Determining the Effective Electromagnetic Parameters of Bianisotropic Metamaterials With Periodic Structures

Abstract

Abstract-A straightforward approach is proposed to retrieve the effective electromagnetic parameters of a slab of bianisotropic material from the scattering parameters. We first obtain the values of the impedance and refractive index of a slab of metamaterial, followed by the deduction of the expressions for determining these electromagnetic parameters including permittivity, permeability and magnetoelectric coupling coefficient. Then, comparisons between the results coming respectively from retrieval technique and analytical method are made. Finally, we demonstrate the properties of split-ring resonator materials in other two orientations with respect to the incident plane wave and apply the proposed method to anisotropic materials to reveal its generality.

On Fresnel-Airy Equations, Fabry-Perot Resonances and Surface Electromagnetic Waves in Arbitrary Bianisotropic Metamaterials

“…Durach et al taxonomy [32,33] provide a framework for future advances not only in the field of bianisotropic metamaterials, but also for hyperbolic metamaterials, already known for applications in optical imaging, hyperlensing, and emission rate and directivity control utilizing the diverging optical density of high-k states [22,24,39,40]. Researchers in bianisotropics are attempting to use the optical responses of specific bianisotropic metamaterial and metasurface structures including reflection, transmission, and scattering characteristics, resonances, surface electromagnetic waves (SEWs), and various properties of field distributions to retrieve the information about the effective material parameters [41][42][43][44][45][46][47][48][49][50][51][52][53][54] and the constituent meta-atoms [55][56][57][58]. Another important direction is to homogenize metamaterials composed of specific meta-atoms into an effective medium [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75] or inversely to use structure synthesis or modular approach of materiatronics…”

Quad-Band multi-polarized antenna with modified electric-inductive−capacitive resonator

“…In the literature, several techniques have been reported to extract material parameters of the unit cell [29][30][31][32][33]. The parameters (ε and μ) of the proposed m-ELC are computed using Nicolson−Ross−Weir (NRW) method.…”

An Exactly-Solvable Quasistatic Electricity Inverse Problem: Retrieval of the Complex Permittivity of a Cylinder Taking Account of Nuisance Parameter Uncertainty

“…), the specimens can have complicated shapes (although they are often considered to be spherical or cylindrical [3,6]) and are too small (e.g., films so thin that the matter therein appears to be divided) to be examined by the previously-mentioned techniques [3,6,14,20]. It is thus increasingly recognized that discrepancies between the assumed and actual: size, shape and composition of the specimen (divided versus homogeneous, such as in colloids and metamaterials [4,5,18]) have to be taken into account in connection with the meaning that is attached to the permittivity determined from the response of the specimens to quasistatic or dynamic (wave-like) electric fields (the latter response incorporates diffraction and/or collective effects, not ordinarily accounted-for in methods relying on reflective or refractive response fields). A second trend of permittivity retrieval inverse problems is the recognition of the necessity of taking into account the uncertainty (of the experimental results [20]) of certain parameters (and their sensitivity [5]) that enter into the retrieval model, and of the mathematical ingredients of the retrieval model itself [15], in order to evaluate the accuracy of the retrieved parameters, e.g., [7,9,10,20].…”