TY - JOUR
T1 - Application of Bruggeman and Maxwell Garnett homogenization formalisms to random composite materials containing dimers
AU - MacKay, Tom G.
AU - Lakhtakia, Akhlesh
N1 - Publisher Copyright:
© 2015 Taylor and Francis.
PY - 2015/7/3
Y1 - 2015/7/3
N2 - The homogenization of a composite material comprising three isotropic dielectric materials was investigated. The component materials were randomly distributed as spherical particles, with the particles of two of the component materials being coupled to form dimers. The Bruggeman and Maxwell Garnett formalisms were developed to estimate the permittivity dyadic of the homogenized composite material (HCM), under the quasi-electrostatic approximation. Both randomly oriented and identically oriented dimers were accommodated; in the former case the HCM is isotropic, whereas in the latter case the HCM is uniaxial. Representative numerical results for composite materials containing dielectric-dielectric dimers demonstrate close agreement between the estimates delivered by the Bruggeman and Maxwell Garnett formalisms. For composite materials containing metal-dielectric dimers and metal-metal dimers with moderate degrees of dissipation, the estimates of the two formalisms are in broad agreement, provided that the dimer volume fractions are relatively low. In general, the effects of intradimer coupling on the estimates of the HCMs permittivity are relatively modest but not insignificant, these effects being pronounced by anisotropy when all dimers are identically oriented.
AB - The homogenization of a composite material comprising three isotropic dielectric materials was investigated. The component materials were randomly distributed as spherical particles, with the particles of two of the component materials being coupled to form dimers. The Bruggeman and Maxwell Garnett formalisms were developed to estimate the permittivity dyadic of the homogenized composite material (HCM), under the quasi-electrostatic approximation. Both randomly oriented and identically oriented dimers were accommodated; in the former case the HCM is isotropic, whereas in the latter case the HCM is uniaxial. Representative numerical results for composite materials containing dielectric-dielectric dimers demonstrate close agreement between the estimates delivered by the Bruggeman and Maxwell Garnett formalisms. For composite materials containing metal-dielectric dimers and metal-metal dimers with moderate degrees of dissipation, the estimates of the two formalisms are in broad agreement, provided that the dimer volume fractions are relatively low. In general, the effects of intradimer coupling on the estimates of the HCMs permittivity are relatively modest but not insignificant, these effects being pronounced by anisotropy when all dimers are identically oriented.
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U2 - 10.1080/17455030.2015.1054001
DO - 10.1080/17455030.2015.1054001
M3 - Article
AN - SCOPUS:84954027148
VL - 25
SP - 429
EP - 454
JO - Waves in Random and Complex Media
JF - Waves in Random and Complex Media
SN - 1745-5030
IS - 3
ER -