Coherent Electromagnetic Emission from Relativistic Magnetized Shocks

Abstract

Relativistic magnetized shocks are a natural source of coherent emission, offering a plausible radiative mechanism for Fast Radio Bursts (FRBs). We present first-principles 3D simulations that provide essential information for the FRB models based on shocks: the emission efficiency, spectrum, and polarization. The simulated shock propagates in an $e^{\pm }$ plasma with magnetization $\sigma >1$. The measured fraction of shock energy converted to coherent radiation is $\simeq 10^{-3}{\sigma }^{-1}$, and the energy-carrying wavenumber of the wave spectrum is $\simeq 4{\omega }_{\mathrm{c}}/c$, where ${\omega }_{\mathrm{c}}$ is the upstream gyrofrequency. The ratio of the O-mode and X-mode energy fluxes emitted by the shock is $\simeq 0.4{\sigma }^{-1}$. The dominance of the X-mode at $\sigma \gg 1$ is particularly strong, approaching 100% in the spectral band around $2{\omega }_{\mathrm{c}}$. We also provide a detailed description of the emission mechanism for both X- and O-modes.

arXiv comment6 pages, 5 figures, accepted to PRL

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