USE OF THE VARIATIONAL APPROACH TO DETERMINE BOUNDS FOR THE EFFECTIVE PERMITTIVITY IN RANDOM MEDIA,

Abstract

Bounds are derived for the effective permittivity, e*, using two standard variational principles. The principles are expressed in terms of the electric field, E and the electric displacement, D, respectively. As trial functions perturbation expansions are used for E and D that have been modified by the inclusion of a set of multiplicative constants. The first-order perturbation effect is calculated explicitly and the bounds for e* are found in terms of expressions involving third-order correlation functions. In the limit of small perturbations the bounds coincide and yield the result obtained by previous investigators. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 28, 1964
Accession Number
AD0621265

Entities

People

  • M. Beran

Organizations

  • University of Pennsylvania

Tags

DTIC Thesaurus Topics

  • Displacement
  • Electric Fields
  • Inclusions
  • Mathematics
  • Perturbations
  • Standards
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics