From photonic crystals to metamaterials: the bianisotropic response

Reyes-Avendaño, Jorge A.; Algredo-Badillo, U.; Halevi, P.; Pérez-Rodrı́guez, F.

doi:10.1088/1367-2630/13/7/073041

Cited by 27 publications

(38 citation statements)

References 58 publications

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“…4 Effective medium theories [18][19][20][21][22][23][24][25][26] have been proposed for describing inhomogeneous systems, such as diluted colloidal suspensions in the quasistatic or long-wavelength limit, in terms of a homogeneous macroscopic response. Further developments on homogenization of composites have been proposed [27][28][29][30][31][32][33][34][35] and their limits of validity have been discussed [2,36,37].…”

Section: Introductionmentioning

confidence: 99%

Macroscopic optical response and photonic bands

et al. 2013

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We develop a formalism for the calculation of the macroscopic dielectric response of composite systems made of particles of one material embedded periodically within a matrix of another material, each of which is characterized by a well-defined dielectric function. The nature of these dielectric functions is arbitrary, and could correspond to dielectric or conducting, transparent or opaque, absorptive and dispersive materials. The geometry of the particles and the Bravais lattice of the composite are also arbitrary. Our formalism goes beyond the long-wavelength approximation as it fully incorporates retardation effects. We test our formalism through the study of the propagation of electromagnetic waves in two-dimensional photonic crystals made of periodic arrays of cylindrical holes in a dispersionless dielectric host. Our macroscopic theory yields a spatially dispersive macroscopic response which allows the calculation of the full photonic band structure of the system, as well as the characterization of its normal modes, upon substitution into the macroscopic field equations. We can also account approximately for the spatial dispersion through a local magnetic permeability and analyze the resulting dispersion relation, obtaining a region of left handedness.

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Section: Introductionmentioning

confidence: 99%

Macroscopic optical response and photonic bands

et al. 2013

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“…2(a)], while the H y component can induce an electric dipole along the x axis. Therefore, we can achieve a bianisotropic response that couples the electric and magnetic responses along orthogonal directions [34]. In other words, each SRR corresponds to one of the off-diagonal elements in the coupling matrix ξ, with the orientation of each SRR controlling the sign of the corresponding matrix element.…”

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confidence: 99%

Line Degeneracy and Strong Spin-Orbit Coupling of Light with Bulk Bianisotropic Metamaterials

et al. 2015

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Propagation of light in a medium is dictated by equifrequency surfaces (EFSs), which play a similar role as Fermi surfaces for electrons in crystals. Engineering the equifrequency surface of light through structuring a photonic medium enables superior control over light propagation that goes beyond natural materials. In this Letter, we show that a bulk metamaterial with a suitably designed bianisotropy can exhibit line degeneracy in its EFSs that consist of two ellipsoids of opposite helicity states intersecting with each other. Very interestingly, light propagating along the direction of the line degeneracy experiences strong spin-dependent photon deflection, or optical spin Hall effect, which may lead to applications in optical signal processing and spin-optical manipulations. We provide a realistic metamaterial design to show that the required bianisotropy can be readily obtained.

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“…38,54 Analogous symmetry prohibitions exist for macroscopic constitutive relations, requiringζ(ω) =ξ(ω) = 0 for inversion symmetric structures. 44,45 Equivalently, macroscopic magnetoelectric coupling can be described by first order spatial dispersion, 55 by incorporating magnetic responses into a permittivity tensor both temporally and spatially dispersive, D =¯ (ω, k)E. Weak spatial dispersion permits expansion in powers of k,…”

Section: Introductionmentioning

confidence: 99%

Reinterpreting the magnetoelectric coupling of polarizability tensors of infinite cylinders using symmetry: A simple TM/TE view

2016

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Recently, Strickland et al. retrieved dynamic polarizabilities of infinitely long wires at oblique incidence, reporting non-zero magnetoelectric coupling, seemingly defying existing theorems which forbid this in centrosymmetric scatterers. We reconcile this finding with existing symmetry restrictions on microscopic polarizabilities using a property of line dipoles. This motivates a reformulation of cylinder polarizability, yielding diagonal tensors that decompose the response into TM and TE contributions, simplifying subsequent treatment by homogenization theories. A transformation is derived between Strickland et al.'s formulation and our reformulation, allowing magnetoelectric coupling to be identified as the contrast between TM and TE responses, and enabling simple geometric insights into all its scaling and symmetry properties.

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From photonic crystals to metamaterials: the bianisotropic response

Cited by 27 publications

References 58 publications

Macroscopic optical response and photonic bands

Macroscopic optical response and photonic bands

Line Degeneracy and Strong Spin-Orbit Coupling of Light with Bulk Bianisotropic Metamaterials

Reinterpreting the magnetoelectric coupling of polarizability tensors of infinite cylinders using symmetry: A simple TM/TE view

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