Homogenization Formalisms for Nonlinear Particulate Composite Mediums
GLASGOW UNIV (UNITED KINGDOM) DEPT OF MATHEMATICS
Pagination or Media Count:
The Maxwell Garnett MG and the Bruggeman Br formalisms are extended to homogenize nonlinear, two-component, composite mediums. The chosen material topology is ellipsoidal and weak nonlinearity is assumed. The MG formalism is illustrated by a case in which both component materials are bianisotropic, but only the inclusion component is nonlinear. Both component materials are isotropic dielectric in the following case, but only one has an intensity-dependent permittivity scalar and the Br formalism is applied to show that the homogenized composite medium is anisotropic and has cubically nonlinear dielectric properties. Enhancement of nonlinearity emerges as a significant possibility.
- Laminates and Composite Materials
- Numerical Mathematics
- Electricity and Magnetism