From Maxwell Garnett to Debye Model for Electromagnetic Simulation of Composite Dielectrics-Part II: Random Cylindrical Inclusions


A mixing rule in the theory of composites is intended to describe an inhomogeneous composite medium containing inclusions of one or several types in a host matrix as an equivalent homogeneous medium. The Maxwell Garnett mixing rule is widely used to describe effective electromagnetic properties (permittivity and permeability) of composites, in particular, biphasic materials, containing inclusions of canonical shapes (spherical, cylindrical, or ellipsoidal). This paper presents a procedure for deriving an equivalent Debye model that approximates the geometry-based Maxwell Garnett model for randomly distributed cylindrical inclusions. The derived Debye model makes the equivalent dielectric material suitable for any time-domain electromagnetic simulations.


Electrical and Computer Engineering

Research Center/Lab(s)

Electromagnetic Compatibility (EMC) Laboratory

Keywords and Phrases

Biphasic Materials; Canonical Shapes; Composite Medium; Cylindrical Inclusion; Debye Models; Electromagnetic Properties; Electromagnetic Simulation; Frequency-Dependent; Homogeneous Medium; Host Matrices; Maxwell-Garnett; Maxwell-Garnett Mixing; Maxwell-Garnett Models; Mixing Rules; Randomly Distributed; Time Domain; Composite Materials; Dielectric Materials; Maxwell Equations; Mixing, Phonons; Composite Material; Cylindrical Inclusions; Debye Model; Frequency-Dependent Material

International Standard Serial Number (ISSN)

0018-9375; 1558-187X

Document Type

Article - Journal

Document Version


File Type





© 2012 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Apr 2012