Interacting percolation thresholds in three-phase particulate dielectric composites

Tom G. Mackay; Akhlesh Lakhtakia

doi:10.1117/12.615995

15 September 2005 Interacting percolation thresholds in three-phase particulate dielectric composites

Tom G. Mackay, Akhlesh Lakhtakia

Proceedings Volume 5924, Complex Mediums VI: Light and Complexity; 59240K (2005) https://doi.org/10.1117/12.615995
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

The homogenization of three-phase particulate 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.

Citation Download Citation

Tom G. Mackay and Akhlesh Lakhtakia "Interacting percolation thresholds in three-phase particulate dielectric composites", Proc. SPIE 5924, Complex Mediums VI: Light and Complexity, 59240K (15 September 2005); https://doi.org/10.1117/12.615995

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