Artificial magnetism and anticrossing interaction in photonic crystals and split-ring structures

Abstract

International audienceIn this paper, the authors conduct a study of artificial magnetism and anticrossing interaction that arise in photonic crystals and split-ring structures. The magnetic activity comes from localization of fields in photonic crystals with large dielectric contrast as well as in split-ring structures with the defectlike resonance. Both structures exhibit similar dispersion features near the resonance, whose effective permeability can be described in terms of the Lorentz-type oscillators. In particular, strong magnetic response is accompanied with the anticrossing interaction between the two fundamental frequency branches. This feature is characterized by a simple dynamic model which incorporates the coupling between a free and a localized photon state and illustrated with the transition of mode patterns where the fields mutually exchange their localization nature as the wave number changes

Nonlocal homogenization theory in metamaterials: Effective electromagnetic spatial dispersion and artificial chirality

“…It is well-known that the nonlocal first order contribution (i.e. containing first order spatial derivatives of the electric field) is equivalent to a reciprocal bianisotropic response [40] whereas the second order contribution can be partially interpreted as a correction to the effective magnetic permeability tensor [40,41], a phenomenon which is known as artificial or optical magnetism [9,[42][43][44][45]. If the effective nonlocality is weak, the effective medium response is adequately described by reciprocal bianisotropic constitutive relations where the chirality tensor accounts for the strength of magnetic and electric polarizations coupling.…”

Resonant cavitylike modes in dielectric photonic crystals made of collections of subwavelength cylinders

“…This permeability model is also applicable to the magnetic response of split-ring resonators, 12 where the resonance factor ␤ 11 Ϸ 1. In analogy with the dielectric model of polar materials, Eq.…”

Resonance and Double Negative Behavior in Metamaterials

“…The connection between high contrast interfaces and negative effective magnetic permeability for time harmonic waves is made in [30]. More recently two-scale homogenization theory has been developed for three dimensional split ring structures that deliver negative effective magnetic permeability [8,13]. For periodic arrays made from metal fibers a homogenization theory delivering negative effective dielectric constant [7] is established.…”