From Scattering Parameters to Snell’s Law: A Subwavelength Near-Infrared Negative-Index Metamaterial

Zhang, Xuhuai; Davanço, Marcelo; Urzhumov, Yaroslav; Shvets, Gennady; Forrest, Stephen R.

doi:10.1103/physrevlett.101.267401

Cited by 17 publications

(24 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(14) and (15). Instead of reconsidering the single interface scenario, we have now chosen a SC slab embedded in a bulk fishnet MM to perform that benchmark test.…”

Section: Metamaterials Slab Surrounded By a Dissimilar Metamateriamentioning

confidence: 99%

“…Since most interesting dispersive features of MMs fade away as the size of their unit cell is reduced beyond a certain limit, [10][11][12][13][14] one has to get used to the fact that operation in the mesoscopic domain is rather unavoidable. However, in recent publications, the term "homogeneity" with regard to metamaterials has been discussed in a broader context [15][16][17] based on the optical response (scattering response) of a specific MM. Thus it is not surprising that a unifying solution for a possible homogenization of all kinds of MMs, in particular such containing mesoscopic structures, does not exist.…”

Section: Introductionmentioning

confidence: 99%

“…[22][23][24] In principle, it requires to deal with an infinite number of modes, which are usually calculated by numerical means. [25][26][27] At first glance, this approach does not simplify the problem but it has been shown that the least damped Bloch mode-the so-called fundamental mode-describes light propagation in most bulk MMs sufficiently well.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reflection and transmission of light at periodic layered metamaterial films

et al. 2011

View full text Add to dashboard Cite

The appropriate description of light scattering (transmission/reflection) at a bulky artificial medium, consisting of a sequence of functional metamaterial and natural material films, represents a major challenge in current theoretical nano-optics. Because in many relevant cases, in particular, in the optical domain, a metamaterial must not be described by an effective permittivity and permeability the usual Fresnel formalism cannot be applied. A reliable alternative consists in using a Bloch mode formalism known, e.g., from the theory of photonic crystals. It permits to split this complex issue into two more elementary ones, namely the study of light propagation in an infinitely extended metamaterial and the analysis of light scattering at interfaces between adjacent meta and natural materials. The first problem is routinely solved by calculating the relevant Bloch modes and their dispersion relations. The second task is more involved and represents the subject of the present study. It consists in using the general Bloch mode orthogonality to derive rigorous expressions for the reflection and transmission coefficients at an interface between two three-dimensional absorptive periodic media for arbitrary incidence. A considerable simplification can be achieved if only the fundamental Bloch modes of both media govern the scattering properties at the interface. If this approximation is valid, which depends on the longitudinal metamaterial period, the periodic metamaterial may be termed homogeneous. Only in this case the disentanglement of the fundamental modes of both media can be performed and the reflection/transmission coefficients can be expressed in terms of two impedances, each depending solely on the properties of the fundamental mode of the respective medium. In order to complement the picture, we apply the present formalism to the quite general problem of reflection/transmission at a metamaterial film sandwiched between a dissimilar metamaterial. This situation asks for a devoted treatment where multiple modes have to be taken into account.

show abstract

“…(14) and (15). Instead of reconsidering the single interface scenario, we have now chosen a SC slab embedded in a bulk fishnet MM to perform that benchmark test.…”

Section: Metamaterials Slab Surrounded By a Dissimilar Metamateriamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reflection and transmission of light at periodic layered metamaterial films

et al. 2011

View full text Add to dashboard Cite

show abstract

“…To determine what the bulk properties of metamaterials are, one may rely on the dispersion relation to extract an effective index [221]. It is given by scaling the propagation constant in the medium with the propagation constant of the free space.…”

Section: Homogenizationmentioning

confidence: 99%

3D THz metamaterials from micro/nanomanufacturing

Moser

Rockstuhl

2011

Laser & Photonics Reviews

View full text Add to dashboard Cite

Metamaterials are engineered composite materials offering unprecedented control of wave propagation. Despite their complexity, effective properties can frequently be extracted by conceptualizing them as homogeneous and isotropic media with dispersive electric permittivity and magnetic permeability. For an ideal isotropic medium, strong dispersion in these properties causes wave and field vectors to form a left-handed (E,H,k)-frame involving backward waves, and offering control of quantities like the refractive index which may become negative. Experimental evidence exists from microwaves to the visible. Applications include sub-wavelength-resolution imaging, invisibility cloaking, plasmonics-based lasers, metananocircuits, and omnidirectional absorbers. As the engineered sub-structures must be smaller than their design wavelength, micro/nanomanufacturing is exploited from primary pattern generation over lithography to templating and molecular beam epitaxy. 3D metamaterials have been made by stacking of layers, multilayer structuring, and 3D primary pattern generation. Theory shows that full properties may build up over one or a very few layers.

show abstract

“…The initial upsurge of interest was triggered by verifications of new phenomena which come about when negative permeability and negative permittivity can be simultaneously realized in the same frequency band, [1][2][3] including the concept of the perfect lens. 4 New potential applications (e.g., invisibility cloaks) have been emerging at a high rate, and considerable progress has been made on both the theoretical 5 and experimental 6,7 fronts.…”

Section: Introductionmentioning

confidence: 99%

Mapping inter-element coupling in metamaterials: Scaling down to infrared

Tatartschuk

Gneiding

Hesmer

et al. 2012

Journal of Applied Physics

View full text Add to dashboard Cite

Electrowetting based infrared lens using ionic liquids Appl. Phys. Lett. 99, 213505 (2011) Modulation of negative index metamaterials in the near-IR range Appl. Phys. Lett. 91, 173105 (2007) Mixed metal films with switchable optical properties Appl. Phys. Lett. 80, 1349Lett. 80, (2002 Population dynamics of the threemicron emitting level of Er3+ in YAlO3 J. Appl. Phys. 80, 6610 (1996) Experimental characterization of reactive ion etched germanium diffraction gratings at 10.6 μm Appl. Phys. Lett. 69, 3453 (1996) Additional information on J. Appl. Phys. The coupling between arbitrarily positioned and oriented split ring resonators is investigated up to THz frequencies. Two different analytical approaches are used, one based on circuits and the other on field quantities that includes retardation. These are supplemented by numerical simulations and experiments in the GHz range, and by simulations in the THz range. The field approach makes it possible to determine separately the electric and magnetic coupling coefficients which, depending on orientation, may reinforce or may cancel each other. Maps of coupling are produced for arbitrary orientations of two co-planar split rings resonant at around 2 GHz and then with the geometry scaled down to be resonant at around 100 THz. We prove that the inertia of electrons at high frequencies results in a dramatic change in the maps of coupling, due to reduction of the magnetic contribution. Our approach could facilitate the design of metamaterials in a wide frequency range up to the saturation of the resonant frequency. V C 2012 American Institute of Physics.

show abstract

From Scattering Parameters to Snell’s Law: A Subwavelength Near-Infrared Negative-Index Metamaterial

Cited by 17 publications

References 27 publications

Reflection and transmission of light at periodic layered metamaterial films

Reflection and transmission of light at periodic layered metamaterial films

3D THz metamaterials from micro/nanomanufacturing

Mapping inter-element coupling in metamaterials: Scaling down to infrared

Contact Info

Product

Resources

About