The magneto-optical responses and photonic band gap properties of the microcavityintegrated graphene photonic crystals were numerically studied. The structure consists
of a graphene sheet embedded between two mirror symmetric Bragg reflectors, under
the influence of an external static magnetic field. The properties of the microcavity
resonance mode were investigated, considering the right- and left-handed circular polarization transmission coefficients and their phases, together with the Faraday rotation
angle and ellipticity of the output light. The effects of the repetition number of the Bragg
reflectors, thickness of the microcavity central layer and refractive indices of the graphene adjacent layers were considered. The obtained results revealed that a pure linear
polarized output light with no ellipticity and high transmittance enhanced Faraday
rotation can be achieved. These results can be utilized in designing a variety of graphene
based photonic devices and magneto-optical integrated elements, such as miniaturized
isolators or circulators.