Rigorous bounds for the complex dielectric constant of a two-component composite |
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Authors: | David J Bergman |
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Institution: | Department of Physics and Astronomy, Tel Aviv University, 69978 Tel Aviv, Israel |
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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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