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. Author manuscript; available in PMC: 2020 Oct 27.
Published in final edited form as: Phys Rev Res. 2020 Jun 24;2(2):023394. doi: 10.1103/physrevresearch.2.023394

FIG. 1. Simulations of magnetic flux concentrators:

FIG. 1.

(a) Model geometry. Two identical solid cones, configured in a bowtie geometry, are placed in an external magnetic field, Bext. (b) Simulated x-z plane cut of the relative magnetic field amplitude, |B(r)|/|Bext|, for cones with relative permeability μr = 6500 and a tip gap of δ = 43 μm, upon application of Bext at θ = 0. Arrows indicate the direction and magnitude of B(r). The point at the geometric center is labeled r0. (c) Vector components of the relative magnetic field amplitude at r0 as a function of θ, for cones with μr = 6500 and δ = 43 μm. The relative axial magnetic field amplitude is fit to the function Bz(r0)/|Bext| = ϵ cos θ, where in this case ϵ = 280. (d) Enhancement factor as a function of δ for cones with μr = 6500. (e) Enhancement factor as a function of μr for δ = 43 μm.