Modeling of Field Distribution and Energy Storage in Diphasic Dielectrics


Modeling of electrostatic field distribution and energy storage in diphasic dielectrics containing high-permittivity BaTiO3 in a glass host has been carried out using analytical modeling based on the Maxwell Garnett (MG) mixing rule, and numerical simulations accomplished using boundary element method (BEM) method software. The field distribution was studied as a function of the dielectric contrasts and volume fractions of the phases. For the geometry with a high-permittivity sphere enclosed in a low-permittivity glass cube it was found that a dielectric contrast of 75 and volume fraction of 46.8% led to higher energy storage densities than other geometries. For composites with lower volume fractions of high-permittivity inclusions, field enhancement factors of 2.6 were observed, whereas for higher volume fraction composites, field enhancements of 10 were noted. Higher field enhancement factors are expected to lead to dielectric breakdown at lower applied fields, limiting energy density. The upper limit of applicability of the MG formulation in terms of the inclusion volume fraction was also established and is a function of dielectric contrast. The host material permittivity causes a substantial variation in the applicability limit of the MG mixing rule, while the permittivity of inclusion phase does not affect the limit.

Meeting Name

2006 IEEE Symposium on the Applications of Ferroelectrics (2006: Jul.-Aug. 3, Sunset Beach, NC)


Electrical and Computer Engineering

Second Department

Materials Science and Engineering


United States. Office of Naval Research

Keywords and Phrases

Dielectric Composites; Electric Field Distribution; Energy Storage

Document Type

Article - Conference proceedings

Document Version


File Type





© 2006 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Aug 2006