  Transmission of Dirac fermions through a chip of graphene under the effect of
magnetic field and a time vibrating double barrier with frequency $w$ is
investigated. Quantum interference within the oscillating barrier has an
important effect on quasi-particles tunneling. A combination of both a time
dependent potential and a magnetic field generate physical states whose energy
is double quantified by the pair of integers $(n, l)$ with high degeneracy. The
large number of modes that exist in the energy spectrum presents a colossal
difficulty in numerical computations. Thus we were obliged to make a truncation
and limit ourselves to the central $(n = 0)$ and two adjacent side band ($n=\pm
1$).
