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. Author manuscript; available in PMC: 2013 Mar 1.
Published in final edited form as: J Magn Magn Mater. 2011 Sep 19;324(5):742–754. doi: 10.1016/j.jmmm.2011.09.008

Figure 6.

Figure 6

Optimal 36 element 2D pull array. The black dot identifies the optimization point and the black arrow shows the direction of the pull force at that point. The color indicates the logarithm of the magnetic field strength at that location (for example, a light to medium orange contour of 10.2 corresponds to ||H|| = 1010.2 A/m). The dimensionless factor ‘c’ is the ratio of the pull force for this 36 element optimal Halbach array to the pull force from the benchmark uniform magnet of Figure 5. Each element has a height, width, and thickness of h = 3.33 cm, w = 3.33 cm, and t = 5 cm. The magnetizations of the array “fan in” as this formation focuses the magnetic field and its gradient to the optimization point to create a maximum force.