Effective electromagnetic wave properties of disordered stealthy hyperuniform layered media beyond the quasistatic regime

Disordered stealthy hyperuniform dielectric composites exhibit novel electromagnetic wave transport properties in two and three dimensions. Here, we carry out the first study of the electromagnetic properties of one-dimensional 1D) disordered stealthy hyperuniform layered media. From an exact nonlocal theory, we derive an approximation formula for the effective dynamic dielectric constant tensor epsilon(e)(k(q), omega) of general 1D media that is valid well beyond the quasistatic regime and apply it to 1D stealthy hyperuniformsystems. We consider incident waves of transverse polarization, frequency omega, and wavenumber k(q). Our formula for epsilon(e)(k(q), omega), which is given in terms of the spectral density, leads to a closed-form relation for the transmittance T. Our theoretical predictions are in excellent agreement with finitedifference time-domain (FDTD) simulations. Stealthy hyperuniformlayered media have perfect transparency intervals up to a finite wavenumber, implying no Anderson localization, but non-stealthy hyperuniform media are not perfectly transparent. Our predictive theory provides a new path for the inverse design of the wave characteristics of disordered layered media, which are readily fabricated, by engineering their spectral densities. (c) 2023 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement