A limitation of the Bruggeman formalism for homogenization
arXiv:physics/0402018 · doi:10.1016/j.optcom.2004.02.007
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.
Cited by in corpus (16)
- Superlens imaging theory for anisotropic nanostructured metamaterials with broadband all-angle negative refraction
- On the Bergman-Milton bounds for the homogenization of dielectric composite materials
- Depolarization volume and correlation length in the homogenization of anisotropic dielectric composites
- Surface-plasmon-polariton wave propagation supported by anisotropic materials: multiple modes and mixed exponential and linear localization characteristics
- Disordered Optical Metasurfaces: Basics, Properties, and Applications
- On the application of homogenization formalisms to active dielectric composite materials
- On limitations of the Bruggeman formalism for inverse homogenization
- Asymmetric coupling and dispersion of surface-plasmon-polariton waves on a periodically patterned anisotropic metal film
- Simultaneous amplification and attenuation in isotropic chiral materials
- Effective dielectric response of dispersions of graded particles
- Gain and loss enhancement in active and passive particulate composite materials
- On columnar thin films as platforms for surface-plasmonic-polaritonic optical sensing: higher-order considerations
- Scattering loss in electro-optic particulate composite materials
- Application of Bruggeman and Maxwell Garnett homogenization formalisms to random composite materials containing dimers
- Negative phase velocity in isotropic dielectric-magnetic mediums via homogenization
- A homogenization theory for systems of penetrable dielectric particles