TY - JOUR
T1 - Incremental and differential Maxwell Garnett formalisms for bi-anisotropic composites
AU - Michel, Bernhard
AU - Lakhtakia, Akhlesh
AU - Weiglhofer, Werner S.
AU - Mackay, Tom G.
PY - 2001/1
Y1 - 2001/1
N2 - We present, compare and contextualize two approaches to the homogenization of bi-anisotropic-in-bi-anisotropic particulate composite medias: (i) the incremental Maxwell Garnett (IMG) formalism, in which the composite medium is built incrementally by adding the inclusions in N discrete steps to the host medium; and (ii) the differential Maxwell Garnett (DMG) formalism, which is obtained from the IMG in the limit N→∞. Both formalisms are applicable to arbitrary inclusion concentration and are well-suited for computational purposes. Either of the two formalisms may be used as an alternative to the well-known Bruggeman formalism. Numerical results for the homogenization of a uniaxial dielectric composite medium and of a chiroferrite are presented.
AB - We present, compare and contextualize two approaches to the homogenization of bi-anisotropic-in-bi-anisotropic particulate composite medias: (i) the incremental Maxwell Garnett (IMG) formalism, in which the composite medium is built incrementally by adding the inclusions in N discrete steps to the host medium; and (ii) the differential Maxwell Garnett (DMG) formalism, which is obtained from the IMG in the limit N→∞. Both formalisms are applicable to arbitrary inclusion concentration and are well-suited for computational purposes. Either of the two formalisms may be used as an alternative to the well-known Bruggeman formalism. Numerical results for the homogenization of a uniaxial dielectric composite medium and of a chiroferrite are presented.
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U2 - 10.1016/S0266-3538(00)00149-4
DO - 10.1016/S0266-3538(00)00149-4
M3 - Article
AN - SCOPUS:0035154531
SN - 0266-3538
VL - 61
SP - 13
EP - 18
JO - Composites Science and Technology
JF - Composites Science and Technology
IS - 1
ER -