Anderson self-localization of light in pair plasmas
We demonstrate that in pair plasma weakly nonlinear electromagnetic waves, $a_0 \leq 1$, experience Anderson self-localization. The beat between the driver and a back-scattered wave creates charge-neutral, large random, {yet correlated} density fluctuations $δn/n_0 \gg 1$, and corresponding fluctuations of the dielectric permittivity $ε$ (random plasma density grating). Propagating in quasi-1D, waves in a medium with spatially random self-created fluctuations of dielectric permeability experience localization. In the linear regime, the instability can be classified as Induced Brillouin Scattering; it is described by the parameter $ρ_L = \left( a_0 { ω_{p}/ }ω\right)^{2/3} \ll 1 $, related to the Pierce parameter of Free Electron Lasers. In the cold case, {the growth rate is $Γ\approx ρ_{L} ω\ll 1 $} ($a_0 $ is laser nonlinearity parameter, $ω_p$ is plasma frequency, $ω$ is the laser frequency). Anderson self-localization of light leads to (i) reflection of EM waves by the under-dense pair plasma; (ii) a wave already present inside the plasma separates into bright trapped pockets and dark regions. Mild initial thermal spread with $Θ\equiv k_B T/(m_e c^2) \approx a_0^2$, restores wave propagation by suppressing the seeds of parametrically unstable density fluctuations. A circularly polarized driver produces linearly polarized structures, with position angle varying randomly between the bright pulses. {Time-variability of the resulting density structures does not suppress localization due to remaining correlations (not white noise)}. We discuss possible applications to astrophysical Fast Radio Bursts.