A quest for systematic constitutive formulations for general field and wave systems based on the volterra differential operators – abstract

D. Censor

Research output: Contribution to journalArticlepeer-review

Abstract

A systematic formulation of constitutive relations for gen- eral field systems is explored, which takes into account the main ma- terial features. These are dispersion, inhomogeneity, which can be present in linear and nonlinear systems. There are two main dif- ficulties associated with existing representations: Dispersion is usu- ally referred to in the spectral domain, while inhomogeneity is obvi- ously a spatiotemporal phenomenon; moreover, the existing represen- tations involve spatiotemporally dependent integrals, and those sug- gest non-local interaction which raises relativistic causality issues. The present approach introduces new representations in terms of Volterra differential operators, which obviate these difficulties within the do- main of their validity, allowing for spatiotemporal representation of both dispersion and inhomogeneity, in linear and nonlinear systems. Minkowski's methodology for representation of material properties in the presence of moving media is re-examined in view of the new con- stitutive relations, especially as regards Maxwell's equations of Elec- trodynamics.

Original languageEnglish
Pages (from-to)77-78
Number of pages2
JournalJournal of Electromagnetic Waves and Applications
Volume14
Issue number1
DOIs
StatePublished - 1 Jan 2000

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • General Physics and Astronomy
  • Electrical and Electronic Engineering

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