Accession Number:

AD0621265

Title:

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

Descriptive Note:

Corporate Author:

PENNSYLVANIA UNIV PHILADELPHIA TOWNE SCHOOL OF CIVIL AND MECHANICAL ENGINEERING

Personal Author(s):

Report Date:

1964-09-28

Pagination or Media Count:

12.0

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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE