Confining
near-infrared (NIR) and mid-infrared (MIR) radiation
(1–10 μm) at the nanoscale is one of the main challenges
in photonics. Thanks to the transparency of silicon in the NIR-MIR
range, optoelectronic systems like electro-optical modulators have
been broadly designed in this range. However, the trade-off between
energy-per-bit consumption and speed still constitutes a significant
bottleneck, preventing such a technology to express its full potentialities.
Moreover, the harmless nature of NIR radiation makes it ideal for
bio-photonic applications. In this work, we theoretically showcase
a new kind of electro-optical modulators in the NIR-MIR range that
optimize the trade-off between power consumption, switching speed,
and light confinement, leveraging on the interplay between graphene
and metamaterials. We investigate several configurations among which
the one consisting in a SiO2/graphene hyperbolic metamaterial
(HMM) outstands. The peculiar multilayered configuration of the HMM
allowed one also to minimize the equivalent electrical capacitance
to achieve attoJoule electro/optical modulation at about 500 MHz switching
speed. This system manifests the so-called dielectric singularity,
in correspondence to which an HMM lens with resolving power of λ/1660 has been designed, allowing to resolve 3 nm-wide
objects placed at an interdistance of 3 nm and to overcome the diffraction
limit by 3 orders of magnitude. The imaging possibilities opened by
such technologies are evident especially in bio-photonic applications,
where the investigation of biological entities with tailored/broadband-wavelength
radiation and nanometer precision is necessary. Moreover, the modulation
performances demonstrated by the graphene-based HMM configure it as
a promise for ultrafast and low-power opto-electronics applications.