Bianisotropic metamaterials based on twisted asymmetric crosses

Reyes-Avendaño, Jorge A.; Sampedro, M. P.; Juárez-Ruiz, Estela; Pérez-Rodrı́guez, F.

doi:10.1088/2040-8978/16/6/065102

Cited by 9 publications

(6 citation statements)

References 84 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Two different homogenization techniques are obtained by assuming one of these two ingredients and subsequently incorporating the other. Therefore, starting from the photonic-crystal description of the structure where the spatial periodicity is fully taken into account, the effective medium response can be extracted in the long wavelength regime [19][20][21][22][23][24][25]. Conversely, the spatial rapidly-varying metamaterial features allows an asymptotic multi-scale analysis of the sample electromagnetic response which combined with the array periodicity yields the effective medium response [26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

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

Ciattoni¹,

Rizza

2015

Phys. Rev. B

127

View full text Add to dashboard Cite

We develop, from first principles, a general and compact formalism for predicting the electromagnetic response of a metamaterial with non-magnetic inclusions in the long wavelength limit, including spatial dispersion up to the second order. Specifically, by resorting to a suitable multiscale technique, we show that medium effective permittivity tensor and the first and second order tensors describing spatial dispersion can be evaluated by averaging suitable spatially rapidly-varying fields each satysifing electrostatic-like equations within the metamaterial unit cell. For metamaterials with negligible second-order spatial dispersion, we exploit the equivalence of first-order spatial dispersion and reciprocal bianisotropic electromagnetic response to deduce a simple expression for the metamaterial chirality tensor. Such an expression allows us to systematically analyze the effect of the composite spatial symmetry properties on electromagnetic chirality. We find that even if a metamaterial is geometrically achiral, i.e. it is indistinguishable from its mirror image, it shows pseudo-chiral-omega electromagnetic chirality if the rotation needed to restore the dielectric profile after the reflection is either a 0• or 90• rotation around an axis orthogonal to the reflection plane. These two symmetric situations encompass two-dimensional and one-dimensional metamaterials with chiral response. As an example admitting full analytical description, we discuss one-dimensional metamaterials whose single chirality parameter is shown to be directly related to the metamaterial dielectric profile by quadratures.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Ciattoni¹,

Rizza

2015

Phys. Rev. B

127

View full text Add to dashboard Cite

show abstract

“…[25], the anisotropy of the effective mass density in the low-frequency limit for homogenized three-dimensional phononic crystals, having solid and liquid materials in the unit cell, was studied. There, the form-factor division approach, which has been successfully applied to calculate effective parameters for photonic metamaterials [12,13,26], was employed to reduce the computing time.…”

Section: Ff Ff Ffmentioning

confidence: 99%

The Perspective of a Homogenization Approach for Effective Local and Non-local Response of the Elastic Wave Properties of Phononic Metamaterials

et al. 2020

View full text Add to dashboard Cite

“…Our goal was to find a specific non-magnetic geometry with the following effective ϵ r [20]: (19) where ϵ xx = ϵ zz . This kind of structure is attractive for polarisation splitter (circular to elliptical).…”

Section: Hihi Metamaterialsmentioning

confidence: 99%

Effective electrical parameters evaluation for non‐dispersive metamaterials with highly interaction fields

Firestein

Shavit

2019

IET Microwaves, Antennas & Propagation

View full text Add to dashboard Cite

Here, the authors apply Lorenz–Lorentz and Maxwell Garnett homogenisation theory in order to extract the effective constitutive parameters of a metamaterial. The authors demonstrate the significance of extracting the polarisability coefficients of a metamaterial taking in consideration the interaction fields of a unit cell neighbours in an infinite periodic structure. The validation process is done using full wave analysis by comparing reflection and transmission coefficients of the periodic structure to the results from a bulk characterised by the extracted electrical effective parameters. The presented method helped us to evaluate the effective parameters of non‐dispersive metamaterials with highly interaction fields. In addition, several new geometries of metamaterials that are characterised by unique non‐dispersive diagonal ϵfalse¯¯ and italicμfalse¯¯ are presented.

show abstract

Bianisotropic metamaterials based on twisted asymmetric crosses

Cited by 9 publications

References 84 publications

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

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

The Perspective of a Homogenization Approach for Effective Local and Non-local Response of the Elastic Wave Properties of Phononic Metamaterials

Effective electrical parameters evaluation for non‐dispersive metamaterials with highly interaction fields

Contact Info

Product

Resources

About