Non-linear propagation effects in Fast Radio Bursts

The discovery of Fast Radio Bursts (FRBs), bright flashes of millisecond duration, has been a major breakthrough in radio astronomy. Sufficiently close to the engine, electrons in the field of the FRB electromagnetic wave oscillate with relativistic velocities. In this regime, the propagation of the FRB wave is subject to non-linear effects, including induced Compton scattering, induced Raman scattering, and modulation/filamentation instabilities. I will focus on modulation/filamentation instabilities, and discuss their imprint on the spectral and temporal properties of FRBs.