The novel concept of degenerate band edge (DBE) has been recently proposed by Figotin et al., in the framework of their study of slow wave propagation in photonic crystals [1]. The degenerate band edge is a special dispersion condition near the edge of the Brillouin zone ( kd=π/p, p is the spatial period) where four degenerate Bloch modes coalesce at a same frequency fd (two propagating modes and two evanescent modes). The dispersion relation is locally described by a quartic curvef−fd=−α(k−kd)4(1)where fd is the DBE frequency and α is a positive constant that depends on the parameters of the structure.