  We reveal that the phenomenon of full transmission without phase accumulation
commonly associated with epsilon-near-zero (ENZ) materials for a plane-wave
does not require vanishing of permittivity. We theoretically connect the
phenomenon with condition of the Brewster effect satisfied at the edges of stop
bands (so called exceptional points of degeneracy) and show that the full
transmission without phase accumulation can be observed in various
one-dimensional periodic structures. Particularly, exploiting the manifold of
exceptional points of degeneracy in one-dimensional all-dielectric periodic
lattices, we demonstrate that these structures not only offer a lossless and
extremely simple, CMOS compatible alternative for some applications of ENZ
media, but exhibit new properties of all-angle full transmission with zero
phase delay.
