Rigorous bounds for the complex dielectric constant of a two-component composite

David J. Bergman

doi:10.1016/0003-4916(82)90176-2

Rigorous bounds for the complex dielectric constant of a two-component composite

David J. Bergman^*

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

217 Scopus citations

Abstract

Rigorous bounds are systematically derived for the bulk effective dielectric constant of a two-phase composite material ε_e under various assumptions about the available information. The bounds are drawn for some special cases in the complex ε_e-plane. The question of optimality of the bounds and their connection to solvable microgeometries is discussed. It is shown how linear programming theory can be used to aid in the derivation of these bounds.

Original language	English
Pages (from-to)	78-114
Number of pages	37
Journal	Annals of Physics
Volume	138
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(82)90176-2
State	Published - Jan 1982

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abstract = "Rigorous bounds are systematically derived for the bulk effective dielectric constant of a two-phase composite material εe under various assumptions about the available information. The bounds are drawn for some special cases in the complex εe-plane. The question of optimality of the bounds and their connection to solvable microgeometries is discussed. It is shown how linear programming theory can be used to aid in the derivation of these bounds.",

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Rigorous bounds for the complex dielectric constant of a two-component composite

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