Electrostatic gating and optical pumping schemes enable efficient time modulation of graphene's free-carrier density, or Drude weight. We develop a theory for plasmon propagation in graphene under temporal modulation. When the modulation is on the timescale of the plasmonic period, we show that it is possible to create a backwards propagating or standing plasmon wave and to amplify plasmons. The theoretical models show very good agreement with direct Maxwell simulations.
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Acknowledgments. This work was initiated at the Institute for Mathematics and its Applications (IMA). J.W. and M.M. acknowledge funding from U.S. Department of Energy, Office of Science, under Contract No. DE-AC02-06CH11357. F.S. acknowledges support from NSF Awards No. DMS-1211884 and No. DMS-1440471. T.L. acknowledges support from IMA and NSF/EFRI-1741660.
© 2018 American Physical Society. US.