  In this paper, we propose an asymmetric distribution of a hexagonal lattice
for achieving near-zero group velocity with negative group delay. This study
reports the effect of the continuous geometric perturbation on the photonic
band diagram and consequently its impact on phase velocity, group velocity, and
effective refractive index. We provide a promising method for modifying the
photonic band diagram for obtaining an exotic dispersion diagram. With this
obtaining a broadband spanning from E to L band that envelop of light pulse
traverse with almost zero velocity is promising enough to apply it in a wide
variety of light-based devices.
