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Volumn 84, Issue 5, 2011, Pages

Causality relations in the homogenization of metamaterials

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EID: 80052275438     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.054305     Document Type: Article
Times cited : (57)

References (38)
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    • It should be noted that for source-free arrays, where the propagation vector β is not fixed, but varies with ω, β can become complex in bandgaps and other frequency regions, even though the inclusions are lossless. This implies that the bulk permittivity or permeability can violate (1a), that is have a negative imaginary part in these frequency regions [20], and thus also violate (1b). Therefore, throughout this paper we confine our discussion to fixed real values of the propagation constant β.
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    • By 'anti-Lorentzian' we indicate here 'anti-resonant' frequency dispersion associated with a complex pole in the upper complex ω half-plane. This is generally reflected into a Lorentzian resonance with inverted dispersion, which violates Eq. .
    • By 'anti-Lorentzian' we indicate here 'anti-resonant' frequency dispersion associated with a complex pole in the upper complex ω half-plane. This is generally reflected into a Lorentzian resonance with inverted dispersion, which violates Eq..
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