The engineering of the spatial and temporal properties
of both
the electric permittivity and the refractive index of materials is
at the core of photonics. When vanishing to zero, those two variables
provide efficient knobs to control light–matter interactions.
This Perspective aims at providing an overview of the state of the
art and the challenges in emerging research areas where the use of
near-zero refractive index and hyperbolic metamaterials is pivotal,
in particular, light and thermal emission, nonlinear optics, sensing
applications, and time-varying photonics.