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Mode-Matching Technique Applied to Three-Dimensional Magnetic Field Modeling

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4 Author(s)
Smeets, J.P.C. ; Eindhoven Univ. of Technol., Eindhoven, Netherlands ; Overboom, T.T. ; Jansen, J.W. ; Lomonova, E.A.

A semianalytical model is derived for the description of the three-dimensional magnetic fields, generated by an array of air-cored rectangular coils above a ferromagnetic plate with cavities, or bounded slots, in the xy-plane. The magnetic fields are described with a double Fourier series and are obtained by solving the Maxwell equations using a combination of the magnetic vector and scalar potentials. Mode-matching of the double Fourier series is applied to obtain the description of the magnetic fields inside the cavities. Therefore, the mode-matching technique is extended for two dimensions. The semianalytical model is compared with three-dimensional finite element analysis and a good agreement has been found.

Published in:

Magnetics, IEEE Transactions on  (Volume:48 ,  Issue: 11 )

Date of Publication:

Nov. 2012

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