Analysis of effective permeability behaviors of magnetic hollow fibers filled in composite

Abstract

In order to predict the permeability behaviors of magnetic hollow fibers and their composites in the high frequency region, we proposed a simple hollow approximation method for hollow shaped magnetic particles using the modified demagnetizing factors of Sato's and Aharoni's cylindrical approximation methods. The obtained demagnetizing factors of the hollow magnetic particle by the proposed simple hollow approximation were not distinguished from those of the Beleggia's complicated analytical results. The effective permeability of the magnetic hollow fiber filled in composite was evaluated using the effective medium theory and self-consistent iteration method using the simple hollow approximation. As the hollow ratio increased, the resonance frequency of the permeability shifted to a higher frequency region for the hollow fiber composite as well as for the single hollow fiber. The results of the calculated permeability using the proposed simple hollow approximation were in good agreement with Beleggia's complicated analytical results. (C) 2012 American Institute of Physics. [doi:10.1063/1.3679579]