  For dielectric multilayered metamaterials, the effective-parameter
representation is known to be insensitive to geometrical features occurring at
deeply subwavelength scales. However, recent studies on periodic and
aperiodically ordered geometries have shown the existence of certain critical
parameter regimes where this conventional wisdom is upended, as the optical
response of finite-size samples may depart considerably from the predictions of
standard effective-medium theory. In these regimes, characterized by a mixed
evanescent/propagating light transport, different classes of spatial (dis)order
have been shown to induce distinctive effects in the optical response, in terms
of anomalous transmission, localization, enhancement, absorption and lasing.
Here, we further expand these examples by considering a quasiperiodic scenario
based on a modified-Fibonacci geometry. Among the intriguing features of this
model there is the presence of a scale parameter that controls the transition
from perfectly periodic to quasiperiodic scenarios of different shades. Via an
extensive parametric study, this allows us to identify the
quasiperiodicity-induced anomalous effects, and to elucidate certain
distinctive mechanisms and footprints. Our results hold potentially interesting
implications for the optical probing of structural features at a resolution
much smaller than the wavelength, and could also be leveraged to design novel
types of absorbers and low-threshold lasers.
