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Orthogonal mappings of time‐harmonic electromagnetic fields in inhomogeneous (bi)anisotropic media
Author(s) -
Suchy K.,
Altman C.,
Schatzberg A.
Publication year - 1985
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs020i002p00149
Subject(s) - maxwell's equations , electromagnetic field , tensor (intrinsic definition) , reciprocity (cultural anthropology) , anisotropy , electromagnetic tensor , mathematical analysis , physics , maxwell stress tensor , mathematics , classical mechanics , geometry , optics , quantum mechanics , psychology , social psychology
If the electromagnetic field vectors and constitutive tensors of a (bi)anisotropic medium are mapped as the position vector with an orthogonal mapping, then another system of Maxwell's equations is obtained from the original one as well as a corresponding Green's tensor. If a similar mapping is applied on the transposed constitutive tensors and the adjoint field vectors, then yet another system of Maxwell's equations is obtained. Its Green's tensor is related to the original Green's tensor by a reciprocity theorem. Various examples are given for uniaxial media.