  Photon-assisted charge transport through a double barrier structure under a
time periodic field in graphene is studied. Within the framework of the Floquet
formalism and using the transfer matrix method, the transmission probabilities
for the central band and sidebands are calculated. A critical phase difference
between the harmonic potentials at the barriers, which cancels transmission
through the inelastic sidebands due to quantum interference is found. This
phenomenon could be of help to design graphene based filters and high-frequency
radiation detectors. Quenching of resonant tunneling by the harmonic field
applied to the barriers or the well is also discussed.
