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Exotic Metamaterials from Noncommutative Theory
Author(s) -
Prudencio Thiago,
Belich Humberto
Publication year - 2018
Publication title -
advanced theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.068
H-Index - 17
ISSN - 2513-0390
DOI - 10.1002/adts.201800020
Subject(s) - noncommutative geometry , metamaterial , refractive index , permittivity , dielectric , noncommutative quantum field theory , negative index metamaterials , condensed matter physics , physics , permeability (electromagnetism) , electrical impedance , materials science , optics , quantum mechanics , mathematical physics , chemistry , biochemistry , membrane
Exotic optical properties in materials are investigated as a consequence of noncommutative geometry (NCG) originated from deformed Heisenberg algebra. The NCG leads to modified eletromagnetism and then changes the constitutive relations that allow the determination of refractive index and impedance of the medium for different materials. Considering different situations where permittivity and permeability are obtained depending on NCG parameters, in dielectric, nonmagnetic, and magnetic cases, exotic conditions associated with metamaterial properties are obtained as the presence of negative index refraction under a generalized susceptibility depending on NCG. These results show that a class of optical metamaterials can be modeled based on NCG depending on noncommutative parameters.