silva, Mazin Jouda, and Jan G. Korvink Pedro Freire Silva et al.
  • Karlsruhe Institute of Technology (KIT), Institute of Microstructure Technology, Karlsruhe 76131, Germany

Abstract. Electromagnetic reciprocity has long been a staple in MR radio-frequency development, offering geometrical insights and a figure of merit for various resonator designs. In a similar manner, we use magnetostatic reciprocity to compute manufacturable solutions of complex magnet geometries, by establishing a quantitative metric for the placement and subsequent orientation of discrete pieces of permanent magnetic material. Based on magnetostatic theory and nonlinear FEM simulations, it is shown how assembled permanent magnet setups perform in the embodiment of a variety of designs, and how magnetostatic reciprocity is leveraged in the presence of difficulties associated with self-interactions, to fulfil various design objectives, including self-assembled micro magnets, adjustable magnetic arrays, and an unbounded magnetic field intensity in a small volume, despite realistic saturation field strengths.

Pedro Freire Silva et al.

Status: open (until 24 May 2021)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on mr-2021-34', Anonymous Referee #1, 29 Apr 2021 reply
  • CC1: 'Comment on mr-2021-34', Tom Barbara, 30 Apr 2021 reply
  • CC2: 'Comment on mr-2021-34', Tom Barbara, 30 Apr 2021 reply

Pedro Freire Silva et al.

Pedro Freire Silva et al.

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Short summary
We use the theory of magnetostatic reciprocity to compute manufacturable solutions of complex magnet geometries, establishing a quantitative metric for the placement and subsequent orientation of discrete pieces of permanent magnetic material. This leads to self-assembled micro magnets, adjustable magnetic arrays, and an unbounded magnetic field intensity in a small volume, despite realistic modelling complex material behaviours.