  The energy-momentum dispersion relation is a fundamental property of
plasmonic systems. In this paper, we show that the method of dispersion
engineering can be used for the design of ultra-compact graphene-based
superscatterers. Based on the Bohr model, the dispersion relation of the
equivalent planar waveguide is engineered to enhance the scattering cross
section of a dielectric cylinder. Bohr conditions with different orders are
fulfilled in multiple dispersion curves at the same resonant frequency. Thus
the resonance peaks from the first and second order scattering terms are
overlapped in the deepsubwavelength scale by delicately tuning the gap
thickness between two graphene layers. Using this ultra-compact graphene-based
superscatterer, the scattering cross section of the dielectric cylinder can be
enhanced by five orders of magnitude.
