A limitation of the Bruggeman formalism for homogenization
Optics
2009-11-10 v1 Classical Physics
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0402018,
title = {A limitation of the Bruggeman formalism for homogenization},
author = {T. G. Mackay and A. Lakhtakia},
journal= {arXiv preprint arXiv:physics/0402018},
year = {2009}
}