From Maxwell Garnett to Debye Model for Electromagnetic Simulation of Composite Dielectrics Part I: Random Spherical Inclusions

A semianalytical approach to obtain an equivalent Debye frequency dependence of effective permittivity for biphasic materials with random spherical inclusions from the well-known Maxwell Garnett (MG) mixing rule is proposed. Different combinations of frequency characteristics of mixture phases (host...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2011-11, Vol.53 (4), p.933-942
Main Authors: de Paulis, F., Nisanci, M., Koledintseva, M. Y., Drewniak, J. L., Orlandi, A.
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Applied sciences
Approximation
Composite material
Computational modeling
Debye model
Dielectrics
Electrical engineering. Electrical power engineering
Electromagnetic compatibility
Electromagnetic wave propagation, radiowave propagation
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
Phases
Physics
spherical inclusions
Studies
Time domain analysis
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Summary:A semianalytical approach to obtain an equivalent Debye frequency dependence of effective permittivity for biphasic materials with random spherical inclusions from the well-known Maxwell Garnett (MG) mixing rule is proposed. Different combinations of frequency characteristics of mixture phases (host and inclusions) are considered: when at least one of the phases is frequency independent; lossy (with dc conductivity); or with a known single-term Debye frequency dependence. The equivalent Debye models approximate very well the frequency characteristics obtained directly from MG mixing rule. In some cases, there is an exact match between the two models, and a good approximation is achieved in the other cases and is quantified by the feature selective validation technique. The parameters of the derived equivalent Debye model can be employed in full-wave time-domain numerical electromagnetic codes and tools. This will allow for efficient wideband modeling of complex electromagnetic structures containing composite materials with effective dielectric parameters obtained through MG mixing rule.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2011.2158217