Bounds on the complex permittivity of matrix-particle composites

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Publication Type Journal Article
School or College College of Science
Department Mathematics
Creator Golden, Kenneth M.
Other Author Sawicz, Romuald
Title Bounds on the complex permittivity of matrix-particle composites
Date 1995
Description The complex effective dielectric constant E* of matrix-particle composites is considered. Such composites consist of separated inclusions of material of type one embedded in a matrix of material of type two. The analytic continuation method is used to derive a series of bounds which incorporate a nonpercolation assumption about the inclusions. The key step in obtaining these improved bounds is to observe that the nonpercolation assumption restricts the support of the measure in the integral representation for E* (0. Bruno, Proc. R. Soc. London A 433, 353 (1991)). The further the separation of the inclusions, the tighter the restriction on the support. The new bounds are applied to sea ice, which is assumed to consist of a pure ice matrix with random brine inclusions. Using experimental measurements of the average size and separation of the brine pockets, end points of the support of the measure can be determined, and subsequently used to find the allowed range of values of the effective dielectric constant of sea ice. The new bounds are compared with experimental data taken at 4.75 GHz, and exhibit significant improvement over previous fixed volume fraction and Hashin-Shtrikman bounds.
Type Text
Publisher American Institute of Physics (AIP)
Journal Title Journal of Applied Physics
Volume 78
Issue 12
First Page 7240
Last Page 7246
DOI 10.1063/1.360436
citatation_issn 218979
Subject Random; Parameters; Continuation
Language eng
Bibliographic Citation Sawicz, R., & Golden, K. M. (1995). Bounds on the complex permittivity of matrix-particle composites. Journal of Applied Physics, 78(12), 7240-6.
Rights Management (c)American Institute of Physics. The following article by Romuald Sawicz, and Kenneth Golden appeared in Journal of Applied Physics, 78(12), 1995 and may be found at htt://www.doi.org DOI:10.1063/1.360436.
Format Medium application/pdf
Format Extent 790,696 bytes
Identifier ir-main,5733
ARK ark:/87278/s6hq4h78
Setname ir_uspace
Date Created 2012-06-13
Date Modified 2012-06-13
ID 704596
Reference URL https://collections.lib.utah.edu/ark:/87278/s6hq4h78
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