3D Magnetization Problems in Superconductivity: Solution by the FFT-based Method

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1 Scopus citations


The fast Fourier transform (FFT) based numerical method for thin film magnetization problems in type-II superconductivity has been proposed by Vestgården and Johansen [Supercond. Sci. Technol. Vol. 25, 2012, 104001]. Our work significantly improves the efficiency of their method and extends it to 3D magnetization problems for bulk superconductors and to stacks of flat thin superconducting films of arbitrary shape, the two configurations of interest for a variety of practical applications. The method is efficient, allows for a highly nonlinear current–voltage relation characterising the superconducting material, and is much easier to implement than the recently proposed approaches based upon the finite element methods. We present solutions to two realistic bulk problems, where superconductors are employed for magnetic shielding and as a magnetic field concentrator (a lens). A rescaled solution to a few-film-stack problem was used to obtain an accurate approximation to the anisotropic homogenization limit of magnetization of a densely packed stack of many films.

Original languageEnglish
Pages (from-to)212-219
Number of pages8
JournalWSEAS Transactions on Circuits and Systems
StatePublished - 1 Jan 2019


  • 3D magnetization problems
  • Key-Words: - Type-II superconductivity
  • fast Fourier transform
  • numerical solution

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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