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General form of Maxwell equations for metamaterials study
Author(s) -
Cho Kikuo
Publication year - 2008
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200879815
Subject(s) - metamaterial , maxwell's equations , physics , tensor (intrinsic definition) , symmetry (geometry) , classical mechanics , quantum mechanics , mathematics , pure mathematics , geometry
Based on a new, more complete form of macroscopic Maxwell equations, we discuss its influence on the studies of metamaterials, where coexisting electric and magnetic polarizations make unusual EM responses. The new scheme is derived by applying a long‐wavelength approximation to the fundamental equations of microscopic non‐local response theory, and it requires only one susceptibility tensor χ cm ( ω , k ) to take care of all the electric and magnetic polarizations and their mutual interference in the different‐order terms of the wave vector k . This scheme reduces to the conventional one in the absence of chiral symmetry, while the Drude–Born–Fedorov equations for the phenomenological description of a chiral medium turn out to be incorrect near the resonance frequency. In the conventional description of a non‐chiral medium in terms of ε and μ , it is required to use the magnetic susceptibility defined with respect, not to H , but to B with poles at magnetic transition energies. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)