A Mixing Rule for Predicting Frequency Dependence of Material Parameters in Magnetic Composites
Abstract
A number of mixing rules are proposed in the literature to predict the dependence of effective material parameters (permittivity and permeability) of composites on frequency and concentration. However, the existing mixing rules for frequency dependence of permeability in magnetic composites typically do not provide satisfactory agreement with measured data. Herein, a simple mixing rule is proposed. Its derivation is based on the Bergman-Milton spectral theory. Both the Bruggeman effective medium theory and the Maxwell Garnett approximation are included as particular cases of the proposed mixing rule. The derived mixing rule is shown to predict accurately the frequency dependence of permeability in magnetic composites, which contain nearly spherical inclusions.
Recommended Citation
K. Rozanov et al., "A Mixing Rule for Predicting Frequency Dependence of Material Parameters in Magnetic Composites," Journal of Magnetism and Magnetic Materials, vol. 324, no. 6, pp. 1063 - 1066, Elsevier, Mar 2012.
The definitive version is available at https://doi.org/10.1016/j.jmmm.2011.10.028
Department(s)
Electrical and Computer Engineering
Sponsor(s)
Russian Foundation for Basic Research
National Science Foundation (U.S.). Industry/University Cooperative Research Centers Program
Keywords and Phrases
Effective Medium Theories; Frequency Dependence; Magnetic Composites; Material Parameter; Maxwell-Garnett; Measured Data; Mixing Rule; Mixing Rules; Spectral Theory; Spherical Inclusion; Composite Materials; Forecasting; Mechanical Permeability; Mixing; Composite Material; Microwave Magnetic; Permeability
International Standard Serial Number (ISSN)
0304-8853
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2012 Elsevier, All rights reserved.
Publication Date
01 Mar 2012
Comments
K. Rozanov acknowledges financial support of the study from the RFBR (Grant nos. 09-08-00158, 12-02-91193,12-02-91667, and 12-08-00664). M. Koledintseva and J. Drewniak acknowledge the support in part by a National Science Foundation Grant no. 0855878 through the I/UCRC program.