Extraordinary Electromagnetic Properties of Disordered Stealthy Hyperuniform Layered Media

Disordered stealthy hyperuniform dielectric composites exhibit novel electromagnetic wave transport properties in two and three dimensions, but much less is known about such one-dimensional (1D) or layered media. From exact nonlocal strong-contrast expansions of the effective dynamic dielectric constant tensor that treat general three-dimensional two-phase composites with arbitrary structural symmetries, we extract an approximation formula suited for general layered media. This formula depends on the microstructure via the spectral density, and we apply it to estimate the effective dielectric constant for stealthy hyperuniform (SHU) variants. In particular, we predict that 1D SHU media are perfectly transparent (i.e., no Anderson localization, in principle) within finite wavenumber intervals. We validate that the resulting predictions are very accurate well beyond the long-wavelength regime by showing good agreement with the finite-difference time-domain simulations. The high predictive power of our formula implies that higher-order contributions are negligibly small. Indeed, we prove that such transparency intervals are exact through the next-order terms in the expansion. Thus, there can be no Anderson localization within the predicted perfect transparency interval in 1D SHU media in practice because the localization length (associated with only possibly negligibly small higher-order contributions) should be very large compared to any practically large sample size.