Extraordinary Optical and Transport Properties of Disordered Stealthy Hyperuniform Two-Phase Media

Abstract

Disordered stealthy hyperuniform (SHU) two-phase media are a special subset of hyperuniform structures with novel physical properties due to their hybrid crystal-liquid nature. We have previously shown that the strong-contrast expansion of a linear fractional form of the effective dynamic dielectric constant leads to accurate approximations for disordered two-phase composites when truncated at the two-point level for distinctly different microstructural symmetries in three dimensions. Here, we further elucidate the extraordinary optical and transport properties of disordered SHU media. Among other results, we prove in detail that SHU layered and transversely isotropic media are perfectly transparent (i.e., no Anderson localization, in principle) within finite wavenumber intervals through the third-order terms. Remarkably, the results for these SHU media imply that there can be no Anderson localization within the predicted perfect transparency interval in practice because the localization length is much larger than any practically large sample size. We further contrast and compare the extraordinary physical properties of SHU layered, transversely isotropic, and fully isotropic media to other model nonstealthy microstructures, including their attenuation characteristics, as measured by the imaginary part of effective dielectric constant, and transport properties, as measured by the time-dependent diffusion spreadability. We demonstrate cross-property relations between them: they are positively correlated as the structures span from nonhyperuniform, nonstealthy hyperuniform, and SHU media. Establishing cross-property relations for SHU media for other wave phenomena (e.g., elastodynamics) and transport properties will also be useful. Cross-property relations are generally useful because they enable one to estimate one property, given a measurement of another.

38 pages, 12 figures, 2 table

References in corpus (24)

• Designer disordered materials with large complete photonic band gaps
• Hyperuniformity of critical absorbing states
• Hyperuniformity and its Generalizations
• Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
• Diagnosing hyperuniformity in two-dimensional disordered jammed-packings of soft spheres
• Suppressed compressibility at large scale in jammed packings of size disperse spheres
• Noise, diffusion, and hyperuniformity
• Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems
• Disordered Hyperuniform Heterogeneous Materials
• The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero
• Stealth acoustic materials
• Optimizing Hyperuniformity in Self-Assembled Bidisperse Emulsions
• Effective Electromagnetic Wave Properties of Disordered Stealthy Hyperuniform Layered Media Beyond the Quasistatic Regime
• Sub-diffusive wave transport and weak localization transition in three-dimensional stealthy hyperuniform disordered systems
• New Tessellation-Based Procedure to Design Perfectly Hyperuniform Disordered Dispersions for Materials Discovery
• Local Order Metrics for Two-Phase Media Across Length Scales
• Hyperuniformity of Maximally Random Jammed Packings of Hyperspheres Across Spatial Dimensions
• Disordered multihyperuniformity derived from binary plasmas
• Theoretical Prediction of the Effective Dynamic Dielectric Constant of Disordered Hyperuniform Anisotropic Composites Beyond the Long-Wavelength Regime
• Disordered hyperuniform vortex matter with rhombic distortions in FeSe at low fields
• Near-field imaging of optical nano-cavities in Hyperuniform disordered materials
• Bandgap fluctuations and robustness in two-dimensional hyperuniform dielectric materials

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