Transformed multipole theory of the response fields D and H to electric octopole–magnetic quadrupole order

We consider multipole theory of linear constitutive relations for the macroscopic electromagnetic response fields D and H to electric octopole-magnetic quadrupole order. We use a recently developed transformation theory to obtain unique, physically acceptable, constitutive relations from the unphysi...

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Published in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2005-02, Vol.461 (2054), p.595-608
Main Authors: Raab, R. E., de Lange, O. L.
Format: Article
Language:English
Subjects:
Birefringence
Coefficients
Constitutive equations
Constitutive Relations
Electromagnetism
Magnetic fields
Magnetic permeability
Magnetic storage
Multipole Theory
Multipoles
Quadrupoles
Response Fields
Tensors
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container_title Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences
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creator Raab, R. E.
de Lange, O. L.
description We consider multipole theory of linear constitutive relations for the macroscopic electromagnetic response fields D and H to electric octopole-magnetic quadrupole order. We use a recently developed transformation theory to obtain unique, physically acceptable, constitutive relations from the unphysical relations of conventional multipole theory. Explicit expressions for the transformed material constants and transformed macroscopic multipole moment densities in terms of appropriate macroscopic polarizability tensors are presented for both non-magnetic and magnetic media. The electric octopole-magnetic quadrupole contributions yield a new, physically acceptable multipole expression for the AC magnetizability; they satisfy the Post constraint; and they disagree with published results based on trial-and-error methods.
doi_str_mv 10.1098/rspa.2004.1389
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source JSTOR Archival Journals; Royal Society Publishing Jisc Collections Royal Society Journals Read & Publish Transitional Agreement 2025 (reading list)
subjects Birefringence
Coefficients
Constitutive equations
Constitutive Relations
Electromagnetism
Magnetic fields
Magnetic permeability
Magnetic storage
Multipole Theory
Multipoles
Quadrupoles
Response Fields
Tensors
title Transformed multipole theory of the response fields D and H to electric octopole–magnetic quadrupole order
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