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Constraint on linear, spatiotemporally nonlocal, spatiotemporally nonhomogeneous constitutive relations
Authors:A. Lakhtakia and W. S. Weiglhofer
Affiliation:(1) CATMAS—Computational & Theoretical Materials Sciences Group Department of Engineering Science and Mechanics, Pennsylvania State University, 16802-1401 University Park, Pennsylvania, USA;(2) Department of Mathematics, University of Glasgow, G12 8QW Glasgow, Scotland, Great Britain
Abstract:The structure of modern electromagnetic theory imposes a fundamental constraint on the constitutive relations which describe linear material media. Here, in extension to previous work, we provide a proof of this algebraic constraint for the most general type of linear medium: one that is bianisotropic and spatiotemporally nonhomogeneous as well as spatiotemporally nonlocal.
Keywords:Constitutive relations  Linear media  Nonlocal media  Nonhomogeneous media  Aging media
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