We propose a unified theoretical framework for the frequency comb formation
and optical feedback effects in semiconductor lasers. We use the quantum
cascade laser as a suitable device to develop the framework unifying these two
research areas, so far treated distinctly. We generate a novel feedback regime
diagram and we provide a proof of principle that feedback can be used to induce
and manipulate frequency combs, selecting their harmonic order. These results
open a pathway towards new methodologies for hyperspectral imaging, multimode
coherent sensing, and multi-channel communication