Bounds on the complex permittivity of matrix-particle composites
Journal Article 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...
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American Institute of Physics (AIP)
1995
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ftunivutah:oai:collections.lib.utah.edu:ir_uspace/704596 2023-05-15T18:17:50+02:00 Bounds on the complex permittivity of matrix-particle composites Golden, Kenneth M. Sawicz, Romuald College of Science Mathematics 1995 application/pdf 790,696 bytes https://collections.lib.utah.edu/ark:/87278/s6hq4h78 eng eng American Institute of Physics (AIP) ir-main,5733 https://collections.lib.utah.edu/ark:/87278/s6hq4h78 (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. Random Parameters Continuation Text 1995 ftunivutah 2021-06-03T18:23:37Z Journal Article 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. Text Sea ice The University of Utah: J. Willard Marriott Digital Library |
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The University of Utah: J. Willard Marriott Digital Library |
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English |
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Random Parameters Continuation |
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Random Parameters Continuation Golden, Kenneth M. Sawicz, Romuald Bounds on the complex permittivity of matrix-particle composites |
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Random Parameters Continuation |
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Journal Article 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. |
author2 |
College of Science Mathematics |
format |
Text |
author |
Golden, Kenneth M. Sawicz, Romuald |
author_facet |
Golden, Kenneth M. Sawicz, Romuald |
author_sort |
Golden, Kenneth M. |
title |
Bounds on the complex permittivity of matrix-particle composites |
title_short |
Bounds on the complex permittivity of matrix-particle composites |
title_full |
Bounds on the complex permittivity of matrix-particle composites |
title_fullStr |
Bounds on the complex permittivity of matrix-particle composites |
title_full_unstemmed |
Bounds on the complex permittivity of matrix-particle composites |
title_sort |
bounds on the complex permittivity of matrix-particle composites |
publisher |
American Institute of Physics (AIP) |
publishDate |
1995 |
url |
https://collections.lib.utah.edu/ark:/87278/s6hq4h78 |
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Sea ice |
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Sea ice |
op_relation |
ir-main,5733 https://collections.lib.utah.edu/ark:/87278/s6hq4h78 |
op_rights |
(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. |
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1766193192880832512 |