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

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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.

Original languageEnglish
Pages (from-to)78-114
Number of pages37
JournalAnnals of Physics
Volume138
Issue number1
DOIs
StatePublished - Jan 1982

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