We demonstrate that Cherenkov radiation can be manipulated in terms of
operation frequency, bandwidth, and efficiency by simultaneously controlling
the properties of drifting electrons and the photonic states supported by their
surrounding media. We analytically show that the radiation rate strongly
depends on the momentum of the excited photonic state, in terms of magnitude,
frequency dispersion, and its variation versus the properties of the drifting
carriers. This approach is applied to design and realize miniaturized,
broadband, tunable, and efficient terahertz and far-infrared sources by
manipulating and boosting the coupling between drifting electrons and
engineered hyperbolic modes in graphene-based nanostructures. The broadband,
dispersive, and confined nature of hyperbolic modes relax momentum matching
issues, avoid using electron beams, and drastically enhance the radiation rate
- allowing that over 90% of drifting electrons emit photons. Our findings open
a new paradigm for the development of solid-state terahertz and infrared
sources.Comment: 4 figure