Metamaterial homogenization approach with application to the characterization of microstructured composites with negative parameters

By Mario G. Silveirinha. 2006

218 citations recorded by the source corpus.

In this work, we develop a systematic and self-consistent approach to homogenize arbitrary nonmagnetic periodic metamaterials. The proposed method does not rely on the solution of an eigenvalue problem and can fully characterize the effects of frequency dispersion, magnetoelectric coupling, and spatial dispersion, even in frequency band gaps or when the materials are lossy. We formulate a homogenization problem to characterize a generic microstructured artificial material, and demonstrate that it is equivalent to an integral-differential system. We prove that this complex system can be reduced to a standard integral equation and solved using standard methods. To illustrate the application of the proposed method, we homogenize several important metamaterial configurations involving split-ring resonators and metallic wires.

Subfields: Aerospace Engineering, Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/4d2533ff5b6ccd16e1be61da16fc43ff16de0634

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In Aerospace Engineering

In Atomic and Molecular Physics, and Optics

In Electronic, Optical and Magnetic Materials

Citations in the corpus

Nonlocal flat optics (2022, background): “In broader terms, any bi-anisotropic linear material can be described by purely electric spatially dispersive constitutive relations [99].”
Photonics of time-varying media (2021, background): “Note that this argument is only justified in the static limit, as in the dynamical case the second-order spatial dispersion effects may lead to artificial magnetism.(166,172) Remarkably, when both ε and μ are modulated in spacetime, ξef can be nontrivial.”