Effects of random link removal on the photonic band gaps of honeycomb networks

Florescu, Marian; Torquato, Salvatore; Steinhardt, Paul J.

doi:10.1063/1.3505322

Cited by 25 publications

(23 citation statements)

References 21 publications

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“…2 Similar ideas have successfully led to the creation of novel designer materials composed of a hyperuniform disordered arrangement of dielectric materials that have complete photonic band gaps. [24][25][26][27] On the theoretical side, our present computational results strongly indicate that continued annealing of a-Si samples improves the degree of hyperuniformity. Moreover, our simulations suggest that quenching a-Si samples under increased pressure leads to further decrease of S(0) [see Table VI for dependence of S(0) on compression].…”

Section: Discussionmentioning

confidence: 84%

Nearly hyperuniform network models of amorphous silicon

2013

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We introduce the concept of nearly hyperuniform network (NHN) structures as alternatives to the conventional continuous random network (CRN) models for amorphous tetrahedrally coordinated solids, such as amorphous silicon (a-Si). A hyperuniform solid has a structure factor S(k) that approaches zero as the wavenumber k → 0. We define a NHN as an amorphous network whose structure factor S(k → 0) is smaller than the liquid value at the melting temperature. Using a novel implementation of the Stillinger-Weber potential for the interatomic interactions, we show that the energy landscape for a spectrum of NHNs includes a sequence of local minima with an increasing degree of hyperuniformity [smaller S(k → 0)] that is significantly below the frozen-liquid value and that correlates with other measurable features in S(k) at intermediate and large k and with the width of the electronic band gap.

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Section: Discussionmentioning

confidence: 84%

Nearly hyperuniform network models of amorphous silicon

2013

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“…1, occur naturally at the PBG edges and extend over over network domains comprising five to ten cells. Sparsely occurring are accidental localized modes extending on one to three network cells which are promoted into the PBG due to the local topology, but we are not exploring these here [11].In an otherwise unperturbed structure, it is possible to create an intentional localized state of the electromagnetic field by reducing or enhancing the dielectric constant at a certain point in the structure. For a triangular lattice of holes it is common practice to fill a single hole to make a cavity which is often labeled a 1 cavity.…”

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confidence: 99%

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confidence: 99%

High-Qoptical cavities in hyperuniform disordered materials

Amoah

Florescu

2015

Phys. Rev. B

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We introduce designs for high-Q photonic cavities in slab architectures in hyperuniform disordered solids displaying isotropic band gaps. Despite their disordered character, hyperuniform disordered structures have the ability to tightly confine the transverse electric-polarized radiation in slab configurations that are readily fabricable. The architectures are based on carefully designed local modifications of otherwise unperturbed hyperuniform dielectric structures. We identify a wide range of confined cavity modes, which can be classified according to their approximate symmetry (monopole, dipole, quadrupole, etc.) of the confined electromagnetic wave pattern. We demonstrate that quality factors Q > 10 9 can be achieved for purely two-dimensional structures, and that for three-dimensional finite-height photonic slabs, quality factors Q > 20 000 can be maintained. A special class of disordered photonic heterostructures has recently been shown to display large isotropic band gaps comparable in width to band gaps found in photonic crystals [1][2][3]. The large band gaps found in these structures are facilitated by the hyperuniform geometrical properties of the underlying point-pattern template upon which the structures are built. The statistical isotropy of the photonic properties of these materials is highly relevant for a series of novel photonic functionalities including arbitrary angle emission or absorption and free-form waveguiding [3,4].A point pattern in real space is hyperuniform if for large R the number variance σ (R) 2 within a spherical sampling window of radius R (in d dimensions) grows more slowly than the window volume, i.e., more slowly than R d . In Fourier space, hyperuniformity means that the structure factor S(k) approaches zero as |k| → 0 [5,6]. The lack of periodicity in these hyperuniform disordered (HUD) solids demonstrates that Bragg scattering is not a prerequisite for photonic band gaps (PBGs) and that interactions between local resonances and multiple scattering are sufficient, provided that the disorder is constrained to be hyperuniform [1].The concept of optical cavities in HUD photonic materials was recently introduced in Ref. [7]. The structure analyzed was obtained by placing dielectric rods at each point of a hyperuniform point pattern. The radius of one selected rod was varied to achieve localization of the transverse magnetic (TM)-polarized electromagnetic field at that point. The study was based purely on two-dimensional (2D) structures, and vertical confinement, the primary loss pathway in real slab structures, was not discussed. The question of how to achieve index guiding and the essential vertical confinement in disordered photonic slab structures, a prerequisite of realizing cavities with high-quality factors, which can be fabricated using conventional techniques and are fully compatible with existing photonic-circuit layouts, was seen as a potential roadblock in the HUD photonic materials field.In this Rapid Communication we introduce finite-height network structures for...

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“…We employ here the bottom-up approach discussed previously [21,[27][28][29][30], which leads to a nearly-hyperuniform distribution of points. Specifically, we consider an arbitrarily-shaped waveguide path formed by equidistant scattering centres and surrounded by a bulk hyperuniform-like material.…”

Section: D Modes In Nearly-hyperuniform Structuresmentioning

confidence: 99%

Freeform Phononic Waveguides

Gkantzounis

Florescu

2017

Crystals

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Abstract:We employ a recently introduced class of artificial structurally-disordered phononic structures that exhibit large and robust elastic frequency band gaps for efficient phonon guiding. Phononic crystals are periodic structures that prohibit the propagation of elastic waves through destructive interference and exhibit large band gaps and ballistic propagation of elastic waves in the permitted frequency ranges. In contrast, random-structured materials do not exhibit band gaps and favour localization or diffusive propagation. Here, we use structures with correlated disorder constructed from the so-called stealthy hyperuniform disordered point patterns, which can smoothly vary from completely random to periodic (full order) by adjusting a single parameter. Such amorphous-like structures exhibit large band gaps (comparable to the periodic ones), both ballistic-like and diffusive propagation of elastic waves, and a large number of localized modes near the band edges. The presence of large elastic band gaps allows the creation of waveguides in hyperuniform materials, and we analyse various waveguide architectures displaying nearly 100% transmission in the GHz regime. Such phononic-circuit architectures are expected to have a direct impact on integrated micro-electro-mechanical filters and modulators for wireless communications and acousto-optical sensing applications.

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Effects of random link removal on the photonic band gaps of honeycomb networks

Cited by 25 publications

References 21 publications

Nearly hyperuniform network models of amorphous silicon

Nearly hyperuniform network models of amorphous silicon

High-Qoptical cavities in hyperuniform disordered materials

Freeform Phononic Waveguides

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