“…By substituting in equation (4) and recalling that the phase gradient is given by equation (5), we find that From equation (6), we note that by decreasing the phase velocity of the excitation, that is, by increasing the magnitude of the denominator, one could access an interesting new regime in which a propagating polarization wave, with dispersion given by ω = c RWP,gen k, exists along the line of apertures without creating any SPP wakes. Such a subplasmonical regime is connected to the recent work by Sun et al and Qu et al, in which the authors studied the propagation of waves guided along gradient-index metasurfaces and their re-radiation into free space [26][27][28] .…”