We present a dynamically tunable anomalous electromagnetic induced transparency (EIT) of a cavity-integrated metallic grating by the coupling of guided-mode resonance (GMR) with cavity-mode resonance (CMR) in the terahertz regime. The strong group slowing effect of terahertz waves results from the EIT mechanism under simultaneous excitation of GMR and CMR at a degenerate state. With the introduction of graphene as a functional layer overlying the grating structure, the enhanced group delay can be achievable beyond 6.1 ps with stable operation frequency and signal efficiency by tuning the graphene Fermi level. The work could provide an efficient scheme to manipulate the group velocity of terahertz signals.
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