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 (per...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2012-04, Vol.54 (2), p.280-289
Main Authors: Nisanci, M. H., de Paulis, F., Koledintseva, M. Y., Drewniak, J. L., Orlandi, A.
Format: Article
Language:English
Subjects:
Analytical models
Applied classical electromagnetism
Applied sciences
Approximation
Composite material
Computational modeling
Computer simulation
cylindrical inclusions
Debye model
Dielectrics
Electrical engineering. Electrical power engineering
Electromagnetic compatibility
Electromagnetic wave propagation, radiowave propagation
Electromagnetics
Electromagnetism
electron and ion optics
Equivalence
Exact sciences and technology
frequency-dependent material
Fundamental areas of phenomenology (including applications)
Inclusions
Materials
Mathematical models
Mixing rules
Numerical models
Permittivity
Physics
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Summary: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.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2011.2162845