Bounds on the complex permittivity of a two-component composite material
- 1 August 1981
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 52 (8) , 5286-5293
- https://doi.org/10.1063/1.329385
Abstract
A generalization of the bounds obtained by Wiener, Hashin and Shtrikman, and others is derived for complex permittivities. Provided the scale of inhomogeneities in the composite is sufficiently small compared with the wavelength of the applied radiation, the permittivity of the composite is found to lie within a simply constructed region of complex plane. The appropriate region depends on what is known about the composite material. We show that in many cases the region is the most restrictive which can be given, using limited information about the structure of the composite.This publication has 20 references indexed in Scilit:
- Bounds on the complex dielectric constant of a composite materialApplied Physics Letters, 1980
- Transport properties of regular arrays of cylindersProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1979
- The dielectric constant of a simple cubic array of identical spheresJournal of Physics C: Solid State Physics, 1979
- The conductivity of lattices of spheres - II. The body centred and face centred cubic latticesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- The dielectric constant of a composite material—A problem in classical physicsPhysics Reports, 1978
- The conductivity of lattices of spheres I. The simple cubic latticeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- The permittivity of cubic arrays of spheresAIP Conference Proceedings, 1978
- Electrical conductivity in inhomogeneous mediaAIP Conference Proceedings, 1978
- Bounds for effective permittivities of lossy dielectric compositesJournal of Applied Physics, 1976
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase MaterialsJournal of Applied Physics, 1962