On the application of homogenization formalisms to active dielectric composite materials

Abstract

The Maxwell Garnett and Bruggeman formalisms were applied to estimate the effective permittivity dyadic of active dielectric composite materials. The active nature of the homogenized composite materials (HCMs) arises from one of the component materials which takes the form of InAs/GaAs quantum dots. Provided that the real parts of the permittivities of the component materials have the same sign, the Maxwell Garnett and Bruggeman formalisms give physically plausible estimates of the HCM permittivity dyadic that are in close agreement. However, if the real parts of the permittivities of the component materials have different signs then there are substantial differences between the Bruggeman and Maxwell Garnett estimates. Furthermore, these differences becomes enormous--with the Bruggeman estimate being physically implausible--as the imaginary parts of the permittivities of the component materials tend to zero.

References in corpus (2)

• A limitation of the Bruggeman formalism for homogenization
• On the Bergman-Milton bounds for the homogenization of dielectric composite materials

Cited by in corpus (5)

• On limitations of the Bruggeman formalism for inverse homogenization
• Simultaneous amplification and attenuation in isotropic chiral materials
• Switching a plasma-like metamaterial via embedded resonant atoms exhibiting electromagnetically induced transparency
• Exhibition of circular Bragg phenomenon by hyperbolic, dielectric, structurally chiral materials
• Application of Bruggeman and Maxwell Garnett homogenization formalisms to random composite materials containing dimers