Metadisorder for designer light in random systems

Yu, Sunkyu; Piao, Xianji; Hong, Jiho; Park, Namkyoo

doi:10.1126/sciadv.1501851

Cited by 23 publications

(16 citation statements)

References 47 publications

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“…1. It is a popular model studied in the optics community, among others, where it is used to understand how the introduction of disorder in lattices influences the resultant optical properties of the materials [3,4,[22][23][24][25][26][27][28][29][30]. Perturbed lattices are special cases of hyperuniform systems.…”

Section: Introductionmentioning

confidence: 99%

Cloaking the underlying long-range order of randomly perturbed lattices

2020

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Random, uncorrelated displacements of particles on a lattice preserve the hyperuniformity of the original lattice, that is, normalized density fluctuations vanish in the limit of infinite wavelengths. In addition to a diffuse contribution, the scattering intensity from the the resulting point pattern typically inherits the Bragg peaks (long-range order) of the original lattice. Here we demonstrate how these Bragg peaks can be hidden in the effective diffraction pattern of independent and identically distributed perturbations. All Bragg peaks vanish if and only if the sum of all probability densities of the positions of the shifted lattice points is a constant at all positions. The underlying longrange order is then 'cloaked' in the sense that it cannot be reconstructed from the pair correlation function alone. On the one hand, density fluctuations increase monotonically with the strength of perturbations a, as measured by the hyperuniformity order metric Λ. On the other hand, the disappearance and reemergence of long-range order, depending on whether the system is cloaked or not as the perturbation strength increases, is manifestly captured by the τ order metric. Therefore, while the perturbation strength a may seem to be a natural choice for an order metric of perturbed lattices, the τ order metric is a superior choice. It is noteworthy that cloaked perturbed lattices allow one to easily simulate very large samples (with at least 10 6 particles) of disordered hyperuniform point patterns without Bragg peaks.

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Section: Introductionmentioning

confidence: 99%

Cloaking the underlying long-range order of randomly perturbed lattices

2020

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“…Our new findings of low-dimensional chirality will pave a route toward active chiral devices [25], such as on-chip guided-wave devices for chiral lasers, amplifiers, absorbers, and switches [34] as well as complex chiral metamaterials [9] and topological phases. From the evident correlation between complex potentials and optical chirality, we can also imagine the eigenstate with nontrivial optical spins in 'non-PT-symmetric' complex potentials, by utilizing supersymmetry technique [35,36] or the inverse design of an eigenstate in disordered media [37]. Based on the general framework of non-Hermitian physics, we note that our work can be further extended using different polarization bases (Supplementary Note 6) to enable SOP collection for the arbitrary designer polarization.…”

Section: Resultsmentioning

confidence: 99%

Low-dimensional optical chirality in complex potentials

Park

Piao

et al. 2016

Optica

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Chirality is a universal feature in nature, as observed in fermion interactions and DNA helicity. Much attention has been given to chiral interactions of light, not only regarding its physical interpretation but also focusing on intriguing phenomena in excitation, absorption, refraction, and topological phase. Although recent progress in metamaterials has spurred artificial engineering of chirality, most approaches are founded on the same principle of the mixing of electric and magnetic responses. Here we propose nonmagnetic chiral interactions of light based on low-dimensional eigensystems. Exploiting the mixing of amplifying and decaying electric modes in a complex material, the lowdimensionality in polarization space having a chiral eigenstate is realized, in contrast to 2-dimensional eigensystems in previous approaches. The existence of optical spin black hole from low-dimensional chirality is predicted, and singular interactions between chiral waves are confirmed experimentally in parity-time-symmetric metamaterials.

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“…The task of driving light at the nanoscale is usually fulfilled by homogeneous waveguides or photonic crystals supporting a band gap [4]: completely ordered structures which allow to tailor the light flow. On the other hand, recent studies on complex materials and photonic glasses [5,6] demonstrated that complete gaps can be found also in case of designed disorder [7,8], which is today inspiring new platforms to overcome the present limitations encountered in photonic applications [9] and enabling extraordinary optical phenomena [10][11][12][13]. Light propagating in disordered media generates speckle patterns that are also complex light features, they are originated by random scattering through or by a rough dielectric slab.…”

Section: Introductionmentioning

confidence: 99%

Hyperuniformity in amorphous speckle patterns

Battista¹,

Ancora²,

Zacharakis³

et al. 2018

Opt. Express

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Hyperuniform structures possess the ability to confine and drive light, although their fabrication is extremely challenging. Here we demonstrate that speckle patterns obtained by a superposition of randomly arranged sources of Bessel beams can be used to generate hyperunifrom scalar fields. By exploiting laser light tailored with a spatial filter, we experimentally produce (without requiring any computational power) a speckle pattern possessing maxima at locations corresponding to a hyperuniform distribution. By properly filtering out intensity fluctuation from the same speckle pattern, it is possible to retrieve an intensity profile satisfying the hyperuniformity requirements. Our findings are supported by extensive numerical simulations.

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Metadisorder for designer light in random systems

Abstract: We propose the concept of metadisorder for globally collective and small-world–like waves in randomly coupled systems.

Cited by 23 publications

References 47 publications

Cloaking the underlying long-range order of randomly perturbed lattices

Cloaking the underlying long-range order of randomly perturbed lattices

Low-dimensional optical chirality in complex potentials

Hyperuniformity in amorphous speckle patterns

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