Interacting percolation thresholds in three-phase particulate dielectric composites

Tom G. Mackay; Akhlesh Lakhtakia

doi:10.1117/12.615995

Interacting percolation thresholds in three-phase particulate dielectric composites

Research output: Contribution to journal › Conference article › peer-review

Abstract

The homogenization of three-phase participate dielectric composites provides the setting for our theoretical study. We implement an extension of the widely used Bruggeman homogenization formalism which takes account of the sizes, shapes, and orientations of the component particles. Thereby, the relationships between the geometric attributes of the component particles and the constitutive parameters of the homogenized composite are investigated. In particular, we consider interactions between percolation thresholds associated with conducting and nonconducting component particles. Anisotropies in percolation thresholds and their interactions are explored via numerical examples.

Original language	English (US)
Article number	59240K
Pages (from-to)	1-9
Number of pages	9
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5924
DOIs	https://doi.org/10.1117/12.615995
State	Published - 2005
Event	Complex Mediums VI: Light and Complexity - San Diego, CA, United States Duration: Jul 31 2005 → Aug 2 2005

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.615995

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abstract = "The homogenization of three-phase participate dielectric composites provides the setting for our theoretical study. We implement an extension of the widely used Bruggeman homogenization formalism which takes account of the sizes, shapes, and orientations of the component particles. Thereby, the relationships between the geometric attributes of the component particles and the constitutive parameters of the homogenized composite are investigated. In particular, we consider interactions between percolation thresholds associated with conducting and nonconducting component particles. Anisotropies in percolation thresholds and their interactions are explored via numerical examples.",

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AB - The homogenization of three-phase participate dielectric composites provides the setting for our theoretical study. We implement an extension of the widely used Bruggeman homogenization formalism which takes account of the sizes, shapes, and orientations of the component particles. Thereby, the relationships between the geometric attributes of the component particles and the constitutive parameters of the homogenized composite are investigated. In particular, we consider interactions between percolation thresholds associated with conducting and nonconducting component particles. Anisotropies in percolation thresholds and their interactions are explored via numerical examples.

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JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

M1 - 59240K

T2 - Complex Mediums VI: Light and Complexity

Y2 - 31 July 2005 through 2 August 2005

ER -

Interacting percolation thresholds in three-phase particulate dielectric composites

Abstract

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