Interacting percolation thresholds in three-phase particulate dielectric composites

Tom G. Mackay, Akhlesh Lakhtakia

Research output: Contribution to journalConference articlepeer-review


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 languageEnglish (US)
Article number59240K
Pages (from-to)1-9
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2005
EventComplex Mediums VI: Light and Complexity - San Diego, CA, United States
Duration: Jul 31 2005Aug 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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