  Hyperbolic propagation offers exciting opportunities in nanophotonics, from
sub-diffraction imaging to enhanced local density of states. This transport
regime is typically induced by strong modulation of conductivity, i.e., with
alternating metallic and dielectric material properties. Here, we analyze a
moving impedance surface, showing that suitably tailored homogeneous
metasurfaces can support one-way hyperbolic propagation when in motion, adding
non-reciprocity to hyperbolic propagation phenomena, and without suffering from
nonlocal effects stemming from discretization or finite granularity of the
surface.
