Micromorphic electromagnetic theory and waves
type: Item
instance of: scholarly article
title: Micromorphic electromagnetic theory and waves
zbMATH Open document ID: 1120.78003
author: A. Cemal Eringen
published in: Foundations of Physics
publication date: 2007-02-13T00:00:00Z
review text: The author considers the development and applications of the field equations of micromorphic electromagntic (M-EM) theory which involves five extra vectors and five second-order tensors as well as the usual Maxwell theory vectors. He opens by setting down the appropriate partial differential equations, pointing out that the classical fields arise from a surface averaging process whereas the extra fields and tensors, respectively, arise from a volume averaging process and a surface averaging of the moments of the classical fields. From these equations, he is able to suggest an expression for the micromorphic energy and generalisations of analysis associated with the Poynting vector theorem. Linear constitutive equations are produced which are relevant for anisodropic media, and conditions for the micromorphic energy to be nonnegative are developed. The relevant field equations are produced for isotropic media only and conditions for vector and tensor waves are discussed. The idea of micropol or micromorphic electromagnetic waves is introduced, and the suggestion is made that these waves are associated with spinwaves in quantum mechanics. It should be noted that the author does not use Giorgi units.
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 5125480
zbMATH Keywords: micromorphic electromagnetic theory
zbMATH Keywords: electric tensor waves
zbMATH Keywords: magnetic tensor waves
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
full work available at URL: s10701-006-9044-1
OpenAlex ID: W2131325390
cites work: Continuum theory of micromorphic electromagnetic thermoelastic solids
cites work: Electromagnetic theory of microstretch elasticity and bone modeling
cites work: Microcontinuum Field Theories
cites work: Nonlocal Continuum Field Theories
cites work: Q5573194
cites work: Q4256628
DOI: 10.1007/S10701-006-9044-1
description: scientific article; zbMATH DE number 5125480