On The Theory Of Radiation From Astrophysical Shocks Of Gamma-ray Bursts And The Weibel Turbulence In Laboratory Laser-plasma Experiments

Astronomy and Astrophysics – Astronomy

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Radiation produced by charged relativistic particles undergoing small randomly-oriented accelerations, such that the average particle deflection angle is less than the relativistic beaming angle 1/γ, is referred to as Jitter radiation. It is emitted from small-scale turbulent electromagnetic fields, such as those generated in relativistic collisionless shock fronts of gamma-ray bursts (GRBs) and in Petawatt-scale laser-produced plasmas by the Weibel instability. The spectral characteristics of jitter radiation are distinct from the synchrotron case and intimately related to the magnetic field spectrum at small scales. Here we present calculations of jitter radiation spectra from electrons in a shock front for anisotropic electron energy and angular distributions. We explore the resulting spectral dependence on the parameterization of our model magnetic field spectra and demonstrate the spectral sensitivity to anisotropy in the Weibel-generated magnetic field orientation. Finally, we show how this may be applied to laboratory studies of the Weibel instability in electron beam-plasma interactions, as well as to understanding the rapid temporal variation of the GRB prompt emission.

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