Light in correlated disordered media

Vynck, Kevin; Pierrat, Romain; Carminati, Rémi; Froufe-Pérez, Luis S.; Scheffold, Frank; Sapienza, Riccardo; Vignolini, Silvia; Sáenz, Juan José

doi:10.1103/revmodphys.95.045003

Cited by 30 publications

(13 citation statements)

References 576 publications

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“…This distribution is approximately given by a Hyperuniform disordered pair-correlation of the form figure 6. Adapted from Vynck et al [4]. …”

Section: Numerical Resultsmentioning

confidence: 99%

“…Here we show numerical results for both the Integral method, given in §3a, and the Effective wave method, given in §3b. The software 4 for both is available at [23]. The aim of this section is to show that both methods can use a variety of pair-correlations, and that the two methods match for many choices of parameters.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…There are two essential properties for the pair-correlation for disordered particle positions: gfalse(r2,r1false)=01emfor |r1−r2|<a12and gfalse(r2,r1false)=11emfor |r1−r2|>b12,where a12 is the minimum allowed distance between the particle centres r1 and r2, and when the distance between any two particle centres is greater than b12, then those particles become uncorrelated. See [4] for a review on correlated disordered media. We give examples of pair-correlations in §4 which shows numerical results.…”

Section: The Average Governing Equationsmentioning

confidence: 99%

“…where a 12 is the minimum allowed distance between the particle centres r 1 and r 2 , and when the distance between any two particle centres is greater than b 12 , then those particles become uncorrelated. See [4] for a review on correlated disordered media. We give examples of paircorrelations in §4 which shows numerical results.…”

Section: (B) Ensemble Averagementioning

confidence: 99%

“…There is a long history of developing theoretical frameworks to describe the average scattered wave, as well as the average intensity, for a random set of particles [3]. These theoretical methods have been adapted to electromagnetics and optics [2,[4][5][6][7], and acoustics [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A model to validate effective waves in random particulate media: spherical symmetry

Gower,

Hawkins,

Kristensson

2023

Proc. R. Soc. A.

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There has not been a satisfying numerical validation of the theory of effective waves in random particulate materials. Validation has been challenging because the theoretical methods for effective waves have been limited to random particulate media in infinite slabs or half-spaces, which require a very large number of particles to perform accurate numerical simulations. This paper offers a solution by providing, from first principles, a method to calculate effective waves for a sphere filled with particles for a spherically symmetric incident wave. We show that this case can excite exactly the same effective wavenumbers, which are the most important feature to validate for effective waves. To check correctness, we also deduce an integral equation method which does not assume the effective wave solution. Our methods are, in principal, valid for any frequency, particle volume fraction and disordered pair-correlation. With the methods we provide, it is now possible to validate, with a heavier Monte Carlo simulation, the predictions from effective wave theory.

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“…This distribution is approximately given by a Hyperuniform disordered pair-correlation of the form figure 6. Adapted from Vynck et al [4]. …”

Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: The Average Governing Equationsmentioning

confidence: 99%

Section: (B) Ensemble Averagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A model to validate effective waves in random particulate media: spherical symmetry

Gower,

Hawkins,

Kristensson

2023

Proc. R. Soc. A.

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Organic Crystals and Optical Functions in Biology: Knowns and Unknowns

Addadi,

Kronik,

Leiserowitz

et al. 2024

Advanced Materials

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Organic crystals are widely used by animals to manipulate light for producing structural colors and for improving vision. To date only seven crystal types are known to be used, and among them β‐guanine crystals are by far the most widespread. The fact that almost all these crystals have unusually high refractive indices (RIs) is consistent with their light manipulation function. Here, the physical, structural, and optical principles of how light interacts with the polarizable free‐electron‐rich environment of these quasiaromatic molecules are addressed. How the organization of these molecules into crystalline arrays introduces optical anisotropy and finally how organisms control crystal morphology and superstructural organization to optimize functions in light reflection and scattering are also discussed. Many open questions remain in this fascinating field, some of which arise out of this in‐depth analysis of the interaction of light with crystal arrays. More types of organic crystals will probably be discovered, as well as other organisms that use these crystals to manipulate light. The insights gained from biological systems can also be harnessed for improving synthetic light‐manipulating materials.

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Anomalous Radiative Transfer in Heterogeneous Media

Tommasi,

Pattelli,

Cavalieri

et al. 2024

Advcd Theory and Sims

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Monte Carlo (MC) simulations are the gold standard for describing various transport phenomena and have largely contributed to the understanding of these processes. However, while their implementation for classical transport governed by exponential step‐length distributions is well‐established, widely accepted approaches are still lacking for the more general class of anomalous transport phenomena. In this work, a set of rules for performing MC simulations in anomalous diffusion media is identified, which is also applicable in the case of finite‐size geometries and/or heterogeneous inclusions. The results are presented in the context of radiative transfer, however their implications extend to all types of anomalous transport. The proposed set of rules exhibits full compatibility with the pathlength invariance property for random trajectories, and with the important radiometric concept of fluence. Additionally, it reveals the counter‐intuitive possibility of introducing interfaces between independent subdomains with identical properties, which arise from the fact that non‐exponential step‐length distributions have a “memory” that can in principle be reset when traversing a boundary. These results have far‐reaching consequences not just for the physical interpretation of the corrections required to handle these discontinuities, but also for their experimental verification, due to their expected effects on the observable pathlength distributions.

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Light in correlated disordered media

Cited by 30 publications

References 576 publications

A model to validate effective waves in random particulate media: spherical symmetry

A model to validate effective waves in random particulate media: spherical symmetry

Organic Crystals and Optical Functions in Biology: Knowns and Unknowns

Anomalous Radiative Transfer in Heterogeneous Media

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