Effective magnetic properties of a composite material with circular conductive elements

Realistic metamaterial lenses: Limitations imposed by discrete structure

“…Indeed, it was shown explicitly for CLR metamaterials that the characteristic length of response formation in the bulk is of the order of few lattice constants. 19 This is also generally expected in condensed matter theory. 31,32 Consequently, it does not make sense to speak of any effective material properties on a smaller scale and any excitations delivered on the level of individual elements are spread out across the corresponding area encompassing numerous unit cells.…”

“…16 While the latter practical devices allow for a precise and exact theoretical description ͑in terms of accounting for their structure and all the few elements explicitly͒, larger metamaterials are normally analyzed with the help of effective medium modeling, 17,18 so that split-ring structures can be described with effective permeability. [19][20][21] Since for a thin lens ͑comprising just a few structural units in one direction͒ the effective permeability approach is not directly applicable, a specific continuous slab model was developed 22 which could be used to calculate transmission/reflection properties with the only approximation that the lens is assumed homogeneous and infinite in transverse directions. Although the latter model was quite efficient to predict the overall performance of the lens, 22,23 it was soon noticed 24 that some of the lens properties can differ remarkably whether evaluated with a continuous medium approximation, or assessed experimentally.…”

Metamaterial made of paired planar conductors: Particle resonances, phenomena and properties

“…where f m and Γ stand for the resonance and damping frequencies, respectively, and A denotes the resonance amplitude [1,27].…”

Reducing the losses of optical metamaterials

“…Zhou et al [64] suggested the losses can be reduced by increasing the effective inductance to capacitance ratio, L/C, based on the fact that the damping factor, Γ m , of a magnetic resonance, is inversely proportional to the effective inductance, Γ m ∝ R/L (R is the effective resistance) [65]. By this approach, they numerically obtained a figure of merit FOM = 2.5 for a fishnet structure at 484 nm wavelength, which is 5 times larger than the best result at 784 nm.…”