Exactly solvable microscopic geometries and rigorous bounds for the complex dielectric constant of a two-component composite material

David J. Bergman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Exact bounds for the complex, bulk, effective dielectric constant εe of a two-component macroscopic composite that depend on the available information about the composite are presented and discussed. Some of these bounds are readily ascribable to special, exactly solvable, microscopic geometries. As a consequence, it is shown that there can exist composites where the real part of εe diverges as ω→0 while the dc conductivity σea.

Original languageEnglish
Pages (from-to)1285-1287
Number of pages3
JournalPhysical Review Letters
Volume44
Issue number19
DOIs
StatePublished - 1980

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