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Advances in Electromagnetics of Complex Media and Metamaterials pp 61–80Cite as

A Flavour of Constitutive Relations: The Linear Regime

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Part of the book series: NATO Science Series ((NAII,volume 89))

Abstract

Constitutive relations supplement the Maxwell equations to provide a selfconsistent and complete description of electromagnetic processes in materials. Some of the basic aspects relating to the characterization of different types of materials in terms of constitutive relations are reviewed in this contribution. Special emphasis is placed upon the different interpretations of time-domain and frequency-domain formulations. Some selected case studies show how nonlocality in time is equivalent to locality in frequency. The genesis of constitutive relations is exemplified through two mechanisms: a simple model for an electron plasma which leads to anisotropy and a homogenization technique from which a very general class of composite mediums, so-called Faraday chiral mediums, emerge. In the linear regime, the general bianisotropic medium, characterized by four constitutive dyadics (second-rank cartesian tensors) is the most general type of medium.

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Authors and Affiliations

  1. Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, Great Britain

    Werner S. Weiglhofer

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  1. Werner S. Weiglhofer
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Editors and Affiliations

  1. Pierre et Marie Curie University, Paris, France

    Saïd Zouhdi

  2. Helsinki University of Technology, Espoo, Finland

    Ari Sihvola

  3. Cadi Ayyad University, Marrakesh, Morocco

    Mohamed Arsalane

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Weiglhofer, W.S. (2002). A Flavour of Constitutive Relations: The Linear Regime. In: Zouhdi, S., Sihvola, A., Arsalane, M. (eds) Advances in Electromagnetics of Complex Media and Metamaterials. NATO Science Series, vol 89. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1067-2_4

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  • DOI: https://doi.org/10.1007/978-94-007-1067-2_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1102-3

  • Online ISBN: 978-94-007-1067-2

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