Kapitza homogenization of deep gratings for designing dielectric metamaterials

Abstract

We theoretically investigate the homogenization of the dielectric response to transverse electric waves of a transverse grating characterized by the Kapitza condition, i.e. the permittivity is rapidly modulated with a modulation depth scaling as the large wavelength to modulation period ratio. We show that the resulting effective dielectric permittivity, in addition to the standard average of the underlying dielectric profile, has a further contribution arising from the fast and deep dielectric modulation. Such contribution turns out to be comparable with the other one and hence can provide an additional way for designing dielectric metamaterials. As an example, we discuss an effective metal-to-dielectric transition produced by the Kapitza contribution obtained by changing the grating depth.

3 pages, 3 figures

References in corpus (6)

• Non-local effects in effective medium response of nano-layered meta-materials
• Engineered Optical Nonlocality in Nanostructured Metamaterials
• Applications of hyperbolic metamaterial substrates
• Transmissivity directional hysteresis of a nonlinear metamaterial slab with very small linear permittivity
• Diffractionless propagation through Kapitza stratified media
• Transverse power flow reversing of confined waves in extreme nonlinear metamaterials

Cited by in corpus (1)

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