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Magnetometric Demagnetization Factors for Hollow Cylinders

Journal of Magnetics, Volume 22, Number 4, 31 Dec 2017, Pages 550-556
Jae-Hyeon Parq * (Computational Science and Technology, Seoul National University)
Abstract
I estimated magnetometric demagnetization factors of hollow cylinders. Demagnetization factors of extreme hollow cylinders are obtained analytically, and axial demagnetization factors of finite hollow cylinders are calculated numerically to find that the approximation designed for the axial demagnetization factors [Nam et al., J. Appl. Phys. 111, 07E347 (2012)] is valid as long as the hollow ratio is not close to one, depending on susceptibility and the aspect ratio. I also discuss the transverse demagnetization factor and the sum rule of the demagnetization factors for a finite hollow cylinder. Dependence on susceptibility being related to the hollow ratio is a feature of magnetometric demagnetization factors of finite hollow cylinders and hollow spheres. A thin closed hollow shape might be the better candidate than open hollow shapes if one wants to maximize susceptibility dependence of the magnetometric demagnetization factor of magnetic material.
 
Keywords: demagnetizing field; demagnetization tensor; nanoparticle
DOI: https://doi.org/10.4283/JMAG.2017.22.4.550
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