Predicting of Wideband Electromagnetic Responses of Composites Containing Magnetic Inclusions


Engineering of absorbing bulk and sheet composite materials, including nanocomposites, for various EMI applications, requires adequate prediction of frequency and concentration behavior of these composites. This paper proposes two simple analytical formulations for effective permittivity and permeability of magneto-dielectric composites as functions of frequency and concentration. The first new proposed mixing rule is based on the Ghosh-Fuchs theory, which gives good agreement with the measured permittivity and permeability for composites containing magnetic alloy powders. This approach employs the Bergman-Milton concept of spectral function. Herein, the spectral function typical for the Bruggeman effective medium theory, also known as the Bruggeman symmetric rule (BSR), is chosen. This spectral function is composed using two fitting parameters: an averaged shape factor of inclusions, and the percolation threshold. These fitting parameters are found from the concentration dependence of permittivity, and then they are used to retrieve frequency dependence of permeability. The proposed mixing law is valid for nearly spherical inclusions in the composite, e.g., crumbs. Another analytical model proposed in this work can be applied to predict effective permeability of composites containing magnetic inclusions. It is based on the Bruggeman asymmetric rule (BAR), which has been modified in such a way that it takes into account shape factors of magnetic inclusions, in particular, randomly oriented platelets.

Meeting Name

IEEE International Symposium on Electromagnetic Compatibility (2010: Jul. 25-30, Fort Lauderdale, FL)


Electrical and Computer Engineering

Research Center/Lab(s)

Electromagnetic Compatibility (EMC) Laboratory

Keywords and Phrases

Analytical Formulation; Analytical Model; Concentration Dependence; Effective Medium Theories; Effective Permeability; Effective Permittivity; Electromagnetic Response; Fitting Parameters; Frequency Dependence; Fuchs Theory; Magnetic Alloy; Magnetic Inclusions; Magneto-Dielectric Composites; Mixing Rules; Percolation Thresholds; Prediction Of Frequency; Shape Factor; Spectral Function; Spherical Inclusion; Wide-Band; Electromagnetic Compatibility; Electromagnetism; Forecasting; Magnetic Materials; Mathematical Models; Nanocomposites; Permittivity; Solvents; Spectroscopy; Mechanical Permeability

International Standard Book Number (ISBN)

978-1424463053; 978-1424463084

International Standard Serial Number (ISSN)

2158-1118; 2158-110X

Document Type

Article - Conference proceedings

Document Version


File Type





© 2010 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jul 2010