A limitation of the Bruggeman formalism for homogenization

Details A limitation of the Bruggeman formalism for homogenization A limitation of the Bruggeman formalism for homogenization

2004-02-04

arxiv.org/abs/physics/0402018v1

Optics Communications 234, 35-42 (2004)

Physics

Optics

Scientific paper

10.1016/j.optcom.2004.02.007

The Bruggeman formalism provides an estimate of the effective permittivity of a particulate composite medium comprising two component mediums. The Bruggeman estimate is required to lie within the Wiener bounds and the Hashin-Shtrikman bounds. Considering the homogenization of weakly dissipative component mediums characterized by relative permittivities with real parts of opposite signs, we show that the Bruggeman estimate may not be not physically reasonable when the component mediums are weakly dissipative; furthermore, both the Wiener bounds and the Hashin-Shtrikman bounds exhibit strong resonances.

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