Implementation of optical dielectric metamaterials: A review

Corbitt, Shandra J.; Francoeur, Mathieu; Raeymaekers, Bart

doi:10.1016/j.jqsrt.2014.12.009

Cited by 37 publications

(29 citation statements)

References 83 publications

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“…To look closer into the relation between pair potential form and target stability, it is helpful to recall that the chemical potential expression for a ground state system is given as µ l = U l + P l /ρ l . Using the energy and pressure expressions in (5) and (6), it is possible to recast this expression as…”

Section: Resultsmentioning

confidence: 99%

Breadth versus depth: Interactions that stabilize particle assemblies to changes in density or temperature

Piñeros

Bâldea

Truskett

2016

The Journal of Chemical Physics

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We use inverse methods of statistical mechanics to explore trade-offs associated with designing interactions to stabilize self-assembled structures against changes in density or temperature. Specifically, we find isotropic, convex-repulsive pair potentials that maximize the density range for which a two-dimensional square lattice is the stable ground state subject to a constraint on the chemical potential advantage it exhibits over competing structures (i.e., 'depth' of the associated minimum on the chemical potential hypersurface). We formulate the design problem as a nonlinear program, which we solve numerically. This allows us to efficiently find optimized interactions for a wide range of possible chemical potential constraints. We find that assemblies designed to exhibit a large chemical potential advantage at a specified density have a smaller overall range of densities for which they are stable. This trend can be understood by considering the separation-dependent features of the pair potential and its gradient required to enhance the stability of the target structure relative to competitors. Using molecular dynamics simulations, we further show that potentials designed with larger chemical potential advantages exhibit higher melting temperatures.

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Section: Resultsmentioning

confidence: 99%

Breadth versus depth: Interactions that stabilize particle assemblies to changes in density or temperature

Piñeros

Bâldea

Truskett

2016

The Journal of Chemical Physics

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“…Fabricating materials with predetermined structural features, especially at the nanoscale, remains an outstanding challenge. While technological advances in topdown approaches such as lithography have expanded the possibilities in this arena, these methods are often prohibitively slow and expensive to implement at the length scales of interest for industrial nanomanufacturing applications 1,2 . Bottom-up approaches such as the designed self assembly of particles (molecules, nanocrystals, colloids, etc) into desired morphologies represent promising alternatives [3][4][5] .…”

Section: Introductionmentioning

confidence: 99%

Designing convex repulsive pair potentials that favor assembly of kagome and snub square lattices

Piñeros

Bâldea

Truskett

2016

The Journal of Chemical Physics

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Building on a recently introduced inverse strategy, isotropic and convex repulsive pair potentials were designed that favor assembly of particles into kagome and equilateral snub square lattices. The former interactions were obtained by a numerical solution of a variational problem that maximizes the range of density for which the ground state of the potential is the kagome lattice. Similar optimizations targeting the snub square lattice were also carried out, employing a constraint that required a minimum chemical potential advantage of the target over select competing structures. This constraint helped to discover isotropic interactions that meaningfully favored the snub square lattice as the ground state structure despite the asymmetric spatial distribution of particles in its coordination shells and the presence of tightly competing structures. Consistent with earlier published results [W. Piñeros et al., J. Chem. Phys. 144, 084502 (2016)], enforcement of greater chemical potential advantages for the target lattice in the interaction optimization led to assemblies with enhanced thermal stability.

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“…Moreover, the conventional application of transformation optics requires impedance-matched magnetic metamaterials whose implementation is inherently lossy [37,38]. Here, we demonstrate that in the case of two-dimensional conformal transformations, the transformed guided light flows can be materialized inside nonmagnetic metamaterial cores of varying thickness without the need for material implementations in the surrounding regions.…”

Section: Transforming Two-dimensional Guided Modesmentioning

confidence: 85%

“…The || component of the permittivity tensor is constant over the entire structure and can be chosen arbitrarily, and the anisotropies are fairly small. Such structures can be fabricated using 3D printing (direct laser writing) by using small subwavelength ellipsoids as constituent elements [7,38,43], similar to how optical ground-plane cloaks have been realized [43].…”

Section: Nonmagnetic Metamaterials Waveguidesmentioning

confidence: 99%

Transforming two-dimensional guided light using nonmagnetic metamaterial waveguides

et al. 2016

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Almost a decade ago, transformation optics established a geometrical perspective to describe the interaction of light with structured matter, enhancing our understanding and control of light. However, despite their huge technological relevance in applications such as optical circuitry, optical detection, and actuation, guided electromagnetic waves along dielectric waveguides have not yet benefited from the flexibility and conceptual simplicity of transformation optics. Indeed, transformation optics inherently imposes metamaterials not only inside the waveguide's core but also in the surrounding substrate and cladding. Here we restore the two-dimensional nature of guided electromagnetic waves by introducing a thickness variation on an anisotropic dielectric core according to alternative two-dimensional equivalence relations. Our waveguides require metamaterials only inside the core with the additional advantage that the metamaterials need not be magnetic and, hence, our purely dielectric waveguides are low loss. We verify the versatility of our theory with full wave simulations of three crucial functionalities: beam bending, beam splitting, and lensing. Our method opens up the toolbox of transformation optics to a plethora of waveguide-based devices.DOI: 10.1103/PhysRevB.93.085429Geometrical reasoning played a crucial role in the historical development of optics as a scientific discipline, and its successes are associated with the names of great scientists like Snell, de Fermat, Huygens, Newton, and others. To this day, the design of many optical components, e.g., microscopes, displays, and fibers, is based on the ray picture of light, valid for electromagnetic waves inside media with slowly varying refractive index distributions [1]. Through the advent of metamaterials and photonic crystals [2-8]-artificial materials whose electromagnetic properties are determined by subwavelength unit cells-light may be manipulated by enhanced optical properties at the micro-and nanoscale. As a result, there is a growing need for analytical tools to model and design metamaterial devices that act upon the electric and magnetic components of light [9].With the design and experimental demonstration of invisibility cloaks [10][11][12][13][14], transformation optics proved to be an adequate geometrical tool to explore the full potential of metamaterials. Succinctly, transformation optics relies on the form invariance of Maxwell's equations to determine appropriate material properties, i.e., permittivity and permeability distributions, that materialize unconventional light flows based on the deformation of a coordinate system. Using this geometrical perspective of the interaction of light with structured matter, researchers have discovered and reconsidered many optical phenomena in three-dimensional metamaterials with regard to wave propagation [15][16][17] To enhance control on the propagation of surface waves confined to a single interface [21][22][23], several research groups successfully applied the existing framework of transfor...

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Implementation of optical dielectric metamaterials: A review

Cited by 37 publications

References 83 publications

Breadth versus depth: Interactions that stabilize particle assemblies to changes in density or temperature

Breadth versus depth: Interactions that stabilize particle assemblies to changes in density or temperature

Designing convex repulsive pair potentials that favor assembly of kagome and snub square lattices

Transforming two-dimensional guided light using nonmagnetic metamaterial waveguides

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