Fully and Partly Divergence and Rotation Free Interpolation of Magnetic Fields

DOI: 10.4236/jemaa.2013.57044   PDF   HTML     2,923 Downloads   4,210 Views   Citations

Abstract

A new interpolation method for rotation and divergence free fields is presented. It is based on a suitable choice of a tricubic interpolation scheme and reaches an accuracy of third order in grid size (Δx). With the interpolation method it is possible to increase the accuracy with a factor of grid size/distance with respect to the trilinear interpolation method using exactly the same data points. Simulations for several distances of dipoles (r) to the interpolation area show that the maximum relative deviation is approximately 3(Δx/r)3 ppm.

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V. Haan, "Fully and Partly Divergence and Rotation Free Interpolation of Magnetic Fields," Journal of Electromagnetic Analysis and Applications, Vol. 5 No. 7, 2013, pp. 281-287. doi: 10.4236/jemaa.2013.57044.

Conflicts of Interest

The authors declare no conflicts of interest.

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