Enhancement of weak nonlocality in aperiodically ordered multilayered dielectric metamaterials

In certain critical parameter regimes, dielectric multilayered metamaterials made of deeply subwavelength layers may exhibit enhanced nonlocal effects, manifested as significant differences between the exact optical response of finite-size metamaterial samples and the effective-medium-theory prediction. Here, we extend these observations (insofar available for periodic and random geometries) to aperiodically ordered scenarios. With specific reference to the Thue-Morse geometry, we highlight the similarities and differences with previous observations, as well as the distinctive footprints of aperiodic order.