Hyperuniformity in amorphous speckle patterns

Battista, Diego Di; Ancora, Daniele; Zacharakis, Giannis; Ruocco, G.; Leonetti, Marco

doi:10.1364/oe.26.015594

Cited by 15 publications

(8 citation statements)

References 56 publications

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“…Among conventional focusing and imaging through disordered media [7,33], our approach finds a major application for the comprehension of structured focusing [34,35], to study Anderson localization in disordered fibers [36] or signal transmission through hyperuniform channels [37]. Moreover, the bidirectional approach let our framework consistent for the study of truncated channels: when observing a fiber, we can look at the whole fiber's output compared with the whole input, while this is not always true in case the observation in done in a confined output region [33].…”

Section: Discussionmentioning

confidence: 99%

Transmission Matrix Inference via Pseudolikelihood Decimation

Ancora¹,

Leuzzi²

2019

Preprint

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One of the biggest challenges in the field of biomedical imaging is the comprehension and the exploitation of the photon scattering through disordered media. Many studies have pursued the solution to this puzzle, achieving light-focusing control or reconstructing images in complex media. In the present work, we investigate how statistical inference helps the calculation of the transmission matrix in a complex scrambling environment, enabling its usage like a normal optical element. We convert a linear input-output transmission problem into a statistical formulation based on pseudolikelihood maximization, learning the coupling matrix via random sampling of intensity realizations. Our aim is to uncover insights from the scattering problem, encouraging the development of novel imaging techniques for better medical investigations, borrowing a number of statistical tools from spin-glass theory.

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Section: Discussionmentioning

confidence: 99%

Transmission Matrix Inference via Pseudolikelihood Decimation

Ancora¹,

Leuzzi²

2019

Preprint

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“…From an array sampling point perspective, these types of distributions can eliminate grating lobes. Due to the random nature of these distributions, we would limit our discussions on these hyperuniform arrangements and focus on LDS techniques and refer the interested reader to [ 36 , 37 , 38 , 39 , 40 ].…”

Section: Sampling Points On a Planar Aperturementioning

confidence: 99%

Low Discrepancy Sparse Phased Array Antennas

Torres

Anselmi

Nayeri

et al. 2021

Sensors

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Sparse arrays have grating lobes in the far field pattern due to the large spacing of elements residing in a rectangular or triangular grid. Random element spacing removes the grating lobes but produces large variations in element density across the aperture. In fact, some areas are so dense that the elements overlap. This paper introduces a low discrepancy sequence (LDS) for generating the element locations in sparse planar arrays without grating lobes. This nonrandom alternative finds an element layout that reduces the grating lobes while keeping the elements far enough apart for practical construction. Our studies consider uniform sparse LDS arrays with 86% less elements than a fully populated array, and numerical results are presented that show these sampling techniques are capable of completely removing the grating lobes of sparse arrays. We present the mathematical formulation for implementing an LDS generated element lattice for sparse planar arrays, and present numerical results on their performance. Multiple array configurations are studied, and we show that these LDS techniques are not impacted by the type/shape of the planar array. Moreover, in comparison between the LDS techniques, we show that the Poisson disk sampling technique outperforms all other approaches and is the recommended LDS technique for sparse arrays.

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“…To date, a variety of disordered hyperuniform systems have been identified, including classical equilibrium systems [17,18,19,20,21,22], quantum systems [23,24,25], maximally random jammed packings [26,27,28], non-equilibrium critical states [29,30], nonequilibrium dynamical systems [31], random speckle patterns [32], number theory [20,33,34,35], and biological systems [36,37,38,39]; see also a recent review [3] and references therein. While some of these systems [17,18,19,20,21,22,23,24,25,34,35] are proved to be perfectly hyperuniform in the infinite-sample-size limit, others are effectively hyperuniform, i.e.,χ V (0) is not exactly zero but small compared to the peak value of the spectral density [3,40].…”

Section: Introductionmentioning

confidence: 99%

New tessellation-based procedure to design perfectly hyperuniform disordered dispersions for materials discovery

Kim

Torquato

2019

Acta Materialia

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Disordered hyperuniform dispersions are exotic amorphous two-phase materials characterized by an anomalous suppression of long-wavelength volume-fraction fluctuations, which endows them with novel physical properties. While such unusual materials have received considerable attention, a stumbling block has been an inability to create large samples that are truly hyperuniform due to current computational and experimental limitations. To overcome such barriers, we introduce a new and simple construction procedure that guarantees perfect hyperuniformity for very large sample sizes. This methodology involves tessellating space into cells and then inserting a particle into each cell such that the local-cell particle packing fractions are identical to the global packing fraction. We analytically prove that such dispersions are perfectly hyperuniform in the infinite-sample-size limit. Our methodology enables a remarkable mapping that converts a very large nonhyperuniform disordered dispersion into a perfectly hyperuniform one, which we numerically demonstrate in two and three dimensions. A similar analysis also establishes the hyperuniformity of the famous Hashin-Shtrikman multiscale dispersions, which possess optimal transport and elastic properties. Our hyperuniform designs can be readily fabricated using modern photolithographic and 3D printing technologies. The exploration of the enormous class of hyperuniform dispersions that can be designed and tuned by our tessellation-based methodology paves the way for accelerating the discovery of novel hyperuniform materials.

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Hyperuniformity in amorphous speckle patterns

Cited by 15 publications

References 56 publications

Transmission Matrix Inference via Pseudolikelihood Decimation

Transmission Matrix Inference via Pseudolikelihood Decimation

Low Discrepancy Sparse Phased Array Antennas

New tessellation-based procedure to design perfectly hyperuniform disordered dispersions for materials discovery

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