Memory efficient method for electromagnetic multi-region models using scattering matrices

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This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix used during the computations is independent of the number of regions defined in the problem. As a result, the method is more memory efficient than classical methods used to solve the boundary conditions. Because electromagnetic sources can be located inside the regions of a configuration, the scattering matrix formulation is developed to incorporate these sources into the solving process. The method is applied to a 3D electromagnetic configuration for verification.
Original languageEnglish
Article number71
Number of pages8
JournalMathematical and Computational Applications
Issue number4
Publication statusPublished - 9 Nov 2018


  • Fourier analysis
  • analytical modeling
  • permanent magnet machines
  • scattering matrix


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