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Self-modulation of fast radio bursts

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Beloborodov,  Andrei M.
Galaxy Formation, Cosmology, MPI for Astrophysics, Max Planck Society;

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Citation

Sobacchi, E., Lyubarsky, Y., Beloborodov, A. M., & Sironi, L. (2020). Self-modulation of fast radio bursts. Monthly Notices of the Royal Astronomical Society, 500(1), 272-281. doi:10.1093/mnras/staa3248.


Cite as: http://hdl.handle.net/21.11116/0000-0007-E911-F
Abstract
Fast radio bursts (FRBs) are extreme astrophysical phenomena entering the realm of non-linear optics, a field developed in laser physics. A classical non-linear effect is self-modulation. We examine the propagation of FRBs through the circumburst environment using the idealized setup of a monochromatic linearly polarized GHz wave propagating through a uniform plasma slab of density N at distance R from the source. We find that self-modulation occurs if the slab is located within a critical radius Rcrit ∼ 1017(N/102 cm−3)(L/1042 erg s−1) cm, where L is the isotropic equivalent of the FRB luminosity. Self-modulation breaks the burst into pancakes transverse to the radial direction. When R ≲ Rcrit, the transverse size of the pancakes is smaller than the Fresnel scale. The pancakes are strongly diffracted as the burst exits the slab, and interference between the pancakes produces a frequency modulation of the observed intensity with a sub-GHz bandwidth. When R ∼ Rcrit, the transverse size of the pancakes becomes comparable with the Fresnel scale, and the effect of diffraction is weaker. The observed intensity is modulated on a time-scale of 10 µm, which corresponds to the radial width of the pancakes. Our results suggest that self-modulation may cause the temporal and frequency structure observed in FRBs.