Trilocally approximated strong-permittivity-fluctuation theory for nonlinear composite mediums

Tom G. Mackay, Akhlesh Lakhtakia, Werner S. Weiglhofer

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The strong-permittivity-fluctuation theory/SPFT) is well-established in the context of the homogenisation of linear composite materials. Unlike conventional homogenisation formalisms, the SPFT takes account of coherent interactions between scattering centres at sub-wavelength length scales. A weakly nonlinear second-order SPFT, applicable to electrostrictive composite materials, has recently been developed. We present here the corresponding third-order theory, namely the trilocally approximated SPFT. The issues of nonlinear SPFT convergence and the manifestation of nonlinearity enhancement are explored by means of a numerical example. The sensitivity of the nonlinear SPFT to the choice of covariance function is discussed.

Original languageEnglish (US)
Pages (from-to)100-111
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2002

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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