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arxiv 1810.07996 v2 pith:AZGZKQJ6 submitted 2018-10-18 physics.class-ph cond-mat.mtrl-sci

Four definitions of magnetic permeability for periodic metamaterials

classification physics.class-ph cond-mat.mtrl-sci
keywords metamaterialsdefinitionsfourmagneticperiodicpermeabilityanalysisartificial
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We state and compare four different definitions of magnetic permeability for periodic, artificial media, or metamaterials. The connection between them, and properties in general, are discussed in detail, including causality, passivity, symmetry, asymptotic behavior, and origin dependence. The analysis is limited to metamaterials made from linear and nonmagnetic constituents.

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