Abstract
Electromagnetic or acoustic metamaterials can be described in terms of equivalent effective, in general anisotropic, media and several techniques exist to determine the effective permeability and permittivity (or effective mass density and bulk modulus in the context of acoustics). Among these techniques, retrieval methods use the measured reflection and transmission coefficients (or scattering coefficients) for waves incident on a metamaterial slab containing few unit cells. Until now, anisotropic effective slabs have been considered in the literature but they are limited to the case where one of the axes of anisotropy is aligned with the slab interface. We propose an extension to arbitrary orientations of the principal axes of anisotropy and oblique incidence. The retrieval method is illustrated in the electromagnetic case for layered media, and in the acoustic case for array of tilted elliptical particles.
Highlights
Metamaterials have generated an intense research interest in recent years for their ability to produce unusual properties of wave propagations, in electromagnetism, acoustics, elasticity and for water waves, see, e.g., [1, 2, 3, 4, 5]
Concluding remarks We have proposed an extension of the well-known parameter retrieval method toward oblique incidence and arbitrary anisotropy directions of the effective medium
The retrieval method has been validated in a simple case of slanted layer structures, where the homogenization theory of layered medium is known to produce accurate results in the low frequency regime
Summary
Metamaterials have generated an intense research interest in recent years for their ability to produce unusual properties of wave propagations, in electromagnetism, acoustics, elasticity and for water waves, see, e.g., [1, 2, 3, 4, 5]. This is done together considering oblique incidence of the plane wave on the air-metamaterial interface (angle q ). In this particular configuration, our retrieval technique is validated, and the variations of the retrieved effective parameters with the frequency and the anisotropy angle are inspected.
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